Abstract
We consider the possibility that small black holes can act as nucleation seeds for the decay of a metastable vacuum, focussing particularly on the Higgs potential. Using a thin-wall bubble approximation for the nucleation process, which is possible when generic quantum gravity corrections are added to the Higgs potential, we show that primordial black holes can stimulate vacuum decay. We demonstrate that for suitable parameter ranges, the vacuum decay process dominates over the Hawking evaporation process. Finally, we comment on the application of these results to vacuum decay seeded by black holes produced in particle collisions.
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ATLAS collaboration, Combined search for the Standard Model Higgs boson using up to 4.9 fb −1 of pp collision data at \( \sqrt{s}=7 \) TeV with the ATLAS detector at the LHC, Phys. Lett. B 710 (2012) 49 [arXiv:1202.1408] [INSPIRE].
CMS collaboration, Combined results of searches for the standard model Higgs boson in pp collisions at \( \sqrt{s}=7 \) TeV, Phys. Lett. B 710 (2012) 26 [arXiv:1202.1488] [INSPIRE].
G. Degrassi et al., Higgs mass and vacuum stability in the standard model at NNLO, JHEP 08 (2012) 098 [arXiv:1205.6497] [INSPIRE].
A. Gorsky, A. Mironov, A. Morozov and T.N. Tomaras, Is the standard model saved asymptotically by conformal symmetry?, J. Exp. Theor. Phys. 120 (2015) 344 [arXiv:1409.0492] [INSPIRE].
F. Bezrukov and M. Shaposhnikov, Why should we care about the top quark Yukawa coupling?, J. Exp. Theor. Phys. 120 (2015) 335 [arXiv:1411.1923] [INSPIRE].
J. Ellis, Discrete glimpses of the physics landscape after the Higgs discovery, J. Phys. Conf. Ser. 631 (2015) 012001 [arXiv:1501.05418] [INSPIRE].
K. Blum, R.T. D’Agnolo and J. Fan, Vacuum stability bounds on Higgs coupling deviations in the absence of new bosons, JHEP 03 (2015) 166 [arXiv:1502.01045] [INSPIRE].
M.E. Bracco, G. Krein and M. Nielsen, Quark meson coupling model with constituent quarks: exchange and pionic effects, Phys. Lett. B 432 (1998) 258 [nucl-th/9805019] [INSPIRE].
N. Cabibbo, L. Maiani, G. Parisi and R. Petronzio, Bounds on the fermions and Higgs boson masses in grand unified theories, Nucl. Phys. B 158 (1979) 295 [INSPIRE].
M.S. Turner and F. Wilczek, Is our vacuum metastable, Nature D 79 (1982) 633.
M. Lindner, M. Sher and H.W. Zaglauer, Probing vacuum stability bounds at the Fermilab collider, Phys. Lett. B 228 (1989) 139 [INSPIRE].
M. Sher, Electroweak Higgs potentials and vacuum stability, Phys. Rept. 179 (1989) 273 [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].
J.R. Espinosa, G.F. Giudice and A. Riotto, Cosmological implications of the Higgs mass measurement, JCAP 05 (2008) 002 [arXiv:0710.2484] [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. 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].
S.R. Coleman, The fate of the false vacuum. 1. Semiclassical theory, Phys. Rev. D 15 (1977) 2929 [Erratum ibid. D 16 (1977) 1248] [INSPIRE].
C.G. Callan Jr. and S.R. Coleman, The fate of the false vacuum. 2. First quantum corrections, Phys. Rev. D 16 (1977) 1762 [INSPIRE].
S.R. Coleman and F. De Luccia, Gravitational effects on and of vacuum decay, Phys. Rev. D 21 (1980) 3305 [INSPIRE].
I. Yu. Kobzarev, L.B. Okun and M.B. Voloshin, Bubbles in metastable vacuum, Sov. J. Nucl. Phys. 20 (1975) 644 [INSPIRE].
R. Gregory, I.G. Moss and B. Withers, Black holes as bubble nucleation sites, JHEP 03 (2014) 081 [arXiv:1401.0017] [INSPIRE].
W.A. Hiscock, Can black holes nucleate vacuum phase transitions?, Phys. Rev. D 35 (1987) 1161 [INSPIRE].
V.A. Berezin, V.A. Kuzmin and I.I. