Solving the wrong hierarchy problem

Blinov, Nikita; Hook, Anson

doi:10.1007/JHEP06(2016)176

Title: Solving the wrong hierarchy problem

Journal Article · 29 June 2016 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/JHEP06(2016)176 · OSTI ID:1253092

Blinov, Nikita ^[1]; Hook, Anson ^[2]

SLAC National Accelerator Lab., Menlo Park, CA (United States)
Stanford Univ., Stanford, CA (United States)

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 Z₂-symmetric 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 9-200 TeV.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

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

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 1253092

Report Number(s):: SLAC-PUB-16518; PII: 4247; TRN: US1601712

Journal Information:: Journal of High Energy Physics (Online), Vol. 2016, Issue 6; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

References (61)

The standard model effective potential at two loops Ford, C.; Jack, I.; Jones, D. R. T. Nuclear Physics B, Vol. 387, Issue 2 https://doi.org/10.1016/0550-3213(92)90165-8	journal	November 1992
SARAH 4: A tool for (not only SUSY) model builders Staub, Florian Computer Physics Communications, Vol. 185, Issue 6 https://doi.org/10.1016/j.cpc.2014.02.018	journal	June 2014
Infinite renormalization of the θ-term and the Jarlskog invariant for CP violation Khriplovich, I. B.; Vainshtein, A. I. Nuclear Physics B, Vol. 414, Issue 1-2 https://doi.org/10.1016/0550-3213(94)90419-7	journal	February 1994
Renormalization group improvement of the effective potential in massive ø4 theory Kastening, Boris Physics Letters B, Vol. 283, Issue 3-4 https://doi.org/10.1016/0370-2693(92)90021-u	journal	June 1992
PyR@TE Lyonnet, F.; Schienbein, I.; Staub, F. Computer Physics Communications, Vol. 185, Issue 3 https://doi.org/10.1016/j.cpc.2013.12.002	journal	March 2014
Review of Particle Physics Olive, K. A. Chinese Physics C, Vol. 38, Issue 9 https://doi.org/10.1088/1674-1137/38/9/090001	journal	August 2014
Heavy color-octet particles at the LHC Chen, Chien-Yi; Freitas, Ayres; Han, Tao Journal of High Energy Physics, Vol. 2015, Issue 5 https://doi.org/10.1007/jhep05(2015)135	journal	May 2015
Implication of the top (and Higgs) mass to the vacuum stability Espinosa, Jose Proceedings of 8th International Workshop on Top Quark Physics — PoS(TOP2015) https://doi.org/10.22323/1.257.0043	conference	May 2016
The effective potential, the renormalisation group and vacuum stability Einhorn, Martin B.; Jones, D. R. Timothy Journal of High Energy Physics, Vol. 2007, Issue 04 https://doi.org/10.1088/1126-6708/2007/04/051	journal	April 2007
Two-loop renormalization group equations in a general quantum field theory Machacek, Marie E.; Vaughn, Michael T. Nuclear Physics B, Vol. 249, Issue 1 https://doi.org/10.1016/0550-3213(85)90040-9	journal	January 1985
Higgs-dependent Yukawa couplings Giudice, Gian F.; Lebedev, Oleg Physics Letters B, Vol. 665, Issue 2-3 https://doi.org/10.1016/j.physletb.2008.05.062	journal	July 2008
Two-loop renormalization group equations in a general quantum field theory (II). Yukawa couplings Machacek, Marie E.; Vaughn, Michael T. Nuclear Physics B, Vol. 236, Issue 1 https://doi.org/10.1016/0550-3213(84)90533-9	journal	April 1984
Electric dipole moments of nucleons, nuclei, and atoms: The Standard Model and beyond Engel, Jonathan; Ramsey-Musolf, Michael J.; van Kolck, U. Progress in Particle and Nuclear Physics, Vol. 71 https://doi.org/10.1016/j.ppnp.2013.03.003	journal	July 2013
