Abstract
We reconsider gravitational corrections to vacuum decay, confirming and simplifying earlier results and extending them allowing for a non-minimal coupling of the Higgs to gravity, finding that leading-order gravitational corrections suppress the vacuum decay rate. Furthermore, we find minor corrections to thermal vacuum decay in the SM adding one-loop corrections to the Higgs kinetic term, two-loop corrections to the Higgs potential and allowing for time-dependent bounces.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
F. Bezrukov, M.Yu. Kalmykov, B.A. Kniehl and M. Shaposhnikov, Higgs boson mass and new physics, JHEP 10 (2012) 140 [arXiv:1205.2893] [INSPIRE].
G. Degrassi et al., Higgs mass and vacuum stability in the standard model at NNLO, JHEP 08 (2012) 098 [arXiv:1205.6497] [INSPIRE].
D. Buttazzo et al., Investigating the near-criticality of the Higgs boson, JHEP 12 (2013) 089 [arXiv:1307.3536] [INSPIRE].
G. Isidori, V.S. Rychkov, A. Strumia and N. Tetradis, Gravitational corrections to standard model vacuum decay, Phys. Rev. D 77 (2008) 025034 [arXiv:0712.0242] [INSPIRE].
J.R. Espinosa, J.-F. Fortin and M. Trépanier, Consistency of scalar potentials from quantum de Sitter space, Phys. Rev. D 93 (2016) 124067 [arXiv:1508.05343] [INSPIRE].
J.R. Espinosa, Implications of the top (and Higgs) mass for vacuum stability, PoS(TOP2015)043 [arXiv:1512.01222] [INSPIRE].
V. Branchina, E. Messina and D. Zappala, Impact of gravity on vacuum stability, arXiv:1601.06963 [INSPIRE].
Y. Goto and K. Okuyama, Numerical analysis of Coleman-de Luccia tunneling, arXiv:1601.07632 [INSPIRE].
A. Masoumi, S. Paban and E.J. Weinberg, Tunneling from a Minkowski vacuum to an AdS vacuum: a new thin-wall regime, Phys. Rev. D 94 (2016) 025023 [arXiv:1603.07679] [INSPIRE].
A. Rajantie and S. Stopyra, Standard model vacuum decay with gravity, arXiv:1606.00849 [INSPIRE].
O. Czerwińka, Z. Lalak, M. Lewicki and P. Olszewski, The impact of non-minimally coupled gravity on vacuum stability, arXiv:1606.07808 [INSPIRE].
J.R. Espinosa, G.F. Giudice and A. Riotto, Cosmological implications of the Higgs mass measurement, JCAP 05 (2008) 002 [arXiv:0710.2484] [INSPIRE].
A. Kobakhidze and A. Spencer-Smith, Electroweak vacuum (in)stability in an inflationary universe, Phys. Lett. B 722 (2013) 130 [arXiv:1301.2846] [INSPIRE].
A. Salvio, Higgs inflation at NNLO after the boson discovery, Phys. Lett. B 727 (2013) 234 [arXiv:1308.2244]
M. Fairbairn and R. Hogan, Electroweak vacuum stability in light of BICEP2, Phys. Rev. Lett. 112 (2014) 201801 [arXiv:1403.6786] [INSPIRE].
A. Hook, J. Kearney, B. Shakya and K.M. Zurek, Probable or improbable universe? correlating electroweak vacuum instability with the scale of inflation, JHEP 01 (2015) 061 [arXiv:1404.5953] [INSPIRE].
M. Herranen, T. Markkanen, S. Nurmi and A. Rajantie, Spacetime curvature and the Higgs stability during inflation, Phys. Rev. Lett. 113 (2014) 211102 [arXiv:1407.3141] [INSPIRE].
K. Enqvist, T. Meriniemi and S. Nurmi, Higgs dynamics during inflation, JCAP 07 (2014) 025 [arXiv:1404.3699] [INSPIRE].
A. Kobakhidze and A. Spencer-Smith, The Higgs vacuum is unstable, arXiv:1404.4709 [INSPIRE].
K. Kamada, Inflationary cosmology and the standard model Higgs with a small Hubble induced mass, Phys. Lett. B 742 (2015) 126 [arXiv:1409.5078] [INSPIRE].
A. Salvio and A. Mazumdar, Classical and quantum initial conditions for Higgs inflation, Phys. Lett. B 750 (2015) 194.
J.R. Espinosa et al., The cosmological Higgstory of the vacuum instability, JHEP 09 (2015) 174 [arXiv:1505.04825] [INSPIRE].
