Is a Higgs vacuum instability fatal for high-scale inflation?
Abstract
We study the inflationary evolution of a scalar field h with an unstable potential for the case where the Hubble parameter H during inflation is larger than the instability scale ΛI of the potential. Quantum fluctuations in the field of size δh ~ H/2π imply that the unstable part of the potential is sampled during inflation. We investigate the evolution of these fluctuations to the unstable regime and in particular whether they generate cosmological defects or even terminate inflation. We apply the results of a toy scalar model to the case of the Standard Model (SM) Higgs boson, the quartic of which evolves to negative values at high scales, and extend previous analyses of Higgs dynamics during inflation utilizing statistical methods to a perturbative and fully gauge-invariant formulation. We show that the dynamics are controlled by the renormalization group-improved quartic coupling λ(μ) evaluated at a scale μ = H, such that Higgs fluctuations are enhanced by the instability if H > ΛI. Even if H > ΛI, the instability in the Standard Model Higgs potential does not end inflation; instead the universe slowly sloughs off crunching patches of space that never come to dominate the evolution. As inflation proceeds pastmore »
- Authors:
-
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Univ. of California, Berkeley, CA (United States)
- Publication Date:
- Research Org.:
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1226319
- Alternate Identifier(s):
- OSTI ID: 1198521
- Report Number(s):
- FERMILAB-PUB-15-090-T
Journal ID: ISSN 1550-7998; PRVDAQ; arXiv eprint number arXiv:1503.05193
- Grant/Contract Number:
- AC02-07CH11359; AC02-05CH11231; SC0007859
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. D, Particles, Fields, Gravitation and Cosmology
- Additional Journal Information:
- Journal Volume: 91; Journal Issue: 12; Journal ID: ISSN 1550-7998
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Kearney, John, Yoo, Hojin, and Zurek, Kathryn M. Is a Higgs vacuum instability fatal for high-scale inflation?. United States: N. p., 2015.
Web. doi:10.1103/PhysRevD.91.123537.
Kearney, John, Yoo, Hojin, & Zurek, Kathryn M. Is a Higgs vacuum instability fatal for high-scale inflation?. United States. https://doi.org/10.1103/PhysRevD.91.123537
Kearney, John, Yoo, Hojin, and Zurek, Kathryn M. Thu .
"Is a Higgs vacuum instability fatal for high-scale inflation?". United States. https://doi.org/10.1103/PhysRevD.91.123537. https://www.osti.gov/servlets/purl/1226319.
@article{osti_1226319,
title = {Is a Higgs vacuum instability fatal for high-scale inflation?},
author = {Kearney, John and Yoo, Hojin and Zurek, Kathryn M.},
abstractNote = {We study the inflationary evolution of a scalar field h with an unstable potential for the case where the Hubble parameter H during inflation is larger than the instability scale ΛI of the potential. Quantum fluctuations in the field of size δh ~ H/2π imply that the unstable part of the potential is sampled during inflation. We investigate the evolution of these fluctuations to the unstable regime and in particular whether they generate cosmological defects or even terminate inflation. We apply the results of a toy scalar model to the case of the Standard Model (SM) Higgs boson, the quartic of which evolves to negative values at high scales, and extend previous analyses of Higgs dynamics during inflation utilizing statistical methods to a perturbative and fully gauge-invariant formulation. We show that the dynamics are controlled by the renormalization group-improved quartic coupling λ(μ) evaluated at a scale μ = H, such that Higgs fluctuations are enhanced by the instability if H > ΛI. Even if H > ΛI, the instability in the Standard Model Higgs potential does not end inflation; instead the universe slowly sloughs off crunching patches of space that never come to dominate the evolution. As inflation proceeds past 50 e-folds, a significant proportion of patches exits inflation in the unstable vacuum, and as much as 1% of the spacetime can rapidly evolve to a defect. Depending on the nature of these defects, however, the resulting universe could still be compatible with ours.},
doi = {10.1103/PhysRevD.91.123537},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
number = 12,
volume = 91,
place = {United States},
year = {Thu Jun 25 00:00:00 EDT 2015},
month = {Thu Jun 25 00:00:00 EDT 2015}
}
Web of Science
Works referenced in this record:
Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
journal, September 2012
- Aad, G.; Abajyan, T.; Abbott, B.