Two-loop renormalization group equations in a general quantum field theory Machacek, Marie E.; Vaughn, Michael T. Nuclear Physics B, Vol. 222, Issue 1 https://doi.org/10.1016/0550-3213(83)90610-7	journal	July 1983
On stability of the electroweak vacuum and the Higgs portal Lebedev, Oleg The European Physical Journal C, Vol. 72, Issue 7 https://doi.org/10.1140/epjc/s10052-012-2058-2	journal	July 2012
Cosmological Relaxation of the Electroweak Scale Graham, Peter W.; Kaplan, David E.; Rajendran, Surjeet Physical Review Letters, Vol. 115, Issue 22 https://doi.org/10.1103/PhysRevLett.115.221801	journal	November 2015
Higgs mass and vacuum stability in the Standard Model at NNLO Degrassi, Giuseppe; Di Vita, Stefano; Elias-Miró, Joan Journal of High Energy Physics, Vol. 2012, Issue 8 https://doi.org/10.1007/JHEP08(2012)098	journal	August 2012
Investigating the near-criticality of the Higgs boson Buttazzo, Dario; Degrassi, Giuseppe; Giardino, Pier Paolo Journal of High Energy Physics, Vol. 2013, Issue 12 https://doi.org/10.1007/JHEP12(2013)089	journal	December 2013
Stability of the Electroweak Vacuum: Gauge Independence and Advanced Precision Bednyakov, A. V.; Kniehl, B. A.; Pikelner, A. F. Physical Review Letters, Vol. 115, Issue 20 https://doi.org/10.1103/PhysRevLett.115.201802	journal	November 2015
Agravity Salvio, Alberto; Strumia, Alessandro Journal of High Energy Physics, Vol. 2014, Issue 6 https://doi.org/10.1007/JHEP06(2014)080	journal	June 2014
Leptogenesis as a common origin for matter and dark matter An, Haipeng; Chen, Shao-Long; Mohapatra, Rabindra N. Journal of High Energy Physics, Vol. 2010, Issue 3 https://doi.org/10.1007/JHEP03(2010)124	journal	March 2010
Anomalous Solutions to the Strong C P Problem Hook, Anson Physical Review Letters, Vol. 114, Issue 14 https://doi.org/10.1103/PhysRevLett.114.141801	journal	April 2015
Mirror dark matter: Cosmology, galaxy structure and direct detection Foot, R. International Journal of Modern Physics A, Vol. 29, Issue 11n12 https://doi.org/10.1142/S0217751X14300130	journal	April 2014
Strong CP and SUZ2 Albaid, Abdelhamid; Dine, Michael; Draper, Patrick Journal of High Energy Physics, Vol. 2015, Issue 12 https://doi.org/10.1007/JHEP12(2015)046	journal	December 2015
Challenges for the Nelson-Barr mechanism Dine, Michael; Draper, Patrick Journal of High Energy Physics, Vol. 2015, Issue 8 https://doi.org/10.1007/JHEP08(2015)132	journal	August 2015
Colored resonant signals at the LHC: largest rate and simplest topology Han, Tao; Lewis, Ian; Liu, Zhen Journal of High Energy Physics, Vol. 2010, Issue 12 https://doi.org/10.1007/JHEP12(2010)085	journal	December 2010
Composite scalars at the LHC: the Higgs, the Sextet and the Octet Cacciapaglia, Giacomo; Cai, Haiying; Deandrea, Aldo Journal of High Energy Physics, Vol. 2015, Issue 11 https://doi.org/10.1007/JHEP11(2015)201	journal	November 2015
Planck-scale physics and the Peccei-Quinn mechanism Kamionkowski, Marc; March-Russell, John Physics Letters B, Vol. 282, Issue 1-2 https://doi.org/10.1016/0370-2693(92)90492-M	journal	May 1992
Improved Experimental Limit on the Electric Dipole Moment of the Neutron Baker, C. A.; Doyle, D. D.; Geltenbort, P. Physical Review Letters, Vol. 97, Issue 13 https://doi.org/10.1103/PhysRevLett.97.131801	journal	September 2006
Improved Limit on the Permanent Electric Dipole Moment of Hg 199 Griffith, W. C.; Swallows, M. D.; Loftus, T. H. Physical Review Letters, Vol. 102, Issue 10 https://doi.org/10.1103/PhysRevLett.102.101601	journal	March 2009
Planck-scale physics and neutrino masses Akhmedov, Eugeni Kh.; Berezhiani, Zurab G.; Senjanović, Goran Physical Review Letters, Vol. 69, Issue 21 https://doi.org/10.1103/PhysRevLett.69.3013	journal	November 1992
Consistent Use of the Standard Model Effective Potential Andreassen, Anders; Frost, William; Schwartz, Matthew D. Physical Review Letters, Vol. 113, Issue 24 https://doi.org/10.1103/PhysRevLett.113.241801	journal	December 2014
Vacuum stability, neutrinos, and dark matter Chen, Chian-Shu; Tang, Yong Journal of High Energy Physics, Vol. 2012, Issue 4 https://doi.org/10.1007/JHEP04(2012)019	journal	April 2012
Stabilization of the electroweak vacuum by a scalar threshold effect Elias-Miró, Joan; Espinosa, José R.; Giudice, Gian F. Journal of High Energy Physics, Vol. 2012, Issue 6 https://doi.org/10.1007/JHEP06(2012)031	journal	June 2012
Improving the effective potential Bando, Masako; Kugo, Taichiro; Maekawa, Nobuhiro Physics Letters B, Vol. 301, Issue 1 https://doi.org/10.1016/0370-2693(93)90725-W	journal	February 1993
Improved Higgs mass stability bound in the standard model and implications for supersymmetry Casas, J. A.; Espinosa, J. R.; Quirós, M. Physics Letters B, Vol. 342, Issue 1-4 https://doi.org/10.1016/0370-2693(94)01404-Z	journal	January 1995
Two-loop effective potential for a general renormalizable theory and softly broken supersymmetry Martin, Stephen P. Physical Review D, Vol. 65, Issue 11 https://doi.org/10.1103/PhysRevD.65.116003	journal	May 2002
Two-loop renormalization group equations in general gauge field theories Luo, Mingxing; Wang, Huawen; Xiao, Yong Physical Review D, Vol. 67, Issue 6 https://doi.org/10.1103/PhysRevD.67.065019	journal	March 2003
Baryon washout, electroweak phase transition, and perturbation theory Patel, Hiren H.; Ramsey-Musolf, Michael J. Journal of High Energy Physics, Vol. 2011, Issue 7 https://doi.org/10.1007/JHEP07(2011)029	journal	July 2011
Relation between the fermion pole mass and MS¯ Yukawa coupling in the standard model Hempfling, Ralf; Kniehl, Bernd A. Physical Review D, Vol. 51, Issue 3 https://doi.org/10.1103/PhysRevD.51.1386	journal	February 1995
The four-loop β-function in quantum chromodynamics van Ritbergen, T.; Vermaseren, J. A. M.; Larin, S. A. Physics Letters B, Vol. 400, Issue 3-4 https://doi.org/10.1016/S0370-2693(97)00370-5	journal	May 1997
Light-front holography and superconformal quantum mechanics: A new approach to hadron structure and color confinement Brodsky, Stanley J.; Deur, Alexandre; de Téramond, Guy F. International Journal of Modern Physics: Conference Series, Vol. 39 https://doi.org/10.1142/S2010194515600812	journal	January 2015
Natural fermion mass hierarchy and new signals for the Higgs boson Babu, K. S.; Nandi, S. Physical Review D, Vol. 62, Issue 3 https://doi.org/10.1103/PhysRevD.62.033002	journal	July 2000
Precise measurement of the e + e − → π + π − ( γ ) cross section with the initial-state radiation method at BABAR Lees, J. P.; Poireau, V.; Tisserand, V. Physical Review D, Vol. 86, Issue 3 https://doi.org/10.1103/PhysRevD.86.032013	journal	August 2012
Stability, Higgs Boson Mass, and New Physics Branchina, Vincenzo; Messina, Emanuele Physical Review Letters, Vol. 111, Issue 24 https://doi.org/10.1103/PhysRevLett.111.241801	journal	December 2013
Review of Particle Physics Group, Particle Data; Amsler, C.; Doser, M. Elsevier https://doi.org/10.5167/uzh-11249	text	January 2008
Review of Particle Physics Tanabashi, M.; Hagiwara, K.; Hikasa, K. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2018-03100	text	January 2018
