Higgs Parity grand unification

Hall, Lawrence J.; Harigaya, Keisuke

doi:10.1007/JHEP11(2019)033

Title: Higgs Parity grand unification

Abstract

© 2019, The Author(s). The vanishing of the Higgs quartic coupling of the Standard Model at high energies may be explained by spontaneous breaking of Higgs Parity. Taking Higgs Parity to originate from the Left-Right symmetry of the SO(10) gauge group, leads to a new scheme for precision gauge coupling unification that is consistent with proton decay. We compute the relevant running of couplings and threshold corrections to allow a precise correlation among Standard Model parameters. The scheme has a built-in solution for obtaining a realistic value for mb/mτ , which further improves the precision from gauge coupling unification, allowing the QCD coupling constant to be predicted to the level of 1% or, alternatively, the top quark mass to 0.2%. Future measurements of these parameters may significantly constrain the detailed structure of the theory. We also study an SO(10) embedding of quark and lepton masses, showing how large neutrino mixing is compatible with small quark mixing, and predict a normal neutrino mass hierarchy. The strong CP problem may be explained by combining Higgs Parity with space-time parity.

Authors:

Hall, Lawrence J. ^[1]; Harigaya, Keisuke ^[2]

Univ. of California, Berkeley, CA (United States). Dept. of Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Theoretical Physics Group,
Inst. for Advanced Study, Princeton, NJ (United States). School of Natural Sciences

Publication Date:: Wed Nov 06 00:00:00 EST 2019

Research Org.:: Institute for Advanced Study, Princeton, NJ (United States); Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

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

OSTI Identifier:: 1596655

Alternate Identifier(s):: OSTI ID: 1599814

Grant/Contract Number:: SC0009988; AC02-05CH11231; PHY-1316783; PHY-1521446

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 11; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Beyond Standard Model; GUT; Quark Masses and SM Parameters

Citation Formats


                    Hall, Lawrence J., and Harigaya, Keisuke. Higgs Parity grand unification.  United States: N. p., 2019. 
Web.  doi:10.1007/JHEP11(2019)033.

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                    Hall, Lawrence J., & Harigaya, Keisuke. Higgs Parity grand unification.  United States.  https://doi.org/10.1007/JHEP11(2019)033

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                    Hall, Lawrence J., and Harigaya, Keisuke. Wed .  
"Higgs Parity grand unification".  United States.  https://doi.org/10.1007/JHEP11(2019)033.  https://www.osti.gov/servlets/purl/1596655.

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@article{osti_1596655,

  title        = {Higgs Parity grand unification},

  author       = {Hall, Lawrence J. and Harigaya, Keisuke},

  abstractNote = {© 2019, The Author(s). The vanishing of the Higgs quartic coupling of the Standard Model at high energies may be explained by spontaneous breaking of Higgs Parity. Taking Higgs Parity to originate from the Left-Right symmetry of the SO(10) gauge group, leads to a new scheme for precision gauge coupling unification that is consistent with proton decay. We compute the relevant running of couplings and threshold corrections to allow a precise correlation among Standard Model parameters. The scheme has a built-in solution for obtaining a realistic value for mb/mτ , which further improves the precision from gauge coupling unification, allowing the QCD coupling constant to be predicted to the level of 1% or, alternatively, the top quark mass to 0.2%. Future measurements of these parameters may significantly constrain the detailed structure of the theory. We also study an SO(10) embedding of quark and lepton masses, showing how large neutrino mixing is compatible with small quark mixing, and predict a normal neutrino mass hierarchy. The strong CP problem may be explained by combining Higgs Parity with space-time parity.},

  doi          = {10.1007/JHEP11(2019)033},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 11,

  volume       = 2019,

  place        = {United States},

  year         = {Wed Nov 06 00:00:00 EST 2019},

  month        = {Wed Nov 06 00:00:00 EST 2019}

}

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Works referenced in this record:

Grand unification, axion, and inflation in Intermediate Scale Supersymmetry
journal, June 2014