- Physics Letters B, Vol. 716, Issue 1
Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
journal, September 2012
- Chatrchyan, S.; Khachatryan, V.; Sirunyan, A. M.
- Physics Letters B, Vol. 716, Issue 1
Gravitational effects on and of vacuum decay
journal, June 1980
- Coleman, Sidney; De Luccia, Frank
- Physical Review D, Vol. 21, Issue 12
Electroweak Higgs potential and vacuum stability
journal, August 1989
- Sher, Marc
- Physics Reports, Vol. 179, Issue 5-6
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 1-4
Lower limit on the Higgs mass in the standard model: An update
journal, October 1994
- Altarelli, G.; Isidori, G.
- Physics Letters B, Vol. 337, Issue 1-2
Precise vacuum stability bound in the standard model
journal, November 1993
- Sher, Marc
- Physics Letters B, Vol. 317, Issue 1-2
On the metastability of the Standard Model vacuum
journal, August 2001
- Isidori, Gino; Ridolfi, Giovanni; Strumia, Alessandro
- Nuclear Physics B, Vol. 609, Issue 3
Gravitational corrections to standard model vacuum decay
journal, January 2008
- Isidori, Gino; Rychkov, Vyacheslav S.; Strumia, Alessandro
- Physical Review D, Vol. 77, Issue 2
The probable fate of the Standard Model
journal, August 2009
- Ellis, J.; Espinosa, J. R.; Giudice, G. F.
- Physics Letters B, Vol. 679, Issue 4
Higgs mass implications on the stability of the electroweak vacuum
journal, March 2012
- Elias-Miró, Joan; Espinosa, José R.; Giudice, Gian F.
- Physics Letters B, Vol. 709, Issue 3
Stability, Higgs Boson Mass, and New Physics
journal, December 2013
- Branchina, Vincenzo; Messina, Emanuele
- Physical Review Letters, Vol. 111, Issue 24
Top mass determination, Higgs inflation, and vacuum stability
journal, September 2014
- Branchina, Vincenzo; Messina, Emanuele; Platania, Alessia
- Journal of High Energy Physics, Vol. 2014, Issue 9
Lifetime of the electroweak vacuum and sensitivity to Planck scale physics
journal, January 2015
- Branchina, Vincenzo; Messina, Emanuele; Sher, Marc
- Physical Review D, Vol. 91, Issue 1
Higher-order scalar interactions and SM vacuum stability
journal, May 2014
- Lalak, Zygmunt; Lewicki, Marek; Olszewski, Pawel
- Journal of High Energy Physics, Vol. 2014, Issue 5
Cosmological implications of the Higgs mass measurement
journal, May 2008
- Espinosa, J. R.; Giudice, G. F.; Riotto, A.
- Journal of Cosmology and Astroparticle Physics, Vol. 2008, Issue 05
Can the standard model Higgs boson seed the formation of structures in our Universe?
journal, February 2013
- Choi, Ki-Young; Huang, Qing-Guo
- Physical Review D, Vol. 87, Issue 4
Metastable electroweak vacuum: Implications for inflation
journal, February 2013
- Lebedev, Oleg; Westphal, Alexander
- Physics Letters B, Vol. 719, Issue 4-5
Electroweak vacuum (in)stability in an inflationary universe
journal, May 2013
- Kobakhidze, Archil; Spencer-Smith, Alexander
- Physics Letters B, Vol. 722, Issue 1-3
Generation of the Higgs condensate and its decay after inflation
journal, October 2013
- Enqvist, Kari; Meriniemi, Tuukka; Nurmi, Sami
- Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 10
Electroweak Vacuum Stability in Light of BICEP2
journal, May 2014
- Fairbairn, Malcolm; Hogan, Robert
- Physical Review Letters, Vol. 112, Issue 20
Probable or improbable universe? Correlating electroweak vacuum instability with the scale of inflation
journal, January 2015
- Hook, Anson; Kearney, John; Shakya, Bibhushan
- Journal of High Energy Physics, Vol. 2015, Issue 1
Spacetime Curvature and the Higgs Stability During Inflation
journal, November 2014
- Herranen, M.; Markkanen, T.; Nurmi, S.
- Physical Review Letters, Vol. 113, Issue 21
Inflationary cosmology and the standard model Higgs with a small Hubble-induced mass
journal, March 2015
- Kamada, Kohei
- Physics Letters B, Vol. 742
Higgs dynamics during inflation
journal, July 2014
- Enqvist, Kari; Meriniemi, Tuukka; Nurmi, Sami
- Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 07
On stability of electroweak vacuum during inflation
journal, June 2015
- Shkerin, A.; Sibiryakov, S.
- Physics Letters B, Vol. 746
Supercooled phase transitions in the very early universe
journal, March 1982
- Hawking, S. W.; Moss, I. L.
- Physics Letters B, Vol. 110, Issue 1
Equilibrium state of a self-interacting scalar field in the de Sitter background
journal, November 1994
- Starobinsky, Alexei A.; Yokoyama, Jun’ichi
- Physical Review D, Vol. 50, Issue 10
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
On the gauge dependence of spontaneous symmetry breaking in gauge theories
journal, December 1975
- Nielsen, N. K.
- Nuclear Physics B, Vol. 101, Issue 1
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
Consistent use of effective potentials
journal, January 2015
- Andreassen, Anders; Frost, William; Schwartz, Matthew D.
- Physical Review D, Vol. 91, Issue 1
On the gauge dependence of the Standard Model vacuum instability scale
journal, June 2014
- Di Luzio, Luca; Mihaila, Luminita
- Journal of High Energy Physics, Vol. 2014, Issue 6
The curvature perturbation in a box
journal, December 2007
- Lyth, David H.
- Journal of Cosmology and Astroparticle Physics, Vol. 2007, Issue 12
NINE-YEAR WILKINSON MICROWAVE ANISOTROPY PROBE ( WMAP ) OBSERVATIONS: COSMOLOGICAL PARAMETER RESULTS
journal, September 2013
- Hinshaw, G.; Larson, D.; Komatsu, E.
- The Astrophysical Journal Supplement Series, Vol. 208, Issue 2
Topological phases of eternal inflation
journal, June 2010
- Sekino, Yasuhiro; Shenker, Stephen; Susskind, Leonard
- Physical Review D, Vol. 81, Issue 12
Generalizing Starobinskĭ's Formalism to Yukawa Theory & to Scalar QED
journal, May 2007
- Woodard, R. P.
- Journal of Physics: Conference Series, Vol. 68
Stochastic quantum gravitational inflation
journal, September 2005
- Tsamis, N. C.; Woodard, R. P.
- Nuclear Physics B, Vol. 724, Issue 1-2
Infrared correlations in de Sitter space: Field theoretic versus stochastic approach
journal, March 2014
- Garbrecht, Björn; Rigopoulos, Gerasimos; Zhu, Yi
- Physical Review D, Vol. 89, Issue 6
Feynman diagrams for stochastic inflation and quantum field theory in de Sitter space
journal, March 2015
- Garbrecht, Björn; Gautier, Florian; Rigopoulos, Gerasimos
- Physical Review D, Vol. 91, Issue 6
Quantum contributions to cosmological correlations
journal, August 2005
- Weinberg, Steven
- Physical Review D, Vol. 72, Issue 4
Two loop scalar bilinears for inflationary SQED
journal, November 2006
- Prokopec, T.; Tsamis, N. C.; Woodard, R. P.
