Solving the wrong hierarchy problem
Abstract
Many theories require augmenting the Standard Model with additional scalar fields with large order one couplings. We present a new solution to the hierarchy problem for these scalar fields. We explore parity and Z_{2}symmetric theories where the Standard Model Higgs potential has two vacua. The parity or Z_{2} copy of the Higgs lives in the minimum far from the origin while our Higgs occupies the minimum near the origin of the potential. This approach results in a theory with multiple light scalar fields but with only a single hierarchy problem, since the bare mass is tied to the Higgs mass by a discrete symmetry. The new scalar does not have a new hierarchy problem associated with it because its expectation value and mass are generated by dimensional transmutation of the scalar quartic coupling. The location of the second Higgs minimum is not a free parameter, but is rather a function of the matter content of the theory. As a result, these theories are extremely predictive. We develop this idea in the context of a solution to the strong CP problem. Lastly, we show this mechanism postdicts the top Yukawa to be within 1σ of the currently measured value and predictsmore »
 Authors:

 SLAC National Accelerator Lab., Menlo Park, CA (United States)
 Stanford Univ., Stanford, CA (United States)
 Publication Date:
 Research Org.:
 SLAC National Accelerator Lab., Menlo Park, CA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), High Energy Physics (HEP)
 OSTI Identifier:
 1253092
 Report Number(s):
 SLACPUB16518
Journal ID: ISSN 10298479; PII: 4247; TRN: US1601712
 Grant/Contract Number:
 AC0276SF00515
 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: 2016; Journal Issue: 6; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; PhenomenologyHEP; HEPPH; HEPTH; Beyond Standard Model; CP violation; technicolor and composite models
Citation Formats
Blinov, Nikita, and Hook, Anson. Solving the wrong hierarchy problem. United States: N. p., 2016.
Web. doi:10.1007/JHEP06(2016)176.
Blinov, Nikita, & Hook, Anson. Solving the wrong hierarchy problem. United States. https://doi.org/10.1007/JHEP06(2016)176
Blinov, Nikita, and Hook, Anson. Wed .
"Solving the wrong hierarchy problem". United States. https://doi.org/10.1007/JHEP06(2016)176. https://www.osti.gov/servlets/purl/1253092.
@article{osti_1253092,
title = {Solving the wrong hierarchy problem},
author = {Blinov, Nikita and Hook, Anson},
abstractNote = {Many theories require augmenting the Standard Model with additional scalar fields with large order one couplings. We present a new solution to the hierarchy problem for these scalar fields. We explore parity and Z2symmetric theories where the Standard Model Higgs potential has two vacua. The parity or Z2 copy of the Higgs lives in the minimum far from the origin while our Higgs occupies the minimum near the origin of the potential. This approach results in a theory with multiple light scalar fields but with only a single hierarchy problem, since the bare mass is tied to the Higgs mass by a discrete symmetry. The new scalar does not have a new hierarchy problem associated with it because its expectation value and mass are generated by dimensional transmutation of the scalar quartic coupling. The location of the second Higgs minimum is not a free parameter, but is rather a function of the matter content of the theory. As a result, these theories are extremely predictive. We develop this idea in the context of a solution to the strong CP problem. Lastly, we show this mechanism postdicts the top Yukawa to be within 1σ of the currently measured value and predicts scalar color octets with masses in the range 9200 TeV.},
doi = {10.1007/JHEP06(2016)176},
journal = {Journal of High Energy Physics (Online)},
number = 6,
volume = 2016,
place = {United States},
year = {2016},
month = {6}
}
Web of Science
Works referenced in this record:
The standard model effective potential at two loops
journal, November 1992
 Ford, C.; Jack, I.; Jones, D. R. T.
 Nuclear Physics B, Vol. 387, Issue 2
SARAH 4: A tool for (not only SUSY) model builders
journal, June 2014
 Staub, Florian
 Computer Physics Communications, Vol. 185, Issue 6
Infinite renormalization of the θterm and the Jarlskog invariant for CP violation
journal, February 1994
 Khriplovich, I. B.; Vainshtein, A. I.
 Nuclear Physics B, Vol. 414, Issue 12
PyR@TE
journal, March 2014
 Lyonnet, F.; Schienbein, I.; Staub, F.
 Computer Physics Communications, Vol. 185, Issue 3
Heavy coloroctet particles at the LHC
journal, May 2015
 Chen, ChienYi; Freitas, Ayres; Han, Tao
 Journal of High Energy Physics, Vol. 2015, Issue 5
Implication of the top (and Higgs) mass to the vacuum stability
conference, May 2016
 Espinosa, Jose
 Proceedings of 8th International Workshop on Top Quark Physics — PoS(TOP2015)
The effective potential, the renormalisation group and vacuum stability
journal, April 2007
 Einhorn, Martin B.; Jones, D. R. Timothy
 Journal of High Energy Physics, Vol. 2007, Issue 04
Twoloop renormalization group equations in a general quantum field theory
journal, January 1985
 Machacek, Marie E.; Vaughn, Michael T.
 Nuclear Physics B, Vol. 249, Issue 1
Higgsdependent Yukawa couplings
journal, July 2008
 Giudice, Gian F.; Lebedev, Oleg
 Physics Letters B, Vol. 665, Issue 23
Twoloop renormalization group equations in a general quantum field theory (II). Yukawa couplings
journal, April 1984
 Machacek, Marie E.; Vaughn, Michael T.
 Nuclear Physics B, Vol. 236, Issue 1
Cosmological Relaxation of the Electroweak Scale
journal, November 2015
 Graham, Peter W.; Kaplan, David E.; Rajendran, Surjeet
 Physical Review Letters, Vol. 115, Issue 22
Electric dipole moments of nucleons, nuclei, and atoms: The Standard Model and beyond
journal, July 2013
 Engel, Jonathan; RamseyMusolf, Michael J.; van Kolck, U.
 Progress in Particle and Nuclear Physics, Vol. 71
Twoloop renormalization group equations in a general quantum field theory
journal, July 1983
 Machacek, Marie E.; Vaughn, Michael T.
 Nuclear Physics B, Vol. 222, Issue 1
On stability of the electroweak vacuum and the Higgs portal
journal, July 2012
 Lebedev, Oleg
 The European Physical Journal C, Vol. 72, Issue 7
Higgs mass and vacuum stability in the Standard Model at NNLO
journal, August 2012
 Degrassi, Giuseppe; Di Vita, Stefano; EliasMiró, Joan
 Journal of High Energy Physics, Vol. 2012, Issue 8
Investigating the nearcriticality of the Higgs boson
journal, December 2013
 Buttazzo, Dario; Degrassi, Giuseppe; Giardino, Pier Paolo
 Journal of High Energy Physics, Vol. 2013, Issue 12
Stability of the Electroweak Vacuum: Gauge Independence and Advanced Precision
journal, November 2015
 Bednyakov, A. V.; Kniehl, B. A.; Pikelner, A. F.
 Physical Review Letters, Vol. 115, Issue 20
Agravity
journal, June 2014
 Salvio, Alberto; Strumia, Alessandro
 Journal of High Energy Physics, Vol. 2014, Issue 6
Leptogenesis as a common origin for matter and dark matter
journal, March 2010
 An, Haipeng; Chen, ShaoLong; Mohapatra, Rabindra N.
 Journal of High Energy Physics, Vol. 2010, Issue 3
Anomalous Solutions to the Strong $CP$ Problem
journal, April 2015
 Hook, Anson
 Physical Review Letters, Vol. 114, Issue 14
Mirror dark matter: Cosmology, galaxy structure and direct detection
journal, April 2014
 Foot, R.
 International Journal of Modern Physics A, Vol. 29, Issue 11n12
Strong CP and SUZ2
journal, December 2015
 Albaid, Abdelhamid; Dine, Michael; Draper, Patrick
 Journal of High Energy Physics, Vol. 2015, Issue 12
Challenges for the NelsonBarr mechanism
journal, August 2015
 Dine, Michael; Draper, Patrick
 Journal of High Energy Physics, Vol. 2015, Issue 8
Colored resonant signals at the LHC: largest rate and simplest topology
journal, December 2010
 Han, Tao; Lewis, Ian; Liu, Zhen
 Journal of High Energy Physics, Vol. 2010, Issue 12
Composite scalars at the LHC: the Higgs, the Sextet and the Octet
journal, November 2015
 Cacciapaglia, Giacomo; Cai, Haiying; Deandrea, Aldo
 Journal of High Energy Physics, Vol. 2015, Issue 11
Planckscale physics and the PecceiQuinn mechanism
journal, May 1992
 Kamionkowski, Marc; MarchRussell, John
 Physics Letters B, Vol. 282, Issue 12
Improved Experimental Limit on the Electric Dipole Moment of the Neutron
journal, September 2006
 Baker, C. A.; Doyle, D. D.; Geltenbort, P.
 Physical Review Letters, Vol. 97, Issue 13
Improved Limit on the Permanent Electric Dipole Moment of ${}^{199}\mathrm{Hg}$
journal, March 2009
 Griffith, W. C.; Swallows, M. D.; Loftus, T. H.
 Physical Review Letters, Vol. 102, Issue 10
Planckscale physics and neutrino masses
journal, November 1992
 Akhmedov, Eugeni Kh.; Berezhiani, Zurab G.; Senjanović, Goran
 Physical Review Letters, Vol. 69, Issue 21
Consistent Use of the Standard Model Effective Potential
journal, December 2014
 Andreassen, Anders; Frost, William; Schwartz, Matthew D.
 Physical Review Letters, Vol. 113, Issue 24
Vacuum stability, neutrinos, and dark matter
journal, April 2012
 Chen, ChianShu; Tang, Yong
 Journal of High Energy Physics, Vol. 2012, Issue 4
Stabilization of the electroweak vacuum by a scalar threshold effect
journal, June 2012
 EliasMiró, Joan; Espinosa, José R.; Giudice, Gian F.