Hall, Lawrence J.; Nomura, Yasunori; Shirai, Satoshi
Journal of High Energy Physics, Vol. 2014, Issue 6
DOI: 10.1007/JHEP06(2014)137

Implications of Higgs discovery for the strong CP problem and unification
journal, October 2018

Hall, Lawrence J.; Harigaya, Keisuke
Journal of High Energy Physics, Vol. 2018, Issue 10
DOI: 10.1007/JHEP10(2018)130

Unified interactions of leptons and hadrons
journal, September 1975

Fritzsch, Harald; Minkowski, Peter
Annals of Physics, Vol. 93, Issue 1-2
DOI: 10.1016/0003-4916(75)90211-0

Softly broken supersymmetry and SU(5)
journal, December 1981

Dimopoulos, Savas; Georgi, Howard
Nuclear Physics B, Vol. 193, Issue 1
DOI: 10.1016/0550-3213(81)90522-8

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

Renormalons
journal, August 1999

Beneke, M.
Physics Reports, Vol. 317, Issue 1-2
DOI: 10.1016/S0370-1573(98)00130-6

Unity of All Elementary-Particle Forces
journal, February 1974

Georgi, Howard; Glashow, S. L.
Physical Review Letters, Vol. 32, Issue 8
DOI: 10.1103/PhysRevLett.32.438

Strong $P$ and $T$ Noninvariances in a Superweak Theory
journal, July 1978

Bég, M. A. B.; Tsao, H. -S.
Physical Review Letters, Vol. 41, Issue 5
DOI: 10.1103/PhysRevLett.41.278

Superconducting domain walls
journal, September 1985

Lazarides, G.; Shafi, Q.
Physics Letters B, Vol. 159, Issue 4-6
DOI: 10.1016/0370-2693(85)90246-1

Review of Particle Physics
text, January 2018

Tanabashi, M.; Hagiwara, K.; Hikasa, K.
Deutsches Elektronen-Synchrotron, DESY, Hamburg
DOI: 10.3204/pubdb-2018-03100

Higgs Parity, strong CP and dark matter
journal, July 2019

Dunsky, David; Hall, Lawrence J.; Harigaya, Keisuke
Journal of High Energy Physics, Vol. 2019, Issue 7
DOI: 10.1007/JHEP07(2019)016

Investigating the near-criticality of the Higgs boson
journal, December 2013

Buttazzo, Dario; Degrassi, Giuseppe; Giardino, Pier Paolo
Journal of High Energy Physics, Vol. 2013, Issue 12
DOI: 10.1007/JHEP12(2013)089

Hierarchy of Interactions in Unified Gauge Theories
journal, August 1974

Georgi, H.; Quinn, H. R.; Weinberg, S.
Physical Review Letters, Vol. 33, Issue 7
DOI: 10.1103/PhysRevLett.33.451

Decoupling of Parity- and $SU {(2)}_{R}$ -Breaking Scales: A New Approach to Left-Right Symmetric Models
journal, March 1984

Chang, D.; Mohapatra, R. N.; Parida, M. K.
Physical Review Letters, Vol. 52, Issue 13
DOI: 10.1103/PhysRevLett.52.1072

Review of Particle Physics
text, January 2008

Group, Particle Data; Amsler, C.; Doser, M.
Elsevier
DOI: 10.5167/uzh-11249

Leptogenesis for pedestrians
journal, February 2005

Buchmüller, W.; Di Bari, P.; Plümacher, M.
Annals of Physics, Vol. 315, Issue 2
DOI: 10.1016/j.aop.2004.02.003

The weak scale from BBN
journal, December 2014

Hall, Lawrence J.; Pinner, David; Ruderman, Joshua T.
Journal of High Energy Physics, Vol. 2014, Issue 12
DOI: 10.1007/JHEP12(2014)134

Strong CP problem and parity
journal, November 1991

Barr, S. M.; Chang, Darwin; Senjanović, Goran
Physical Review Letters, Vol. 67, Issue 20
DOI: 10.1103/PhysRevLett.67.2765