- Classical and Quantum Gravity, Vol. 24, Issue 1
Stochastic inflationary scalar electrodynamics
journal, June 2008
- Prokopec, T.; Tsamis, N. C.; Woodard, R. P.
- Annals of Physics, Vol. 323, Issue 6
Can Planck-mass relics of evaporating black holes close the Universe?
journal, September 1987
- MacGibbon, J. H.
- Nature, Vol. 329, Issue 6137
Works referencing / citing this record:
Inflationary imprints on dark matter
journal, November 2015
- Nurmi, Sami; Tenkanen, Tommi; Tuominen, Kimmo
- Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 11
Fate of electroweak vacuum during preheating
journal, October 2016
- Ema, Yohei; Mukaida, Kyohei; Nakayama, Kazunori
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 10
Postinflationary vacuum instability and Higgs-inflaton couplings
journal, November 2016
- Enqvist, Kari; Karčiauskas, Mindaugas; Lebedev, Oleg
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 11
Early Universe Higgs dynamics in the presence of the Higgs-inflaton and non-minimal Higgs-gravity couplings
journal, June 2017
- Ema, Yohei; Karčiauskas, Mindaugas; Lebedev, Oleg
- Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 06
The stochastic spectator
journal, October 2017
- Hardwick, Robert J.; Vennin, Vincent; Byrnes, Christian T.
- Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 10
A cosmological signature of the SM Higgs instability: gravitational waves
journal, September 2018
- Espinosa, J. R.; Racco, D.; Riotto, A.
- Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 09
Implications of the detection of primordial gravitational waves for the Standard Model
journal, May 2019
- Franciolini, G.; Giudice, G. F.; Racco, D.
- Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 05
Conditions for (no) eternal inflation
journal, August 2019
- Rudelius, Tom
- Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 08
Scalar assisted singlet doublet fermion dark matter model and electroweak vacuum stability
journal, October 2018
- Dutta Banik, Amit; Saha, Abhijit Kumar; Sil, Arunansu
- Physical Review D, Vol. 98, Issue 7
On the catalysis of the electroweak vacuum decay by black holes at high temperature
journal, April 2018
- Canko, D.; Gialamas, I.; Jelic-Cizmek, G.
- The European Physical Journal C, Vol. 78, Issue 4
Inflation, (p)reheating and neutrino anomalies: production of sterile neutrinos with secret interactions
journal, October 2019
- Paul, Arnab; Ghoshal, Anish; Chatterjee, Arindam
- The European Physical Journal C, Vol. 79, Issue 10
Gauge-independent scales related to the standard model vacuum instability
text, January 2017
- Espinosa, J. R.; Garny, M.; Konstandin, T.
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Cosmological Aspects of Higgs Vacuum Metastability
journal, December 2018
- Markkanen, Tommi; Rajantie, Arttu; Stopyra, Stephen
- Frontiers in Astronomy and Space Sciences, Vol. 5
Fate of Electroweak Vacuum during Preheating
text, January 2016
- Ema, Yohei; Mukaida, Kyohei; Nakayama, Kazunori
- arXiv
False Vacuum Decay Catalyzed by Black Holes
text, January 2017
- Mukaida, Kyohei; Yamada, Masaki
- arXiv
A Cosmological Signature of the Standard Model Higgs Vacuum Instability: Primordial Black Holes as Dark Matter
text, January 2017
- Espinosa, J. R.; Racco, D.; Riotto, A.
- arXiv
Decay Rate of Electroweak Vacuum in the Standard Model and Beyond
text, January 2018
- Chigusa, So; Moroi, Takeo; Shoji, Yutaro
- arXiv
A Cosmological Signature of the SM Higgs Instability: Gravitational Waves
text, January 2018
- Espinosa, José Ramón; Racco, Davide; Riotto, Antonio
- arXiv
Inflation, (P)reheating and Neutrino Anomalies: Production of Sterile Neutrinos with Secret Interactions
text, January 2018
- Paul, Arnab; Ghoshal, Anish; Chatterjee, Arindam
- arXiv