Revisiting the SUSY μ problem and its solutions in the LHC era

Bae, Kyu Jung; Baer, Howard; Barger, Vernon; Sengupta, Dibyashree

doi:10.1103/PhysRevD.99.115027

Title: Revisiting the SUSY $μ$ problem and its solutions in the LHC era

Abstract

The supersymmetry preserving mu parameter in SUSY theories is naively expected to be of order the Planck scale while phenomenology requires it to be of order the weak scale. This is the famous SUSY mu problem. Its solution involves two steps: 1. first forbid mu, perhaps via some symmetry, and then 2. re-generate it of order the scale of soft SUSY breaking terms. However, present LHC limits suggest the soft breaking scale m_{soft} lies in the multi-TeV regime whilst naturalness requires mu~ m_{W,Z,h}~ 100 GeV so that a Little Hierarchy (LH) appears with mu << m_{soft}. We review twenty previously devised solutions to the SUSY mu problem and re-evaluate them in light of whether they are apt to support the LH. We organize the twenty solutions according to: 1. solutions from supergravity/superstring constructions, 2. extended MSSM solutions, 3. solutions from an extra local U(1)' and 4. solutions involving Peccei-Quinn (PQ) symmetry and axions. Early solutions would invoke a global Peccei-Quinn symmetry to forbid the mu term while relating the mu solution to solving the strong CP problem via the axion. We discuss the gravity-safety issue pertaining to global symmetries and the movement instead toward local gauge symmetries or R-symmetries, eithermore »« less

Authors:: Bae, Kyu Jung; Baer, Howard; Barger, Vernon; Sengupta, Dibyashree

Publication Date:: Fri Jun 21 00:00:00 EDT 2019

Research Org.:: Univ. of Oklahoma, Norman, OK (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1528667

Alternate Identifier(s):: OSTI ID: 1600538

Report Number(s):: arXiv:1902.10748
Journal ID: ISSN 2470-0010; PRVDAQ; 115027

Grant/Contract Number:: SC0009956

Resource Type:: Published Article

Journal Name:: Physical Review. D.

Additional Journal Information:: Journal Name: Physical Review. D. Journal Volume: 99 Journal Issue: 11; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; supersymmetry; LHC; dark matter

Citation Formats


                    Bae, Kyu Jung, Baer, Howard, Barger, Vernon, and Sengupta, Dibyashree. Revisiting the SUSY μ problem and its solutions in the LHC era.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevD.99.115027.

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                    Bae, Kyu Jung, Baer, Howard, Barger, Vernon, & Sengupta, Dibyashree. Revisiting the SUSY μ problem and its solutions in the LHC era.  United States.  https://doi.org/10.1103/PhysRevD.99.115027

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                    Bae, Kyu Jung, Baer, Howard, Barger, Vernon, and Sengupta, Dibyashree. Fri .  
"Revisiting the SUSY μ problem and its solutions in the LHC era".  United States.  https://doi.org/10.1103/PhysRevD.99.115027.

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@article{osti_1528667,

  title        = {Revisiting the SUSY μ problem and its solutions in the LHC era},

  author       = {Bae, Kyu Jung and Baer, Howard and Barger, Vernon and Sengupta, Dibyashree},

  abstractNote = {The supersymmetry preserving mu parameter in SUSY theories is naively expected to be of order the Planck scale while phenomenology requires it to be of order the weak scale. This is the famous SUSY mu problem. Its solution involves two steps: 1. first forbid mu, perhaps via some symmetry, and then 2. re-generate it of order the scale of soft SUSY breaking terms. However, present LHC limits suggest the soft breaking scale m_{soft} lies in the multi-TeV regime whilst naturalness requires mu~ m_{W,Z,h}~ 100 GeV so that a Little Hierarchy (LH) appears with mu << m_{soft}. We review twenty previously devised solutions to the SUSY mu problem and re-evaluate them in light of whether they are apt to support the LH. We organize the twenty solutions according to: 1. solutions from supergravity/superstring constructions, 2. extended MSSM solutions, 3. solutions from an extra local U(1)' and 4. solutions involving Peccei-Quinn (PQ) symmetry and axions. Early solutions would invoke a global Peccei-Quinn symmetry to forbid the mu term while relating the mu solution to solving the strong CP problem via the axion. We discuss the gravity-safety issue pertaining to global symmetries and the movement instead toward local gauge symmetries or R-symmetries, either continuous or discrete. At present, discrete R-symmetries of order M (Z_M^R) which emerge as remnants of Lorentz symmetry of compact dimensions seem favored. Even so, a wide variety of regenerative mechanisms are possible, some of which relate to other issues such as the strong CP problem or the generation of neutrino masses. We also discuss the issue of experimental verification or falsifiability of various solutions to the mu problem. Almost all solutions seem able to accommodate the LH.},

  doi          = {10.1103/PhysRevD.99.115027},

  journal      = {Physical Review. D.},

  number       = 11,

  volume       = 99,

  place        = {United States},

  year         = {Fri Jun 21 00:00:00 EDT 2019},

  month        = {Fri Jun 21 00:00:00 EDT 2019}

}

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Works referenced in this record:

Solutions to the strong-CP problem in a world with gravity
journal, May 1992

Holman, Richard; Hsu, Stephen D. H.; Kephart, Thomas W.
Physics Letters B, Vol. 282, Issue 1-2
DOI: 10.1016/0370-2693(92)90491-L

R symmetry and the μ problem
journal, July 2002

Hall, Lawrence J.; Nomura, Yasunori; Pierce, Aaron
Physics Letters B, Vol. 538, Issue 3-4
DOI: 10.1016/S0370-2693(02)02043-9

Peccei-Quinn symmetry from a gauged discrete $R$ symmetry
journal, October 2013

Harigaya, Keisuke; Ibe, Masahiro; Schmitz, Kai
Physical Review D, Vol. 88, Issue 7
DOI: 10.1103/PhysRevD.88.075022

Upper Bound of the Lightest Higgs Boson Mass in the Minimal Supersymmetric Standard Model
journal, January 1991

Okada, Yasuhiro; Yamaguchi, Masahiro; Yanagida, Tsutomu
Progress of Theoretical Physics, Vol. 85, Issue 1
DOI: 10.1143/PTP.85.1

Radiative breaking of Peccei-Quinn symmetry at the intermediate mass scale
journal, October 1992

Murayama, H.; Suzuki, Hiroshi; Yanagida, T.
Physics Letters B, Vol. 291, Issue 4
DOI: 10.1016/0370-2693(92)91397-R

A unique <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msubsup><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mn>4</mml:mn><mml:mi>R</mml:mi></mml:msubsup></mml:math> symmetry for the MSSM
journal, January 2011

Lee, Hyun Min; Raby, Stuart; Ratz, Michael
Physics Letters B, Vol. 694, Issue 4-5
DOI: 10.1016/j.physletb.2010.10.038

Coupled Boltzmann computation of mixed axion neutralino dark matter in the SUSY DFSZ axion model
journal, October 2014

Bae, Kyu Jung; Baer, Howard; Lessa, Andre
Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 10
DOI: 10.1088/1475-7516/2014/10/082

Prospects for axion detection in natural SUSY with mixed axion-higgsino dark matter: back to invisible?
journal, June 2017

Bae, Kyu Jung; Baer, Howard; Serce, Hasan
Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 06
DOI: 10.1088/1475-7516/2017/06/024