Electric dipole moments of nucleons, nuclei, and atoms: The Standard Model and beyond Michael, Ramsey-Musolf,; U., van Kolck,; Jonathan, Engel, The University of North Carolina at Chapel Hill University Libraries https://doi.org/10.17615/qw9y-jh78	text	January 2013
Review of Particle Physics Beringer, J.; Arguin, J.; Barnett, R. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/phppubdb-24149	text	January 2012
Baryon Washout, Electroweak Phase Transition, and Perturbation Theory Patel, Hiren H.; Ramsey-Musolf, Michael J. arXiv https://doi.org/10.48550/arxiv.1101.4665	text	January 2011
On Stability of the Electroweak Vacuum and the Higgs Portal Lebedev, Oleg arXiv https://doi.org/10.48550/arxiv.1203.0156	text	January 2012
Investigating the near-criticality of the Higgs boson Buttazzo, Dario; Degrassi, Giuseppe; Giardino, Pier Paolo arXiv https://doi.org/10.48550/arxiv.1307.3536	text	January 2013
Anomalous solutions to the strong CP problem Hook, Anson arXiv https://doi.org/10.48550/arxiv.1411.3325	text	January 2014
Cosmological Relaxation of the Electroweak Scale Graham, Peter W.; Kaplan, David E.; Rajendran, Surjeet arXiv https://doi.org/10.48550/arxiv.1504.07551	text	January 2015
Composite scalars at the LHC: the Higgs, the Sextet and the Octet Cacciapaglia, Giacomo; Cai, Haiying; Deandrea, Aldo arXiv https://doi.org/10.48550/arxiv.1507.02283	text	January 2015
An Improved Experimental Limit on the Electric Dipole Moment of the Neutron Baker, C. A.; Doyle, D. D.; Geltenbort, P. arXiv https://doi.org/10.48550/arxiv.hep-ex/0602020	text	January 2006
Two-loop effective potential for a general renormalizable theory and softly broken supersymmetry Martin, Stephen P. arXiv https://doi.org/10.48550/arxiv.hep-ph/0111209	text	January 2001
Two-loop Renormalization Group Equations in General Gauge Field Theories Luo, Mingxing; Wang, Huawen; Xiao, Yong arXiv https://doi.org/10.48550/arxiv.hep-ph/0211440	text	January 2002
The Effective Potential, the Renormalisation Group and Vacuum Stability Einhorn, Martin B.; Jones, D. R. Timothy arXiv https://doi.org/10.48550/arxiv.hep-ph/0702295	text	January 2007
Improved Higgs Mass Stability Bound in the Standard Model and Implications for Supersymmetry Casas, J. A.; Espinosa, J. R.; Quiros, M. arXiv https://doi.org/10.48550/arxiv.hep-ph/9409458	text	January 1994
Planck-Scale Physics and the Peccei-Quinn Mechanism Kamionkowski, Marc; March-Russell, John arXiv https://doi.org/10.48550/arxiv.hep-th/9202003	text	January 1992

Cited By (1)

Thermal Relic Dark Matter Beyond the Unitarity Limit Harigaya, Keisuke; Ibe, Masahiro; Kaneta, Kunio arXiv https://doi.org/10.48550/arxiv.1606.00159	text	January 2016

Similar Records

Natural Little Hierarchy from Partially Goldstone Twin Higgs

Journal Article · 2005 · Journal of High Energy Physics · OSTI ID:929012

Chacko, Z; Nomura, Yasunori; Papucci, Michele; +1 more

{beta} functions of orbifold theories and the hierarchy problem

Journal Article · 2000 · Physical Review. D, Particles Fields · OSTI ID:20215161

Csaki, Csaba; Skiba, Witold; Terning, John

Hierarchy from baryogenesis

Journal Article · 2006 · Physical Review. D, Particles Fields · OSTI ID:20776730

Senatore, Leonardo

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Phenomenology-HEP
HEPPH
HEPTH
Beyond Standard Model
CP violation
technicolor and composite models

Title: Solving the wrong hierarchy problem

Citation Formats

References (61)

Cited By (1)

Similar Records

Related Subjects