 Journal of High Energy Physics, Vol. 2012, Issue 6
Renormalization group improvement of the effective potential in massive ø4 theory
journal, June 1992
 Kastening, Boris
 Physics Letters B, Vol. 283, Issue 34
Improving the effective potential
journal, February 1993
 Bando, Masako; Kugo, Taichiro; Maekawa, Nobuhiro
 Physics Letters B, Vol. 301, Issue 1
Improved Higgs mass stability bound in the standard model and implications for supersymmetry
journal, January 1995
 Casas, J. A.; Espinosa, J. R.; Quirós, M.
 Physics Letters B, Vol. 342, Issue 14
Twoloop effective potential for a general renormalizable theory and softly broken supersymmetry
journal, May 2002
 Martin, Stephen P.
 Physical Review D, Vol. 65, Issue 11
Twoloop renormalization group equations in general gauge field theories
journal, March 2003
 Luo, Mingxing; Wang, Huawen; Xiao, Yong
 Physical Review D, Vol. 67, Issue 6
Baryon washout, electroweak phase transition, and perturbation theory
journal, July 2011
 Patel, Hiren H.; RamseyMusolf, Michael J.
 Journal of High Energy Physics, Vol. 2011, Issue 7
Relation between the fermion pole mass and MS¯ Yukawa coupling in the standard model
journal, February 1995
 Hempfling, Ralf; Kniehl, Bernd A.
 Physical Review D, Vol. 51, Issue 3
The fourloop βfunction in quantum chromodynamics
journal, May 1997
 van Ritbergen, T.; Vermaseren, J. A. M.; Larin, S. A.
 Physics Letters B, Vol. 400, Issue 34
Lightfront holography and superconformal quantum mechanics: A new approach to hadron structure and color confinement
journal, January 2015
 Brodsky, Stanley J.; Deur, Alexandre; de Téramond, Guy F.
 International Journal of Modern Physics: Conference Series, Vol. 39
Natural fermion mass hierarchy and new signals for the Higgs boson
journal, July 2000
 Babu, K. S.; Nandi, S.
 Physical Review D, Vol. 62, Issue 3
Precise measurement of the ${e}^{\mathbf{+}}{e}^{\mathbf{}}\to {\pi}^{\mathbf{+}}{\pi}^{\mathbf{}}\mathbf{(}\gamma \mathbf{)}$ cross section with the initialstate radiation method at BABAR
journal, August 2012
 Lees, J. P.; Poireau, V.; Tisserand, V.
 Physical Review D, Vol. 86, Issue 3
Stability, Higgs Boson Mass, and New Physics
journal, December 2013
 Branchina, Vincenzo; Messina, Emanuele
 Physical Review Letters, Vol. 111, Issue 24
Review of Particle Physics
text, January 2018
 Tanabashi, M.; Hagiwara, K.; Hikasa, K.
 Deutsches ElektronenSynchrotron, DESY, Hamburg
Electric dipole moments of nucleons, nuclei, and atoms: The Standard Model and beyond
text, January 2013
 Michael, RamseyMusolf,; U., van Kolck,; Jonathan, Engel,
 The University of North Carolina at Chapel Hill University Libraries
Review of Particle Physics
text, January 2012
 Beringer, J.; Arguin, J.; Barnett, R.
 Deutsches ElektronenSynchrotron, DESY, Hamburg
Baryon Washout, Electroweak Phase Transition, and Perturbation Theory
text, January 2011
 Patel, Hiren H.; RamseyMusolf, Michael J.
 arXiv
Investigating the nearcriticality of the Higgs boson
text, January 2013
 Buttazzo, Dario; Degrassi, Giuseppe; Giardino, Pier Paolo
 arXiv
Cosmological Relaxation of the Electroweak Scale
text, January 2015
 Graham, Peter W.; Kaplan, David E.; Rajendran, Surjeet
 arXiv
Composite scalars at the LHC: the Higgs, the Sextet and the Octet
text, January 2015
 Cacciapaglia, Giacomo; Cai, Haiying; Deandrea, Aldo
 arXiv
An Improved Experimental Limit on the Electric Dipole Moment of the Neutron
text, January 2006
 Baker, C. A.; Doyle, D. D.; Geltenbort, P.
 arXiv
Twoloop effective potential for a general renormalizable theory and softly broken supersymmetry
text, January 2001
 Martin, Stephen P.
 arXiv
Twoloop Renormalization Group Equations in General Gauge Field Theories
text, January 2002
 Luo, Mingxing; Wang, Huawen; Xiao, Yong
 arXiv
The Effective Potential, the Renormalisation Group and Vacuum Stability
text, January 2007
 Einhorn, Martin B.; Jones, D. R. Timothy
 arXiv
Improved Higgs Mass Stability Bound in the Standard Model and Implications for Supersymmetry
text, January 1994
 Casas, J. A.; Espinosa, J. R.; Quiros, M.
 arXiv
PlanckScale Physics and the PecceiQuinn Mechanism
text, January 1992
 Kamionkowski, Marc; MarchRussell, John
 arXiv
Works referencing / citing this record:
Thermal Relic Dark Matter Beyond the Unitarity Limit
text, January 2016
 Harigaya, Keisuke; Ibe, Masahiro; Kaneta, Kunio
 arXiv