Observables in Low-Energy Superstring Models
journal, April 1986

Ellis, John; Enqvist, K.; Nanopoulos, D. V.
Modern Physics Letters A, Vol. 01, Issue 01
DOI: 10.1142/S0217732386000105

The Higgs mass and natural supersymmetric spectrum from the landscape
journal, July 2016

Baer, Howard; Barger, Vernon; Savoy, Michael
Physics Letters B, Vol. 758
DOI: 10.1016/j.physletb.2016.05.010

Gravity and global symmetries
journal, July 1995

Kallosh, Renata; Linde, Andrei; Linde, Dmitri
Physical Review D, Vol. 52, Issue 2
DOI: 10.1103/PhysRevD.52.912

Naturalness and light Higgsinos: why ILC is the right machine for SUSY discovery
conference, March 2018

Lehtinen, Suvi-Leena; Baer, Howard; Berggren, Mikael
Proceedings of The European Physical Society Conference on High Energy Physics — PoS(EPS-HEP2017)
DOI: 10.22323/1.314.0306

Higgs Boson theory and phenomenology
journal, January 2003

Carena, M.; Haber, H. E.
Progress in Particle and Nuclear Physics, Vol. 50, Issue 1
DOI: 10.1016/S0146-6410(02)00177-1

Weak symmetry breaking by radiative corrections in broken supergravity
journal, June 1983

Ellis, John; Hagelin, John S.; Nanopoulos, D. V.
Physics Letters B, Vol. 125, Issue 4
DOI: 10.1016/0370-2693(83)91283-2

Gravity and the domain-wall problem
journal, March 1994

Rai, Balram; Senjanović, Goran
Physical Review D, Vol. 49, Issue 6
DOI: 10.1103/PhysRevD.49.2729

Discrete $R$ symmetries and low energy supersymmetry
journal, September 2010

Dine, Michael; Kehayias, John
Physical Review D, Vol. 82, Issue 5
DOI: 10.1103/PhysRevD.82.055014

The Next-to-Minimal Supersymmetric Standard Model
journal, November 2010

Ellwanger, Ulrich; Hugonie, Cyril; Teixeira, Ana M.
Physics Reports, Vol. 496, Issue 1-2
DOI: 10.1016/j.physrep.2010.07.001

Axions in inflationary cosmology
journal, April 1991

Linde, Andrei
Physics Letters B, Vol. 259, Issue 1-2
DOI: 10.1016/0370-2693(91)90130-I

Upper bounds on supersymmetric particle masses
journal, August 1988

Barbieri, R.; Giudice, G. F.
Nuclear Physics B, Vol. 306, Issue 1
DOI: 10.1016/0550-3213(88)90171-X

LHC SUSY and WIMP dark matter searches confront the string theory landscape
journal, April 2019

Baer, Howard; Barger, Vernon; Salam, Shadman
Journal of High Energy Physics, Vol. 2019, Issue 4
DOI: 10.1007/JHEP04(2019)043

Locally supersymmetric SU(5) grand unification
journal, December 1982

Ibáñez, Luis
Physics Letters B, Vol. 118, Issue 1-3
DOI: 10.1016/0370-2693(82)90604-9

Theory and phenomenology of μ in M theory
journal, May 2011

Samir Acharya, Bobby; Kane, Gordon; Kuflik, Eric
Journal of High Energy Physics, Vol. 2011, Issue 5
DOI: 10.1007/JHEP05(2011)033

Supersymmetry, naturalness and light higgsinos
journal, May 2014

Mustafayev, Azar; Tata, Xerxes
Indian Journal of Physics, Vol. 88, Issue 9
DOI: 10.1007/s12648-014-0504-8

Neutrino Majorana masses from string theory instanton effects
journal, March 2007

Ibáñez, Luis E.; Uranga, Angel M.
Journal of High Energy Physics, Vol. 2007, Issue 03
DOI: 10.1088/1126-6708/2007/03/052

SU(2)L × U(1) symmetry breaking as a radiative effect of supersymmetry breaking in GUTs
journal, April 1982

Ibán̄ez, Luis; Ross, Graham G.
Physics Letters B, Vol. 110, Issue 3-4
DOI: 10.1016/0370-2693(82)91239-4

Spontaneous discrete symmetry breaking during inflation and the NMSSM domain wall problem
journal, October 1998

McDonald, John
Nuclear Physics B, Vol. 530, Issue 1-2
DOI: 10.1016/S0550-3213(98)00414-3

Gauge hierarchy in a supersymmetric model
journal, February 1982

Kaul, Romesh K.
Physics Letters B, Vol. 109, Issue 1-2
DOI: 10.1016/0370-2693(82)90453-1

Towards a theory of soft terms for the supersymmetric standard model
journal, July 1994

Brignole, A.
Nuclear Physics B, Vol. 422, Issue 1-2
DOI: 10.1016/0550-3213(94)00068-9

$G_{2}$ -MSSM: An $M$ theory motivated model of particle physics
journal, September 2008

Acharya, Bobby S.; Bobkov, Konstantin; Kane, Gordon L.
Physical Review D, Vol. 78, Issue 6
DOI: 10.1103/PhysRevD.78.065038

A simple solution to the strong CP problem with a harmless axion
journal, August 1981

Dine, Michael; Fischler, Willy; Srednicki, Mark
Physics Letters B, Vol. 104, Issue 3
DOI: 10.1016/0370-2693(81)90590-6

Stabilizing the axion by discrete gauge symmetries
journal, May 2003

Babu, K. S.; Gogoladze, Ilia; Wang, Kai
Physics Letters B, Vol. 560, Issue 3-4
DOI: 10.1016/S0370-2693(03)00411-8

Anomaly-free gauged R-symmetry in local supersymmetry
journal, January 1996

Chamseddine, A. H.; Dreiner, Herbi
Nuclear Physics B, Vol. 458, Issue 1-2
DOI: 10.1016/0550-3213(95)00583-8

Axion-induced topology change in quantum gravity and string theory
journal, September 1988

Giddings, Steven B.; Strominger, Andrew
Nuclear Physics B, Vol. 306, Issue 4
DOI: 10.1016/0550-3213(88)90446-4

Large Hierarchies from Approximate $R$ Symmetries
journal, March 2009

Kappl, Rolf; Nilles, Hans Peter; Ramos-Sánchez, Saúl
Physical Review Letters, Vol. 102, Issue 12
DOI: 10.1103/PhysRevLett.102.121602

Analysis of the parameter space and spectrum of the μνSSM
journal, December 2008

Escudero, Nicolás; López-Fogliani, Daniel E.; Muñoz, Carlos
Journal of High Energy Physics, Vol. 2008, Issue 12
DOI: 10.1088/1126-6708/2008/12/099

Natural little hierarchy for SUSY from radiative breaking of the Peccei-Quinn symmetry
journal, January 2015

Bae, Kyu Jung; Baer, Howard; Serce, Hasan
Physical Review D, Vol. 91, Issue 1
DOI: 10.1103/PhysRevD.91.015003

Is natural higgsino-only dark matter excluded?
journal, October 2018

Baer, Howard; Barger, Vernon; Sengupta, Dibyashree
The European Physical Journal C, Vol. 78, Issue 10
DOI: 10.1140/epjc/s10052-018-6306-y

Phenomenology and cosmology with superstrings
journal, February 1986

Lazarides, G.; Panagiotakopoulos, C.; Shafi, Q.
Physical Review Letters, Vol. 56, Issue 5
DOI: 10.1103/PhysRevLett.56.432

Supersymmetric Unification and r Symmetries
journal, December 2012

Chen, Mu-Chun; Fallbacher, Maximilian; Ratz, Michael
Modern Physics Letters A, Vol. 27, Issue 40
DOI: 10.1142/S0217732312300443

Review of Particle Physics
journal, August 2018

Tanabashi, M.; Hagiwara, K.; Hikasa, K.
Physical Review D, Vol. 98, Issue 3
DOI: 10.1103/PhysRevD.98.030001

Dark matter, $μ$ problem, and neutrino mass with gauged $R$ symmetry
journal, November 2010

Choi, Ki-Young; Chun, Eung Jin; Lee, Hyun Min
Physical Review D, Vol. 82, Issue 10
DOI: 10.1103/PhysRevD.82.105028

Discovering chiral Higgsinos at the CERN LHC
journal, April 2010

Arvanitaki, Asimina
Physical Review D, Vol. 81, Issue 7
DOI: 10.1103/PhysRevD.81.075008

Electroweak breaking and the $μ$ problem in supergravity models with an additional U(1)
journal, September 1997

Cvetič, M.; Demir, D. A.; Espinosa, J. R.
Physical Review D, Vol. 56, Issue 5
DOI: 10.1103/PhysRevD.56.2861

Many leptons at the LHC from the next-to-minimal supersymmetric standard model
journal, March 2011

Barger, Vernon; Shaughnessy, Gabe; Yencho, Brian
Physical Review D, Vol. 83, Issue 5
DOI: 10.1103/PhysRevD.83.055006

Weak Scale Supersymmetry
book, January 2006

Baer, Howard; Tata, Xerxes
DOI: 10.1017/CBO9780511617270

The soft supersymmetry-breaking Lagrangian: theory and applications
journal, February 2005

Chung, D.; Everett, L.; Kane, G.
Physics Reports, Vol. 407, Issue 1-3
DOI: 10.1016/j.physrep.2004.08.032

Revisiting fine-tuning in the MSSM
journal, March 2017

Ross, Graham G.; Schmidt-Hoberg, Kai; Staub, Florian
Journal of High Energy Physics, Vol. 2017, Issue 3
DOI: 10.1007/JHEP03(2017)021

Naturalness, weak scale supersymmetry, and the prospect for the observation of supersymmetry at the Fermilab Tevatron and at the CERN LHC
journal, September 1998

Chan, Kwok Lung; Chattopadhyay, Utpal; Nath, Pran
Physical Review D, Vol. 58, Issue 9
DOI: 10.1103/PhysRevD.58.096004

Discrete R symmetries and domain walls
journal, July 2010

Dine, Michael; Takahashi, Fuminobu; Yanagida, Tsutomu T.
Journal of High Energy Physics, Vol. 2010, Issue 7
DOI: 10.1007/JHEP07(2010)003

Addressing $μ - b_{μ}$ and proton lifetime problems and active neutrino masses in a $U (1)^{'}$ -extended supergravity model
journal, May 2009

Hundi, R. S.; Pakvasa, Sandip; Tata, Xerxes
Physical Review D, Vol. 79, Issue 9
DOI: 10.1103/PhysRevD.79.095011

Weak interaction breakdown induced by supergravity
journal, January 1983

Nilles, H. P.; Srednicki, M.; Wyler, D.
Physics Letters B, Vol. 120, Issue 4-6
DOI: 10.1016/0370-2693(83)90460-4

Nonstandard supersymmetry breaking and Dirac gaugino masses without supersoftness
journal, August 2015

Martin, Stephen P.
Physical Review D, Vol. 92, Issue 3
DOI: 10.1103/PhysRevD.92.035004

Radiative natural supersymmetry: Reconciling electroweak fine-tuning and the Higgs boson mass
journal, June 2013

Baer, Howard; Barger, Vernon; Huang, Peisi
Physical Review D, Vol. 87, Issue 11
DOI: 10.1103/PhysRevD.87.115028

The Next-To-Minimal Supersymmetric Extension of the Standard Model Reviewed
journal, July 2010

Maniatis, M.
International Journal of Modern Physics A, Vol. 25, Issue 18n19
DOI: 10.1142/S0217751X10049827

Supersymmetric origin of neutrino mass
journal, January 2004

Hirsch, M.; Valle, J. W. F.
New Journal of Physics, Vol. 6
DOI: 10.1088/1367-2630/6/1/076

Mainly axion cold dark matter from natural supersymmetry
journal, February 2014

Bae, Kyu Jung; Baer, Howard; Chun, Eung Jin
Physical Review D, Vol. 89, Issue 3
DOI: 10.1103/PhysRevD.89.031701

How conventional measures overestimate electroweak fine-tuning in supersymmetric theory
journal, November 2013

Baer, Howard; Barger, Vernon; Mickelson, Dan
Physical Review D, Vol. 88, Issue 9
DOI: 10.1103/PhysRevD.88.095013

Neutralino dark matter in mSUGRA/CMSSM with a 125 GeV light Higgs scalar
journal, May 2012

Baer, Howard; Barger, Vernon; Mustafayev, Azar
Journal of High Energy Physics, Vol. 2012, Issue 5
DOI: 10.1007/JHEP05(2012)091

Experimental constraints on the nearly minimal supersymmetric standard model and implications for its phenomenology
journal, May 2009

Cao, Junjie; Logan, Heather E.; Yang, Jin Min
Physical Review D, Vol. 79, Issue 9
DOI: 10.1103/PhysRevD.79.091701

Neutralino dark matter from heavy axino decay
journal, June 2008

Choi, Ki-Young; Kim, Jihn E.; Lee, Hyun Min
Physical Review D, Vol. 77, Issue 12
DOI: 10.1103/PhysRevD.77.123501

Gaugino condensation and the cosmological implications of the hidden sector
journal, July 1991

Kim, Jihn E.; Nilles, Hans Peter
Physics Letters B, Vol. 263, Issue 1
DOI: 10.1016/0370-2693(91)91710-D

Naturalness and superpartner masses or when to give up on weak scale supersymmetry
journal, August 1995

Anderson, Greg W.; Castaño, Diego J.
Physical Review D, Vol. 52, Issue 3
DOI: 10.1103/PhysRevD.52.1693

Mixed axion/neutralino cold dark matter in supersymmetric models
journal, June 2011

Baer, Howard; Lessa, Andre; Rajagopalan, Shibi
Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 06
DOI: 10.1088/1475-7516/2011/06/031

Supersymmetry and the scale of unification
journal, September 1981

Dimopoulos, S.; Raby, S.; Wilczek, Frank
Physical Review D, Vol. 24, Issue 6
DOI: 10.1103/PhysRevD.24.1681

Eternal extended inflation and graceful exit from old inflation without Jordan-Brans-Dicke
journal, October 1990

Linde, Andrei
Physics Letters B, Vol. 249, Issue 1
DOI: 10.1016/0370-2693(90)90521-7

Probing the desert using gauge coupling unification
journal, May 1991

Ellis, John; Kelley, S.; Nanopoulos, D. V.
Physics Letters B, Vol. 260, Issue 1-2
DOI: 10.1016/0370-2693(91)90980-5

The locally supersymmetric geometrical hierarchy model
journal, October 1983

Ovrut, Burt A.; Raby, Stuart
Physics Letters B, Vol. 130, Issue 5
DOI: 10.1016/0370-2693(83)91142-5

Aspects of Grand Unified Models with Softly Broken Supersymmetry
journal, September 1982

Inoue, K.; Kakuto, A.; Komatsu, H.
Progress of Theoretical Physics, Vol. 68, Issue 3
DOI: 10.1143/PTP.68.927

LHC phenomenology of the μνSSM
journal, May 2009

Bartl, A.; Hirsch, M.; Liebler, S.
Journal of High Energy Physics, Vol. 2009, Issue 05
DOI: 10.1088/1126-6708/2009/05/120

Leptogenesis scenarios for natural SUSY with mixed axion-higgsino dark matter
journal, January 2016

Bae, Kyu Jung; Baer, Howard; Serce, Hasan
Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 01
DOI: 10.1088/1475-7516/2016/01/012

Natural Higgs-Flavor-Democracy Solution of the $μ$ Problem of Supersymmetry and the QCD Axion
journal, July 2013

Kim, Jihn E.
Physical Review Letters, Vol. 111, Issue 3
DOI: 10.1103/PhysRevLett.111.031801

Precise prediction for M _W in the MSSM
journal, August 2006

Heinemeyer, Sven; Hollik, Wolfgang; Stöckinger, Dominik
Journal of High Energy Physics, Vol. 2006, Issue 08
DOI: 10.1088/1126-6708/2006/08/052

Small Yukawa couplings from type-I string theory and the inflationary solution to the strong CP and μ problems
journal, June 2005

Eyton-Williams, Oliver J.; King, Steve F.
Journal of High Energy Physics, Vol. 2005, Issue 06
DOI: 10.1088/1126-6708/2005/06/040

Generalized Supersoft Supersymmetry Breaking and a Solution to the $μ$ Problem
journal, May 2015

Nelson, Ann E.; Roy, Tuhin S.
Physical Review Letters, Vol. 114, Issue 20
DOI: 10.1103/PhysRevLett.114.201802

A natural solution to the μ-problem in supergravity theories
journal, May 1988

Giudice, G. F.; Masiero, A.
Physics Letters B, Vol. 206, Issue 3
DOI: 10.1016/0370-2693(88)91613-9

Stabilized NMSSM without domain walls
journal, January 1999

Panagiotakopoulos, C.; Tamvakis, K.
Physics Letters B, Vol. 446, Issue 3-4
DOI: 10.1016/S0370-2693(98)01493-2

NMHDECAY: A Fortran Code for the Higgs Masses, Couplings and Decay Widths in the NMSSM
journal, February 2005

Ellwanger, Ulrich; Gunion, John F.; Hugonie, Cyril
Journal of High Energy Physics, Vol. 2005, Issue 02
DOI: 10.1088/1126-6708/2005/02/066

Gravity safe, electroweak natural axionic solution to strong CP and SUSY μ problems
journal, March 2019

Baer, Howard; Barger, Vernon; Sengupta, Dibyashree
Physics Letters B, Vol. 790
DOI: 10.1016/j.physletb.2019.01.007

Search for Invisible Axion Dark Matter with the Axion Dark Matter Experiment
journal, April 2018

Du, N.; Force, N.; Khatiwada, R.
Physical Review Letters, Vol. 120, Issue 15
DOI: 10.1103/PhysRevLett.120.151301

Upper bounds on sparticle masses from naturalness or how to disprove weak scale supersymmetry
journal, February 2016

Baer, Howard; Barger, Vernon; Savoy, Michael
Physical Review D, Vol. 93, Issue 3
DOI: 10.1103/PhysRevD.93.035016

Cosmology of the DFSZ axino
journal, March 2012

Bae, Kyu Jung; Chun, Eung Jin; Im, Sang Hui
Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 03
DOI: 10.1088/1475-7516/2012/03/013

Natural SUSY endures
journal, September 2012

Papucci, Michele; Ruderman, Joshua T.; Weiler, Andreas
Journal of High Energy Physics, Vol. 2012, Issue 9
DOI: 10.1007/JHEP09(2012)035

Naturalness constraints in supersymmetric theories with non-universal soft terms
journal, September 1995

Dimopoulos, S.; Giudice, G. F.
Physics Letters B, Vol. 357, Issue 4
DOI: 10.1016/0370-2693(95)00961-J

Comparison of grand unified theories with electroweak and strong coupling constants measured at LEP
journal, May 1991

Amaldi, Ugo; de Boer, Wim; Fürstenau, Hermann
Physics Letters B, Vol. 260, Issue 3-4
DOI: 10.1016/0370-2693(91)91641-8

Tension between gauge coupling unification, the Higgs boson mass, and a gauge-breaking origin of the supersymmetric $μ$ -term
journal, July 2006

Morrissey, David E.; Wells, James D.
Physical Review D, Vol. 74, Issue 1
DOI: 10.1103/PhysRevD.74.015008

LHC luminosity and energy upgrades confront natural supersymmetry models
journal, October 2018

Baer, Howard; Barger, Vernon; Gainer, James S.
Physical Review D, Vol. 98, Issue 7
DOI: 10.1103/PhysRevD.98.075010

Destabilizing divergences in supergravity theories at two loops
journal, November 1995

Bagger, Jonathan; Poppitz, Erich; Randall, Lisa
Nuclear Physics B, Vol. 455, Issue 1-2
DOI: 10.1016/0550-3213(95)00463-3

Effective lagrangian description on discrete gauge symmetries
journal, August 1989

Banks, Thomas
Nuclear Physics B, Vol. 323, Issue 1
DOI: 10.1016/0550-3213(89)90589-0

Axionic dark energy and a composite QCD axion
journal, May 2009

Kim, Jihn E.; Nilles, Hans Peter
Journal of Cosmology and Astroparticle Physics, Vol. 2009, Issue 05
DOI: 10.1088/1475-7516/2009/05/010

Electroweak baryogenesis and dark matter in a minimal extension of the MSSM
journal, August 2004

Menon, A.; Morrissey, D. E.; Wagner, C. E. M.
Physical Review D, Vol. 70, Issue 3
DOI: 10.1103/PhysRevD.70.035005

Phenomenology of a New Supersymmetric Standard Model: The μνSSM
conference, January 2010

Muñoz, Carlos; Alverson, George; Nath, Pran
SUSY09: 7th International Conference on Supersymmetry and the Unification of Fundamental Interactions, AIP Conference Proceedings
DOI: 10.1063/1.3327603

SUSY, the Third Generation and the LHC
journal, March 2012

Brust, Christopher; Katz, Andrey; Lawrence, Scott
Journal of High Energy Physics, Vol. 2012, Issue 3
DOI: 10.1007/JHEP03(2012)103

Erratum: Electroweak breaking and the μ problem in supergravity models with an additional U(1) [Phys. Rev. D 56 , 2861 (1997)]
journal, October 1998

Cvetič, M.; Demir, D. A.; Espinosa, J. R.
Physical Review D, Vol. 58, Issue 11
DOI: 10.1103/PhysRevD.58.119905

Implications of supersymmetric models with natural $R$ -parity conservation
journal, August 1996

Martin, Stephen P.
Physical Review D, Vol. 54, Issue 3
DOI: 10.1103/PhysRevD.54.2340

Strong $CP$ problem versus Planck scale physics
journal, May 1997

Dobrescu, Bogdan A.
Physical Review D, Vol. 55, Issue 9
DOI: 10.1103/PhysRevD.55.5826

Dark energy from approximate <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mi mathvariant="normal">U</mml:mi><mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mi mathvariant="normal">de</mml:mi></mml:mrow></mml:msub></mml:math> symmetry
journal, March 2014

Kim, Jihn E.; Nilles, Hans Peter
Physics Letters B, Vol. 730
DOI: 10.1016/j.physletb.2014.01.031

Neutrino masses and mixing, lightest neutralino decays and a solution to the μ problem in supersymmetry
journal, April 2009

Ghosh, Pradipta; Roy, Sourov
Journal of High Energy Physics, Vol. 2009, Issue 04
DOI: 10.1088/1126-6708/2009/04/069

Supersymmetric Higgs and radiative electroweak breaking
journal, November 2007

Ibáñez, Luis E.; Ross, Graham G.
Comptes Rendus Physique, Vol. 8, Issue 9
DOI: 10.1016/j.crhy.2007.02.004

Wormhole-induced proton decay
journal, December 1989

Gilbert, Gerald
Nuclear Physics B, Vol. 328, Issue 1
DOI: 10.1016/0550-3213(89)90097-7

Physics at a Higgsino factory
journal, June 2014

Baer, Howard; Barger, Vernon; Mickelson, Dan
Journal of High Energy Physics, Vol. 2014, Issue 6
DOI: 10.1007/JHEP06(2014)172

Renormalization of Supersymmetry Breaking Parameters Revisited
journal, February 1984

Inoue, K.; Kakuto, A.; Komatsu, H.
Progress of Theoretical Physics, Vol. 71, Issue 2
DOI: 10.1143/PTP.71.413

Radiative corrections to the masses of supersymmetric Higgs bosons
journal, March 1991

Ellis, John; Ridolfi, Giovanni; Zwirner, Fabio
Physics Letters B, Vol. 257, Issue 1-2
DOI: 10.1016/0370-2693(91)90863-L

Model-independent analysis of soft terms in effective supergravity and in string theory
journal, June 1993

Kaplunovsky, Vadim S.; Louis, Jan
Physics Letters B, Vol. 306, Issue 3-4
DOI: 10.1016/0370-2693(93)90078-V

The μ-problem and the strong CP-problem
journal, April 1984

Kim, Jihn E.; Nilles, H. P.
Physics Letters B, Vol. 138, Issue 1-3
DOI: 10.1016/0370-2693(84)91890-2

Higgs scalars in the minimal nonminimal supersymmetric standard model
journal, January 2001

Panagiotakopoulos, C.; Pilaftsis, A.
Physical Review D, Vol. 63, Issue 5
DOI: 10.1103/PhysRevD.63.055003

Hidden SUSY at the LHC: the light higgsino-world scenario and the role of a lepton collider
journal, November 2011

Baer, Howard; Barger, Vernon; Huang, Peisi
Journal of High Energy Physics, Vol. 2011, Issue 11
DOI: 10.1007/JHEP11(2011)031

Perspectives on Higgs Physics II
book, November 1997

Kane, Gordon L.
Advanced Series on Directions in High Energy Physics
DOI: 10.1142/ASDHEP

Natural R-parity, μ-term, and fermion mass hierarchy from discrete gauge symmetries
journal, June 2003

Babu, K. S.; Gogoladze, Ilia; Wang, Kai
Nuclear Physics B, Vol. 660, Issue 1-2
DOI: 10.1016/S0550-3213(03)00258-X

Phenomenology of a new minimal supersymmetric extension of the standard model
journal, February 2001

Dedes, A.; Hugonie, C.; Moretti, S.
Physical Review D, Vol. 63, Issue 5
DOI: 10.1103/PhysRevD.63.055009

Destabilizing divergences in supergravity-coupled supersymmetric theories
journal, October 1993

Bagger, Jonathan; Poppitz, Erich
Physical Review Letters, Vol. 71, Issue 15
DOI: 10.1103/PhysRevLett.71.2380

Higgs sector in extensions of the minimal supersymmetric standard model
journal, June 2006

Barger, Vernon; Langacker, Paul; Lee, Hye-Sung
Physical Review D, Vol. 73, Issue 11
DOI: 10.1103/PhysRevD.73.115010

A next-to-minimal supersymmetric model of hybrid inflation
journal, March 1998

Bastero-Gil, M.; King, S. F.
Physics Letters B, Vol. 423, Issue 1-2
DOI: 10.1016/S0370-2693(98)00124-5

$SO (10)$ grand unification in five dimensions: Proton decay and the $μ$ problem
journal, January 2002

Dermíšek, Radovan; Mafi, Arash
Physical Review D, Vol. 65, Issue 5
DOI: 10.1103/PhysRevD.65.055002

Out of this world supersymmetry breaking
journal, September 1999

Randall, Lisa; Sundrum, Raman
Nuclear Physics B, Vol. 557, Issue 1-2
DOI: 10.1016/S0550-3213(99)00359-4

Supergravity gauge theories strike back: there is no crisis for SUSY but a new collider may be required for discovery
journal, April 2015

Baer, Howard; Barger, Vernon; Savoy, Mike
Physica Scripta, Vol. 90, Issue 6
DOI: 10.1088/0031-8949/90/6/068003

Quantum effects and SU(2)×U(1) breaking in supergravity gauge theories
journal, May 1984

Derendinger, J. -P.; Savoy, C. A.
Nuclear Physics B, Vol. 237, Issue 2
DOI: 10.1016/0550-3213(84)90162-7

Can the mass of the lightest Higgs boson of the minimal supersymmetric model be larger than $m_{Z}$ ?
journal, April 1991

Haber, Howard E.; Hempfling, Ralf
Physical Review Letters, Vol. 66, Issue 14
DOI: 10.1103/PhysRevLett.66.1815

New minimal extension of MSSM
journal, December 1999

Panagiotakopoulos, C.; Tamvakis, K.
Physics Letters B, Vol. 469, Issue 1-4
DOI: 10.1016/S0370-2693(99)01247-2

Cosmological implications of radiatively generated axion scale
journal, June 1997

Choi, Kiwoon; Chun, Eung Jin; Kim, Jihn E.
Physics Letters B, Vol. 403, Issue 3-4
DOI: 10.1016/S0370-2693(97)00465-6

Dynamics of the Peccei-Quinn scale
journal, December 2009

Carpenter, Linda M.; Dine, Michael; Festuccia, Guido
Physical Review D, Vol. 80, Issue 12
DOI: 10.1103/PhysRevD.80.125017

${Z - Z}^{'}$ mass hierarchy in a supersymmetric model with a secluded ${U (1)}^{'}$ -breaking sector
journal, July 2002

Erler, Jens; Langacker, Paul; Li, Tianjun
Physical Review D, Vol. 66, Issue 1
DOI: 10.1103/PhysRevD.66.015002

Phenomenology of the nMSSM from colliders to cosmology
journal, June 2007

Balázs, Csaba; Carena, Marcela; Freitas, Ayres
Journal of High Energy Physics, Vol. 2007, Issue 06
DOI: 10.1088/1126-6708/2007/06/066

On the cosmological domain wall problem for the minimally extended supersymmetric standard model
journal, November 1995

Abel, S. A.; Sarkar, S.; White, P. L.
Nuclear Physics B, Vol. 454, Issue 3
DOI: 10.1016/0550-3213(95)00483-9

Discrete gauge symmetries in axionic extensions of the supersymmetric standard model
journal, December 1992

Chun, E. J.; Lukas, A.
Physics Letters B, Vol. 297, Issue 3-4
DOI: 10.1016/0370-2693(92)91266-C

Evading the cosmological domain wall problem
journal, April 1997

Larsson, Sebastian E.; Sarkar, Subir; White, Peter L.
Physical Review D, Vol. 55, Issue 8
DOI: 10.1103/PhysRevD.55.5129

Neutrino physics and spontaneous CP violation in the μνSSM
journal, August 2009

Fidalgo, Javier; López-Fogliani, Daniel E.; Muñoz, Carlos
Journal of High Energy Physics, Vol. 2009, Issue 08
DOI: 10.1088/1126-6708/2009/08/105

Possible resolution of the domain wall problem in the NMSSM
journal, January 2016

Mazumdar, Anupam; Saikawa, Ken’ichi; Yamaguchi, Masahide
Physical Review D, Vol. 93, Issue 2
DOI: 10.1103/PhysRevD.93.025002

A natural SUSY Higgs near 125 GeV
journal, April 2012

Hall, Lawrence J.; Pinner, David; Ruderman, Joshua T.
Journal of High Energy Physics, Vol. 2012, Issue 4
DOI: 10.1007/JHEP04(2012)131

An M theory solution to the strong CP-problem, and constraints on the axiverse
journal, November 2010

Samir Acharya, Bobby; Bobkov, Konstantin; Kumar, Piyush
Journal of High Energy Physics, Vol. 2010, Issue 11
DOI: 10.1007/JHEP11(2010)105

Axions, Domain Walls, and the Early Universe
journal, April 1982

Sikivie, P.
Physical Review Letters, Vol. 48, Issue 17
DOI: 10.1103/PhysRevLett.48.1156

Dynamical breaking of supersymmetry
journal, October 1981

Witten, Edward
Nuclear Physics B, Vol. 188, Issue 3
DOI: 10.1016/0550-3213(81)90006-7

Higgs sector in a $U (1)^{'}$ extension of the minimal supersymmetric standard model
journal, December 2004

Han, Tao; Langacker, Paul; McElrath, Bob
Physical Review D, Vol. 70, Issue 11
DOI: 10.1103/PhysRevD.70.115006

Discrete R symmetries for the MSSM and its singlet extensions
journal, September 2011

Lee, Hyun Min; Raby, Stuart; Ratz, Michael
Nuclear Physics B, Vol. 850, Issue 1
DOI: 10.1016/j.nuclphysb.2011.04.009

Destabilising divergences in the NMSSM
journal, November 1996

Abel, S. A.
Nuclear Physics B, Vol. 480, Issue 1-2
DOI: 10.1016/S0550-3213(96)00470-1

Testing a $U (1)$ solution to the $μ$ problem
journal, September 2008

Cohen, Timothy; Pierce, Aaron
Physical Review D, Vol. 78, Issue 5
DOI: 10.1103/PhysRevD.78.055012

Inflationary solution to the strong CP and μ problems
journal, March 2005

Eyton-Williams, O. J.; King, S. F.
Physics Letters B, Vol. 610, Issue 1-2
DOI: 10.1016/j.physletb.2005.01.075

Analysis of the supersymmetry breaking induced by N = 1 supergravity theories
journal, June 1983

Soni, Sanjeev K.; Weldon, H. Arthur
Physics Letters B, Vol. 126, Issue 3-4
DOI: 10.1016/0370-2693(83)90593-2

Planck-scale physics and the Peccei-Quinn mechanism
journal, May 1992

Kamionkowski, Marc; March-Russell, John
Physics Letters B, Vol. 282, Issue 1-2
DOI: 10.1016/0370-2693(92)90492-M

Collider signals from slow decays in supersymmetric models with an intermediate-scale solution to the μ problem
journal, October 2000

Martin, Stephen P.
Physical Review D, Vol. 62, Issue 9
DOI: 10.1103/PhysRevD.62.095008

Gamma-ray detection from gravitino dark matter decay in the μνSSM
journal, March 2010

Choi, Ki-Young; López-Fogliani, Daniel E.; Muñoz, Carlos
Journal of Cosmology and Astroparticle Physics, Vol. 2010, Issue 03
DOI: 10.1088/1475-7516/2010/03/028

Implications of precision electroweak experiments for $m_{t}$ , $ρ_{0}$ , ${{sin}^{2} θ}_{W}$ , and grand unification
journal, August 1991

Langacker, Paul; Luo, Mingxing
Physical Review D, Vol. 44, Issue 3
DOI: 10.1103/PhysRevD.44.817

Implications of a 125 GeV Higgs for supersymmetric models
journal, February 2012

Arbey, A.; Battaglia, M.; Djouadi, A.
Physics Letters B, Vol. 708, Issue 1-2
DOI: 10.1016/j.physletb.2012.01.053

Minimal low-energy supergravity
journal, July 1983

Alvarez-Gaumé, Luis; Polchinski, J.; Wise, Mark B.
Nuclear Physics B, Vol. 221, Issue 2
DOI: 10.1016/0550-3213(83)90591-6

Symmetry Principles Toward Solutions of the μ Problem
journal, December 1994

Kim, Jihn E.; Nilles, Hans Peter
Modern Physics Letters A, Vol. 09, Issue 38
DOI: 10.1142/S0217732394003415

Neutralino signatures of the singlet extended MSSM
journal, January 2007

Barger, Vernon; Langacker, Paul; Shaughnessy, Gabe
Physics Letters B, Vol. 644, Issue 5-6
DOI: 10.1016/j.physletb.2006.11.043

Problems for (2, 0) compactifications
journal, August 1986

Ellis, John; Enqvist, K.; Nanopoulos, D. V.
Physics Letters B, Vol. 176, Issue 3-4
DOI: 10.1016/0370-2693(86)90185-1

Fermion masses and induction of the weak scale by supergravity
journal, July 1983

Frère, J. -M.; Jones, D. R. T.; Raby, S.
Nuclear Physics B, Vol. 222, Issue 1
DOI: 10.1016/0550-3213(83)90606-5

Anthropic Considerations in Multiple-Domain Theories and the Scale of Electroweak Symmetry Breaking
journal, March 1998

Agrawal, V.; Barr, S. M.; Donoghue, John F.
Physical Review Letters, Vol. 80, Issue 9
DOI: 10.1103/PhysRevLett.80.1822

Higgs and superparticle mass predictions from the landscape
journal, March 2018

Baer, Howard; Barger, Vernon; Serce, Hasan
Journal of High Energy Physics, Vol. 2018, Issue 3
DOI: 10.1007/JHEP03(2018)002

Compactified String Theories — Generic Predictions for Particle Physics
journal, May 2012

Acharya, Bobby Samir; Kane, Gordon; Kumar, Piyush
International Journal of Modern Physics A, Vol. 27, Issue 12
DOI: 10.1142/S0217751X12300128

Mixed axion/neutralino dark matter in the SUSY DFSZ axion model
journal, December 2013

Bae, Kyu Jung; Baer, Howard; Chun, Eung Jin
Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 12
DOI: 10.1088/1475-7516/2013/12/028

Radiative Natural Supersymmetry with a 125 GeV Higgs Boson
journal, October 2012

Baer, Howard; Barger, Vernon; Huang, Peisi
Physical Review Letters, Vol. 109, Issue 16
DOI: 10.1103/PhysRevLett.109.161802

SUSY models under siege: LHC constraints and electroweak fine-tuning
journal, June 2014

Baer, Howard; Barger, Vernon; Mickelson, Dan
Physical Review D, Vol. 89, Issue 11
DOI: 10.1103/PhysRevD.89.115019

Planck-scale corrections to axion models
journal, July 1992

Barr, S. M.; Seckel, D.
Physical Review D, Vol. 46, Issue 2
DOI: 10.1103/PhysRevD.46.539

A quintessential axion
journal, January 2003

Kim, Jihn E.; Nilles, Hans-Peter
Physics Letters B, Vol. 553, Issue 1-2
DOI: 10.1016/S0370-2693(02)03148-9

Implications of a 125 GeV Higgs scalar for the LHC supersymmetry and neutralino dark matter searches
journal, April 2012

Baer, Howard; Barger, Vernon; Mustafayev, Azar
Physical Review D, Vol. 85, Issue 7
DOI: 10.1103/PhysRevD.85.075010

A natural solution to the μ problem
journal, June 1993

Casas, J. A.; Muñoz, C.
Physics Letters B, Vol. 306, Issue 3-4
DOI: 10.1016/0370-2693(93)90081-R

Anomaly mediation in supergravity theories
journal, March 2000

Bagger, Jonathan A.; Moroi, Takeo; Poppitz, Erich
Journal of High Energy Physics, Vol. 2000, Issue 04
DOI: 10.1088/1126-6708/2000/04/009

Theories with gauge-mediated supersymmetry breaking
journal, December 1999

Giudice, G. F.; Rattazzi, R.
Physics Reports, Vol. 322, Issue 6
DOI: 10.1016/S0370-1573(99)00042-3

Approximate R-symmetries and the μ term
journal, April 2010

Brümmer, Felix; Kappl, Rolf; Ratz, Michael
Journal of High Energy Physics, Vol. 2010, Issue 4
DOI: 10.1007/JHEP04(2010)006

The $μ$ problem and $B$ and $L$ conservation with a discrete gauged $R$ symmetry
journal, June 1997

Choi, Kiwoon; Chun, Eung Jin; Kim, Hyungdo
Physical Review D, Vol. 55, Issue 11
DOI: 10.1103/PhysRevD.55.7010

Dimensionless supersymmetry breaking couplings, flat directions, and the origin of intermediate mass scales
journal, January 2000

Martin, Stephen P.
Physical Review D, Vol. 61, Issue 3
DOI: 10.1103/PhysRevD.61.035004

New origin for approximate symmetries from distant breaking in extra dimensions
journal, January 2002

Arkani-Hamed, Nima; Dimopoulos, Savas
Physical Review D, Vol. 65, Issue 5
DOI: 10.1103/PhysRevD.65.052003

Exponentially small supersymmetry breaking from extra dimensions
journal, February 2001

Arkani-Hamed, Nima; Hall, Lawrence; Smith, David
Physical Review D, Vol. 63, Issue 5
DOI: 10.1103/PhysRevD.63.056003

Discrete gauge symmetry in continuum theories
journal, March 1989

Krauss, Lawrence M.; Wilczek, Frank
Physical Review Letters, Vol. 62, Issue 11
DOI: 10.1103/PhysRevLett.62.1221

Gaugino mass without singlets
journal, December 1998

Giudice, Gian F.; Rattazzi, Riccardo; Luty, Markus A.
Journal of High Energy Physics, Vol. 1998, Issue 12
DOI: 10.1088/1126-6708/1998/12/027

String theory and the strong CP problem
journal, August 1986

Dine, Michael; Seiberg, Nathan
Nuclear Physics B, Vol. 273, Issue 1
DOI: 10.1016/0550-3213(86)90043-X

Dark matter production in the early Universe: Beyond the thermal WIMP paradigm
journal, February 2015

Baer, Howard; Choi, Ki-Young; Kim, Jihn E.
Physics Reports, Vol. 555
DOI: 10.1016/j.physrep.2014.10.002

The μ-problem, the NMSSM and string theory
journal, May 2010

Ramos-Sánchez, S.
Fortschritte der Physik, Vol. 58, Issue 7-9
DOI: 10.1002/prop.201000058

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Title: Revisiting the SUSY μ problem and its solutions in the LHC era

Abstract

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Higgs Boson theory and phenomenology journal, January 2003

Weak symmetry breaking by radiative corrections in broken supergravity journal, June 1983

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Axions in inflationary cosmology journal, April 1991

Upper bounds on supersymmetric particle masses journal, August 1988

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Locally supersymmetric SU(5) grand unification journal, December 1982

Theory and phenomenology of μ in M theory journal, May 2011

Supersymmetry, naturalness and light higgsinos journal, May 2014

Neutrino Majorana masses from string theory instanton effects journal, March 2007

SU(2)L × U(1) symmetry breaking as a radiative effect of supersymmetry breaking in GUTs journal, April 1982

Spontaneous discrete symmetry breaking during inflation and the NMSSM domain wall problem journal, October 1998

Gauge hierarchy in a supersymmetric model journal, February 1982

Towards a theory of soft terms for the supersymmetric standard model journal, July 1994

G 2 -MSSM: An M theory motivated model of particle physics journal, September 2008

A simple solution to the strong CP problem with a harmless axion journal, August 1981

Stabilizing the axion by discrete gauge symmetries journal, May 2003

Anomaly-free gauged R-symmetry in local supersymmetry journal, January 1996

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Large Hierarchies from Approximate R Symmetries journal, March 2009

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Electroweak breaking and the μ problem in supergravity models with an additional U(1) journal, September 1997

Many leptons at the LHC from the next-to-minimal supersymmetric standard model journal, March 2011

Weak Scale Supersymmetry book, January 2006

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Naturalness, weak scale supersymmetry, and the prospect for the observation of supersymmetry at the Fermilab Tevatron and at the CERN LHC journal, September 1998

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Mainly axion cold dark matter from natural supersymmetry journal, February 2014

How conventional measures overestimate electroweak fine-tuning in supersymmetric theory journal, November 2013

Neutralino dark matter in mSUGRA/CMSSM with a 125 GeV light Higgs scalar journal, May 2012

Experimental constraints on the nearly minimal supersymmetric standard model and implications for its phenomenology journal, May 2009

Neutralino dark matter from heavy axino decay journal, June 2008

Gaugino condensation and the cosmological implications of the hidden sector journal, July 1991

Naturalness and superpartner masses or when to give up on weak scale supersymmetry journal, August 1995

Mixed axion/neutralino cold dark matter in supersymmetric models journal, June 2011

Supersymmetry and the scale of unification journal, September 1981

Eternal extended inflation and graceful exit from old inflation without Jordan-Brans-Dicke journal, October 1990

Probing the desert using gauge coupling unification journal, May 1991

The locally supersymmetric geometrical hierarchy model journal, October 1983

Aspects of Grand Unified Models with Softly Broken Supersymmetry journal, September 1982

LHC phenomenology of the μνSSM journal, May 2009

Leptogenesis scenarios for natural SUSY with mixed axion-higgsino dark matter journal, January 2016

Natural Higgs-Flavor-Democracy Solution of the μ Problem of Supersymmetry and the QCD Axion journal, July 2013

Precise prediction for M W in the MSSM journal, August 2006

Small Yukawa couplings from type-I string theory and the inflationary solution to the strong CP and μ problems journal, June 2005

Generalized Supersoft Supersymmetry Breaking and a Solution to the μ Problem journal, May 2015

A natural solution to the μ-problem in supergravity theories journal, May 1988

Stabilized NMSSM without domain walls journal, January 1999

NMHDECAY: A Fortran Code for the Higgs Masses, Couplings and Decay Widths in the NMSSM journal, February 2005

Gravity safe, electroweak natural axionic solution to strong CP and SUSY μ problems journal, March 2019

Title: Revisiting the SUSY $μ$ problem and its solutions in the LHC era

Solutions to the strong-CP problem in a world with gravity
journal, May 1992

R symmetry and the μ problem
journal, July 2002

Peccei-Quinn symmetry from a gauged discrete $R$ symmetry
journal, October 2013

Upper Bound of the Lightest Higgs Boson Mass in the Minimal Supersymmetric Standard Model
journal, January 1991

Radiative breaking of Peccei-Quinn symmetry at the intermediate mass scale
journal, October 1992

Coupled Boltzmann computation of mixed axion neutralino dark matter in the SUSY DFSZ axion model
journal, October 2014

Prospects for axion detection in natural SUSY with mixed axion-higgsino dark matter: back to invisible?
journal, June 2017

Observables in Low-Energy Superstring Models
journal, April 1986

The Higgs mass and natural supersymmetric spectrum from the landscape
journal, July 2016

Gravity and global symmetries
journal, July 1995

Naturalness and light Higgsinos: why ILC is the right machine for SUSY discovery
conference, March 2018

Higgs Boson theory and phenomenology
journal, January 2003

Weak symmetry breaking by radiative corrections in broken supergravity
journal, June 1983

Gravity and the domain-wall problem
journal, March 1994

Discrete $R$ symmetries and low energy supersymmetry
journal, September 2010

The Next-to-Minimal Supersymmetric Standard Model
journal, November 2010

Axions in inflationary cosmology
journal, April 1991

Upper bounds on supersymmetric particle masses
journal, August 1988

LHC SUSY and WIMP dark matter searches confront the string theory landscape
journal, April 2019

Locally supersymmetric SU(5) grand unification
journal, December 1982

Theory and phenomenology of μ in M theory
journal, May 2011

Supersymmetry, naturalness and light higgsinos
journal, May 2014

Neutrino Majorana masses from string theory instanton effects
journal, March 2007

SU(2)L × U(1) symmetry breaking as a radiative effect of supersymmetry breaking in GUTs
journal, April 1982

Spontaneous discrete symmetry breaking during inflation and the NMSSM domain wall problem
journal, October 1998

Gauge hierarchy in a supersymmetric model
journal, February 1982

Towards a theory of soft terms for the supersymmetric standard model
journal, July 1994

$G_{2}$ -MSSM: An $M$ theory motivated model of particle physics
journal, September 2008

A simple solution to the strong CP problem with a harmless axion
journal, August 1981

Stabilizing the axion by discrete gauge symmetries
journal, May 2003

Anomaly-free gauged R-symmetry in local supersymmetry
journal, January 1996

Axion-induced topology change in quantum gravity and string theory
journal, September 1988

Large Hierarchies from Approximate $R$ Symmetries
journal, March 2009

Analysis of the parameter space and spectrum of the μνSSM
journal, December 2008

Natural little hierarchy for SUSY from radiative breaking of the Peccei-Quinn symmetry
journal, January 2015

Is natural higgsino-only dark matter excluded?
journal, October 2018

Phenomenology and cosmology with superstrings
journal, February 1986

Supersymmetric Unification and r Symmetries
journal, December 2012

Review of Particle Physics
journal, August 2018

Dark matter, $μ$ problem, and neutrino mass with gauged $R$ symmetry
journal, November 2010

Discovering chiral Higgsinos at the CERN LHC
journal, April 2010

Electroweak breaking and the $μ$ problem in supergravity models with an additional U(1)
journal, September 1997

Many leptons at the LHC from the next-to-minimal supersymmetric standard model
journal, March 2011

Weak Scale Supersymmetry
book, January 2006

The soft supersymmetry-breaking Lagrangian: theory and applications
journal, February 2005

Revisiting fine-tuning in the MSSM
journal, March 2017

Naturalness, weak scale supersymmetry, and the prospect for the observation of supersymmetry at the Fermilab Tevatron and at the CERN LHC
journal, September 1998

Discrete R symmetries and domain walls
journal, July 2010

Addressing $μ - b_{μ}$ and proton lifetime problems and active neutrino masses in a $U (1)^{'}$ -extended supergravity model
journal, May 2009

Weak interaction breakdown induced by supergravity
journal, January 1983

Nonstandard supersymmetry breaking and Dirac gaugino masses without supersoftness
journal, August 2015

Radiative natural supersymmetry: Reconciling electroweak fine-tuning and the Higgs boson mass
journal, June 2013

The Next-To-Minimal Supersymmetric Extension of the Standard Model Reviewed
journal, July 2010

Supersymmetric origin of neutrino mass
journal, January 2004

Mainly axion cold dark matter from natural supersymmetry
journal, February 2014

How conventional measures overestimate electroweak fine-tuning in supersymmetric theory
journal, November 2013

Neutralino dark matter in mSUGRA/CMSSM with a 125 GeV light Higgs scalar
journal, May 2012

Experimental constraints on the nearly minimal supersymmetric standard model and implications for its phenomenology
journal, May 2009

Neutralino dark matter from heavy axino decay
journal, June 2008

Gaugino condensation and the cosmological implications of the hidden sector
journal, July 1991

Naturalness and superpartner masses or when to give up on weak scale supersymmetry
journal, August 1995

Mixed axion/neutralino cold dark matter in supersymmetric models
journal, June 2011

Supersymmetry and the scale of unification
journal, September 1981

Eternal extended inflation and graceful exit from old inflation without Jordan-Brans-Dicke
journal, October 1990

Probing the desert using gauge coupling unification
journal, May 1991

The locally supersymmetric geometrical hierarchy model
journal, October 1983

Aspects of Grand Unified Models with Softly Broken Supersymmetry
journal, September 1982

LHC phenomenology of the μνSSM
journal, May 2009

Leptogenesis scenarios for natural SUSY with mixed axion-higgsino dark matter
journal, January 2016

Natural Higgs-Flavor-Democracy Solution of the $μ$ Problem of Supersymmetry and the QCD Axion
journal, July 2013

Precise prediction for M _W in the MSSM
journal, August 2006

Small Yukawa couplings from type-I string theory and the inflationary solution to the strong CP and μ problems
journal, June 2005

Generalized Supersoft Supersymmetry Breaking and a Solution to the $μ$ Problem
journal, May 2015

A natural solution to the μ-problem in supergravity theories
journal, May 1988

Stabilized NMSSM without domain walls
journal, January 1999

NMHDECAY: A Fortran Code for the Higgs Masses, Couplings and Decay Widths in the NMSSM
journal, February 2005

Gravity safe, electroweak natural axionic solution to strong CP and SUSY μ problems
journal, March 2019

Search for Invisible Axion Dark Matter with the Axion Dark Matter Experiment
journal, April 2018

Upper bounds on sparticle masses from naturalness or how to disprove weak scale supersymmetry
journal, February 2016