Grand unification and intermediate scale supersymmetry
journal, February 2014

Hall, Lawrence J.; Nomura, Yasunori
Journal of High Energy Physics, Vol. 2014, Issue 2
DOI: 10.1007/JHEP02(2014)129

Strings in SO(10)
journal, June 1982

Kibble, T. W. B.; Lazarides, G.; Shafi, Q.
Physics Letters B, Vol. 113, Issue 3
DOI: 10.1016/0370-2693(82)90829-2

Naturalnes in supersymmetric GUTS
journal, June 1981

Sakai, N.
Zeitschrift für Physik C Particles and Fields, Vol. 11, Issue 2
DOI: 10.1007/BF01573998

Symmetry breaking in SO(10): Higgs-boson structure
journal, May 1985

Babu, K. S.; Ma, Ernest
Physical Review D, Vol. 31, Issue 9
DOI: 10.1103/PhysRevD.31.2316

The price of natural flavour conservation in neutral weak interactions
journal, October 1977

Chanowitz, Michael S.; Ellis, John; Gaillard, Mary K.
Nuclear Physics B, Vol. 128, Issue 3
DOI: 10.1016/0550-3213(77)90057-8

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

Low-energy predictions in supersymmetric grand unified theories
journal, October 1981

Ibáñez, L. E.; Ross, G. G.
Physics Letters B, Vol. 105, Issue 6
DOI: 10.1016/0370-2693(81)91200-4

The weak mixing angle and unification mass in supersymmetric SU(5)
journal, March 1982

Einhorn, M. B.; Jones, D. R. T.
Nuclear Physics B, Vol. 196, Issue 3
DOI: 10.1016/0550-3213(82)90502-8

Predictions of supersymmetric grand unified theories
journal, June 1982

Marciano, William J.; Senjanović, Goran
Physical Review D, Vol. 25, Issue 11
DOI: 10.1103/PhysRevD.25.3092

The State of the Art—Gauge Theories
conference, January 1975

Georgi, Howard
PARTICLES AND FIELDS — 1974: Proceedings of the Williamsburg Meeting of APS/DPF, AIP Conference Proceedings
DOI: 10.1063/1.2947450

Natural suppression of strong P and T non-invariance
journal, November 1978

Mohapatra, R. N.; Senjanović, G.
Physics Letters B, Vol. 79, Issue 3
DOI: 10.1016/0370-2693(78)90243-5

New approach to left-right-symmetry breaking in unified gauge theories
journal, September 1984

Chang, D.; Mohapatra, R. N.; Parida, M. K.
Physical Review D, Vol. 30, Issue 5
DOI: 10.1103/PhysRevD.30.1052

Solution to the Strong CP Problem: Supersymmetry with Parity
journal, May 1996

Kuchimanchi, Ravi
Physical Review Letters, Vol. 76, Issue 19
DOI: 10.1103/PhysRevLett.76.3486

Simple Supersymmetric Solution to the Strong CP Problem
journal, May 1996

Mohapatra, Rabindra N.; Rašin, Andrija
Physical Review Letters, Vol. 76, Issue 19
DOI: 10.1103/PhysRevLett.76.3490

Supersymmetric solution to $CP$ problems
journal, November 1996

Mohapatra, Rabindra N.; Rašin, Andrija
Physical Review D, Vol. 54, Issue 9
DOI: 10.1103/PhysRevD.54.5835

$C$ , $P$ , and Strong $CP$ in Left-Right Supersymmetric Models
journal, December 1997

Mohapatra, Rabindra N.; Rašin, Andrija; Senjanović, Goran
Physical Review Letters, Vol. 79, Issue 24
DOI: 10.1103/PhysRevLett.79.4744

Finding the strong CP problem at the LHC
journal, November 2016

D'Agnolo, Raffaele Tito; Hook, Anson
Physics Letters B, Vol. 762
DOI: 10.1016/j.physletb.2016.09.061

Strong CP and SUZ2
journal, December 2015

Albaid, Abdelhamid; Dine, Michael; Draper, Patrick
Journal of High Energy Physics, Vol. 2015, Issue 12
DOI: 10.1007/JHEP12(2015)046

Grand unified parity solution to the strong $C P$ problem
journal, June 2019

Mimura, Yukihiro; Mohapatra, Rabindra N.; Severson, Matt
Physical Review D, Vol. 99, Issue 11
DOI: 10.1103/PhysRevD.99.115025

Viable range of the mass scale of the standard model
journal, May 1998

Agrawal, V.; Barr, S. M.; Donoghue, John F.
Physical Review D, Vol. 57, Issue 9
DOI: 10.1103/PhysRevD.57.5480

Two-loop $β$ function for a $G_{1} \times G_{2}$ gauge theory
journal, January 1982

Jones, D. R. T.
Physical Review D, Vol. 25, Issue 2
DOI: 10.1103/PhysRevD.25.581

Barygenesis without grand unification
journal, June 1986

Fukugita, M.; Yanagida, T.
Physics Letters B, Vol. 174, Issue 1
DOI: 10.1016/0370-2693(86)91126-3

Towards a complete theory of thermal leptogenesis in the SM and MSSM
journal, May 2004

Giudice, G. F.; Notari, A.; Raidal, M.
Nuclear Physics B, Vol. 685, Issue 1-3
DOI: 10.1016/j.nuclphysb.2004.02.019

Dark matter and baryon asymmetry of the universe in large-cutoff supergravity
journal, July 2005

Ibe, M.; Moroi, Takeo; Yanagida, T.
Physics Letters B, Vol. 620, Issue 1-2
DOI: 10.1016/j.physletb.2005.05.062

Radiative Corrections as the Origin of Spontaneous Symmetry Breaking
journal, March 1973

Coleman, Sidney; Weinberg, Erick
Physical Review D, Vol. 7, Issue 6
DOI: 10.1103/PhysRevD.7.1888

Pole mass of the heavy quark: Perturbation theory and beyond
journal, August 1994

Bigi, I. I.; Shifman, M. A.; Uraltsev, N. G.
Physical Review D, Vol. 50, Issue 3
DOI: 10.1103/PhysRevD.50.2234

Heavy quark effective theory beyond perturbation theory: renormalons, the pole mass and the residual mass term
journal, September 1994

Beneke, M.; Braun, V. M.
Nuclear Physics B, Vol. 426, Issue 2
DOI: 10.1016/0550-3213(94)90314-X

Non-perturbative QCD effects and the top mass at the Tevatron
journal, July 2007

Skands, P.; Wicke, D.
The European Physical Journal C, Vol. 52, Issue 1
DOI: 10.1140/epjc/s10052-007-0352-1

Symmetry breaking of SO(10) and constraints on the Higgs potential: Adjoint {45} and spinorial {16} representations
journal, August 1981

Yasuè, Masaki
Physical Review D, Vol. 24, Issue 4
DOI: 10.1103/PhysRevD.24.1005

How to break SO(10) via SO(4) × SO(6) down to SU(2)L × SU(3)c × U(1)
journal, July 1981

Yasue, Masaki
Physics Letters B, Vol. 103, Issue 1
DOI: 10.1016/0370-2693(81)90188-X

Intermediate symmetries in theSO(10) model with $$16 \oplus \overline {16} \oplus 45$$ Higgses
journal, September 1983

Anastaze, G.; Derendinger, J. -P.; Buccella, F.
Zeitschrift für Physik C Particles and Fields, Vol. 20, Issue 3
DOI: 10.1007/BF01574861

The vacuum of the minimal nonsupersymmetric $S O (10)$ unification
journal, February 2010

Bertolini, Stefano; Di Luzio, Luca; Malinský, Michal
Physical Review D, Vol. 81, Issue 3
DOI: 10.1103/PhysRevD.81.035015

Review of Particle Physics
text, January 2012

Beringer, J.; Arguin, J.; Barnett, R.
Deutsches Elektronen-Synchrotron, DESY, Hamburg
DOI: 10.3204/phppubdb-24149

Investigating the near-criticality of the Higgs boson
text, January 2013

Buttazzo, Dario; Degrassi, Giuseppe; Giardino, Pier Paolo
arXiv
DOI: 10.48550/arxiv.1307.3536

Leptogenesis for Pedestrians
text, January 2004

Buchmuller, W.; Di Bari, P.; Plumacher, M.
arXiv
DOI: 10.48550/arxiv.hep-ph/0401240

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Title: Higgs Parity grand unification

Abstract

Citation Formats

Grand unification, axion, and inflation in Intermediate Scale Supersymmetry journal, June 2014

Implications of Higgs discovery for the strong CP problem and unification journal, October 2018

Unified interactions of leptons and hadrons journal, September 1975

Softly broken supersymmetry and SU(5) journal, December 1981

Review of Particle Physics journal, August 2018

Renormalons journal, August 1999

Unity of All Elementary-Particle Forces journal, February 1974

Strong P and T Noninvariances in a Superweak Theory journal, July 1978

Superconducting domain walls journal, September 1985

Review of Particle Physics text, January 2018

Higgs Parity, strong CP and dark matter journal, July 2019

Investigating the near-criticality of the Higgs boson journal, December 2013

Hierarchy of Interactions in Unified Gauge Theories journal, August 1974

Decoupling of Parity- and SU ( 2 ) R -Breaking Scales: A New Approach to Left-Right Symmetric Models journal, March 1984

Review of Particle Physics text, January 2008

Leptogenesis for pedestrians journal, February 2005

The weak scale from BBN journal, December 2014

Strong CP problem and parity journal, November 1991

Grand unification and intermediate scale supersymmetry journal, February 2014

Strings in SO(10) journal, June 1982

Naturalnes in supersymmetric GUTS journal, June 1981

Symmetry breaking in SO(10): Higgs-boson structure journal, May 1985

The price of natural flavour conservation in neutral weak interactions journal, October 1977

Supersymmetry and the scale of unification journal, September 1981

Low-energy predictions in supersymmetric grand unified theories journal, October 1981

The weak mixing angle and unification mass in supersymmetric SU(5) journal, March 1982

Predictions of supersymmetric grand unified theories journal, June 1982

The State of the Art—Gauge Theories conference, January 1975

Natural suppression of strong P and T non-invariance journal, November 1978

New approach to left-right-symmetry breaking in unified gauge theories journal, September 1984

Solution to the Strong CP Problem: Supersymmetry with Parity journal, May 1996

Simple Supersymmetric Solution to the Strong CP Problem journal, May 1996

Supersymmetric solution to CP problems journal, November 1996

C , P , and Strong CP in Left-Right Supersymmetric Models journal, December 1997

Finding the strong CP problem at the LHC journal, November 2016

Strong CP and SUZ2 journal, December 2015

Grand unified parity solution to the strong C P problem journal, June 2019

Viable range of the mass scale of the standard model journal, May 1998

Two-loop β function for a G 1 × G 2 gauge theory journal, January 1982

Barygenesis without grand unification journal, June 1986

Towards a complete theory of thermal leptogenesis in the SM and MSSM journal, May 2004

Dark matter and baryon asymmetry of the universe in large-cutoff supergravity journal, July 2005

Radiative Corrections as the Origin of Spontaneous Symmetry Breaking journal, March 1973

Pole mass of the heavy quark: Perturbation theory and beyond journal, August 1994

Heavy quark effective theory beyond perturbation theory: renormalons, the pole mass and the residual mass term journal, September 1994

Non-perturbative QCD effects and the top mass at the Tevatron journal, July 2007

Symmetry breaking of SO(10) and constraints on the Higgs potential: Adjoint {45} and spinorial {16} representations journal, August 1981

How to break SO(10) via SO(4) × SO(6) down to SU(2)L × SU(3)c × U(1) journal, July 1981

Intermediate symmetries in theSO(10) model with $$16 \oplus \overline {16} \oplus 45$$ Higgses journal, September 1983

The vacuum of the minimal nonsupersymmetric S O ( 10 ) unification journal, February 2010

Review of Particle Physics text, January 2012

Investigating the near-criticality of the Higgs boson text, January 2013

Leptogenesis for Pedestrians text, January 2004

Grand unification, axion, and inflation in Intermediate Scale Supersymmetry
journal, June 2014

Implications of Higgs discovery for the strong CP problem and unification
journal, October 2018

Unified interactions of leptons and hadrons
journal, September 1975

Softly broken supersymmetry and SU(5)
journal, December 1981

Review of Particle Physics
journal, August 2018

Renormalons
journal, August 1999

Unity of All Elementary-Particle Forces
journal, February 1974

Strong $P$ and $T$ Noninvariances in a Superweak Theory
journal, July 1978

Superconducting domain walls
journal, September 1985

Review of Particle Physics
text, January 2018

Higgs Parity, strong CP and dark matter
journal, July 2019

Investigating the near-criticality of the Higgs boson
journal, December 2013

Hierarchy of Interactions in Unified Gauge Theories
journal, August 1974

Decoupling of Parity- and $SU {(2)}_{R}$ -Breaking Scales: A New Approach to Left-Right Symmetric Models
journal, March 1984

Review of Particle Physics
text, January 2008

Leptogenesis for pedestrians
journal, February 2005

The weak scale from BBN
journal, December 2014

Strong CP problem and parity
journal, November 1991

Grand unification and intermediate scale supersymmetry
journal, February 2014

Strings in SO(10)
journal, June 1982

Naturalnes in supersymmetric GUTS
journal, June 1981

Symmetry breaking in SO(10): Higgs-boson structure
journal, May 1985

The price of natural flavour conservation in neutral weak interactions
journal, October 1977

Supersymmetry and the scale of unification
journal, September 1981

Low-energy predictions in supersymmetric grand unified theories
journal, October 1981

The weak mixing angle and unification mass in supersymmetric SU(5)
journal, March 1982

Predictions of supersymmetric grand unified theories
journal, June 1982

The State of the Art—Gauge Theories
conference, January 1975

Natural suppression of strong P and T non-invariance
journal, November 1978

New approach to left-right-symmetry breaking in unified gauge theories
journal, September 1984

Solution to the Strong CP Problem: Supersymmetry with Parity
journal, May 1996

Simple Supersymmetric Solution to the Strong CP Problem
journal, May 1996

Supersymmetric solution to $CP$ problems
journal, November 1996

$C$ , $P$ , and Strong $CP$ in Left-Right Supersymmetric Models
journal, December 1997

Finding the strong CP problem at the LHC
journal, November 2016

Strong CP and SUZ2
journal, December 2015

Grand unified parity solution to the strong $C P$ problem
journal, June 2019

Viable range of the mass scale of the standard model
journal, May 1998

Two-loop $β$ function for a $G_{1} \times G_{2}$ gauge theory
journal, January 1982

Barygenesis without grand unification
journal, June 1986

Towards a complete theory of thermal leptogenesis in the SM and MSSM
journal, May 2004

Dark matter and baryon asymmetry of the universe in large-cutoff supergravity
journal, July 2005

Radiative Corrections as the Origin of Spontaneous Symmetry Breaking
journal, March 1973

Pole mass of the heavy quark: Perturbation theory and beyond
journal, August 1994

Heavy quark effective theory beyond perturbation theory: renormalons, the pole mass and the residual mass term
journal, September 1994

Non-perturbative QCD effects and the top mass at the Tevatron
journal, July 2007

Symmetry breaking of SO(10) and constraints on the Higgs potential: Adjoint {45} and spinorial {16} representations
journal, August 1981

How to break SO(10) via SO(4) × SO(6) down to SU(2)L × SU(3)c × U(1)
journal, July 1981

Intermediate symmetries in theSO(10) model with $$16 \oplus \overline {16} \oplus 45$$ Higgses
journal, September 1983

The vacuum of the minimal nonsupersymmetric $S O (10)$ unification
journal, February 2010

Review of Particle Physics
text, January 2012

Investigating the near-criticality of the Higgs boson
text, January 2013

Leptogenesis for Pedestrians
text, January 2004