Abstract
We consider a scalar potential with two minima, one of which is arbitrarily deep, such as could be the case for the Higgs potential in the Standard Model. A recent calculation within the thin-wall approximation [1] concludes that regions in which the scalar field takes values beyond the top of the potential barrier are forced by gravity to collapse, while they remain hidden behind a black hole horizon. We show that the thin-wall approximation is not applicable to this problem. We clarify the issue through numerical and analytical solutions to the field equations of the gravity-scalar system. We find that regions around the deeper minimum expand, and would thereby engulf the Universe in post-inflationary cosmology. We also show that black holes with Higgs hair are unstable. Even though the physics of the true vacuum is different, our final conclusion replicates the earlier ‘Higgstory’ paper [2].
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V. De Luca, A. Kehagias and A. Riotto, On the Cosmological Stability of the Higgs Instability, arXiv:2205.10240 [INSPIRE].
J.R. Espinosa et al., The cosmological Higgstory of the vacuum instability, JHEP 09 (2015) 174 [arXiv:1505.04825] [INSPIRE].
CMS collaboration, Observation of a New Boson at a Mass of 125 GeV with the CMS Experiment at the LHC, Phys. Lett. B 716 (2012) 30 [arXiv:1207.7235] [INSPIRE].
ATLAS collaboration, Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC, Phys. Lett. B 716 (2012) 1 [arXiv:1207.7214] [INSPIRE].
J. Elias-Miro, J.R. Espinosa, G.F. Giudice, G. Isidori, A. Riotto and A. Strumia, Higgs mass implications on the stability of the electroweak vacuum, Phys. Lett. B 709 (2012) 222 [arXiv:1112.3022] [INSPIRE].
D. Buttazzo et al., Investigating the near-criticality of the Higgs boson, JHEP 12 (2013) 089 [arXiv:1307.3536] [INSPIRE].
A.V. Bednyakov, B.A. Kniehl, A.F. Pikelner and O.L. Veretin, Stability of the Electroweak Vacuum: Gauge Independence and Advanced Precision, Phys. Rev. Lett. 115 (2015) 201802 [arXiv:1507.08833] [INSPIRE].
O. Lebedev and A. Westphal, Metastable Electroweak Vacuum: Implications for Inflation, Phys. Lett. B 719 (2013) 415 [arXiv:1210.6987] [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].
J. Kearney, H. Yoo and K.M. Zurek, Is a Higgs Vacuum Instability Fatal for High-Scale Inflation?, Phys. Rev. D 91 (2015) 123537 [arXiv:1503.05193] [INSPIRE].
M. Kawasaki, K. Mukaida and T.T. Yanagida, Simple cosmological solution to the Higgs field instability problem in chaotic inflation and the formation of primordial black holes, Phys. Rev. D 94 (2016) 063509 [arXiv:1605.04974] [INSPIRE].
A. Rajantie and S. Stopyra, Standard Model vacuum decay with gravity, Phys. Rev. D 95 (2017) 025008 [arXiv:1606.00849] [INSPIRE].
A. Salvio, A. Strumia, N. Tetradis and A. Urbano, On gravitational and thermal corrections to vacuum decay, JHEP 09 (2016) 054 [arXiv:1608.02555] [INSPIRE].
K. Enqvist, M. Karciauskas, O. Lebedev, S. Rusak and M. Zatta, Postinflationary vacuum instability and Higgs-inflaton couplings, JCAP 11 (2016) 025 [arXiv:1608.08848] [INSPIRE].
A. Joti et al., (Higgs) vacuum decay during inflation, JHEP 07 (2017) 058 [arXiv:1706.00792] [INSPIRE].
T. Markkanen, A. Rajantie and S. Stopyra, Cosmological Aspects of Higgs Vacuum Metastability, Front. Astron. Space Sci. 5 (2018) 40 [arXiv:1809.06923] [INSPIRE].
A. Mantziris, T. Markkanen and A. Rajantie, Vacuum decay constraints on the Higgs curvature coupling from inflation, JCAP 03 (2021) 077 [arXiv:2011.03763] [INSPIRE].
FCC collaboration, FCC-ee: The Lepton Collider: Future Circular Collider Conceptual Design Report Volume 2, Eur. Phys. J. ST 228 (2019) 261 [INSPIRE].
X. Lou, Circular Electron-Positron Collider — Status and Progress, talk at HKUST-IAS Conference on High Energy Physics, Hong Kong University of Science and Technology, Hong Kong, 17 January 2022, CEPC web site: http://cepc.ihep.ac.cn.
R. Franceschini, A. Strumia and A. Wulzer, The collider landscape: which collider for establishing the SM instability?, JHEP 08 (2022) 229 [arXiv:2203.17197] [INSPIRE].
P. Hut and M.J. Rees, How stable is our vacuum?, Nature 302 (1983) 508 [INSPIRE].
V.A. Rubakov and P.G. Tinyakov, Towards the semiclassical calculability of high-energy instanton cross-sections, Phys. Lett. B 279 (1992) 165 [INSPIRE].
A.N. Kuznetsov and P.G. Tinyakov, False vacuum decay induced by particle collisions, Phys. Rev. D 56 (1997) 1156 [hep-ph/9703256] [INSPIRE].
K. Enqvist and J. McDonald, Can cosmic ray catalysed vacuum decay dominate over tunneling?, Nucl. Phys. B 513 (1998) 661 [hep-ph/9704431] [INSPIRE].
W. Busza, R.L. Jaffe, J. Sandweiss and F. Wilczek, Review of speculative ‘disaster scenarios’ at RHIC, Rev. Mod. Phys. 72 (2000) 1125 [hep-ph/9910333] [INSPIRE].
W. Israel, Singular hypersurfaces and thin shells in general relativity, Nuovo Cim. B 44S10 (1966) 1 [Erratum ibid. 48 (1967) 463] [INSPIRE].
S.K. Blau, E.I. Guendelman and A.H. Guth, The Dynamics of False Vacuum Bubbles, Phys. Rev. D 35 (1987) 1747 [INSPIRE].
N. Tetradis, Black holes and Higgs stability, JCAP 09 (2016) 036 [arXiv:1606.04018] [INSPIRE].
R.C. Tolman, Effect of imhomogeneity on cosmological models, Proc. Nat. Acad. Sci. 20 (1934) 169 [INSPIRE].
H. Bondi, Spherically symmetrical models in general relativity, Mon. Not. Roy. Astron. Soc. 107 (1947) 410 [INSPIRE].
W.E. East, J. Kearney, B. Shakya, H. Yoo and K.M. Zurek, Spacetime Dynamics of a Higgs Vacuum Instability During Inflation, Phys. Rev. D 95 (2017) 023526 [arXiv:1607.00381] [INSPIRE].
C.A.R. Herdeiro and E. Radu, Asymptotically flat black holes with scalar hair: a review, Int. J. Mod. Phys. D 24 (2015) 1542014 [arXiv:1504.08209] [INSPIRE].
U. Nucamendi and M. Salgado, Scalar hairy black holes and solitons in asymptotically flat space-times, Phys. Rev. D 68 (2003) 044026 [gr-qc/0301062] [INSPIRE].
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Strumia, A., Tetradis, N. Higgstory repeats itself. J. High Energ. Phys. 2022, 203 (2022). https://doi.org/10.1007/JHEP09(2022)203
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DOI: https://doi.org/10.1007/JHEP09(2022)203