W.E. East, J. Kearney, B. Shakya, H. Yoo and K.M. Zurek, Spacetime dynamics of a Higgs vacuum instability during inflation, submitted to Phys. Rev. D, arXiv:1607.00381 [INSPIRE].
A. Andreassen, D. Farhi, W. Frost and M.D. Schwartz, Precision decay rate calculations in quantum field theory, arXiv:1604.06090 [INSPIRE].
G.F. Giudice, P. Paradisi and A. Strumia, Indirect determinations of the top quark mass, JHEP 11 (2015) 192 [arXiv:1508.05332] [INSPIRE].
G.W. Anderson, New cosmological constraints on the Higgs boson and top quark masses, Phys. Lett. B 243 (1990) 265 [INSPIRE].
P.B. Arnold and S. Vokos, Instability of hot electroweak theory: bounds on m H and M t , Phys. Rev. D 44 (1991) 3620 [INSPIRE].
J.R. Espinosa and M. Quirós, Improved metastability bounds on the standard model Higgs mass, Phys. Lett. B 353 (1995) 257 [hep-ph/9504241] [INSPIRE].
L. Delle Rose, C. Marzo and A. Urbano, On the fate of the standard model at finite temperature, JHEP 05 (2016) 050 [arXiv:1507.06912] [INSPIRE].
S.R. Coleman and F. De Luccia, Gravitational effects on and of vacuum decay, Phys. Rev. D 21 (1980) 3305 [INSPIRE].
S.R. Coleman, V. Glaser and A. Martin, Action minima among solutions to a class of euclidean scalar field equations, Commun. Math. Phys. 58 (1978) 211 [INSPIRE].
G. Isidori, G. Ridolfi and A. Strumia, On the metastability of the standard model vacuum, Nucl. Phys. B 609 (2001) 387 [hep-ph/0104016] [INSPIRE].
K.S. Stelle, Renormalization of higher derivative quantum gravity, Phys. Rev. D 16 (1977) 953 [INSPIRE].
A. Salvio and A. Strumia, Agravity, JHEP 06 (2014) 080 [arXiv:1403.4226] [INSPIRE].
A. Salvio and A. Strumia, Quantum mechanics of 4-derivative theories, Eur. Phys. J. C 76 (2016) 227 [arXiv:1512.01237] [INSPIRE].
V. Branchina and E. Messina, Stability, Higgs boson mass and new physics, Phys. Rev. Lett. 111 (2013) 241801 [arXiv:1307.5193] [INSPIRE].
K. Kannike et al., Dynamically induced planck scale and inflation, JHEP 05 (2015) 065 [arXiv:1502.01334] [INSPIRE].
P.B. Arnold and O. Espinosa, The effective potential and first order phase transitions: beyond leading-order, Phys. Rev. D 47 (1993) 3546 [Erratum ibid. D 50 (1994) 6662] [hep-ph/9212235] [INSPIRE].
Z. Fodor and A. Hebecker, Finite temperature effective potential to order g 4 , λ 2 and the electroweak phase transition, Nucl. Phys. B 432 (1994) 127 [hep-ph/9403219] [INSPIRE].
I.G. Moss, D.J. Toms and W.A. Wright, The effective action at finite temperature, Phys. Rev. D 46 (1992) 1671 [INSPIRE].
D. Bödeker, W. Buchmüller, Z. Fodor and T. Helbig, Aspects of the cosmological electroweak phase transition, Nucl. Phys. B 423 (1994) 171 [hep-ph/9311346] [INSPIRE].
M. Quirós, Field theory at finite temperature and phase transitions, Helv. Phys. Acta 67 (1994) 451 [INSPIRE].
A.D. Linde, Fate of the false vacuum at finite temperature: theory and applications, Phys. Lett. B 100 (1981) 37 [INSPIRE].
J. Garriga, Instantons for vacuum decay at finite temperature in the thin wall limit, Phys. Rev. D 49 (1994) 5497 [hep-th/9401020] [INSPIRE].
A. Ferrera, Bubble nucleation in ϕ 4 models at all temperatures, Phys. Rev. D 52 (1995) 6717 [hep-ph/9510379] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1608.02555
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Salvio, A., Strumia, A., Tetradis, N. et al. On gravitational and thermal corrections to vacuum decay. J. High Energ. Phys. 2016, 54 (2016). https://doi.org/10.1007/JHEP09(2016)054
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP09(2016)054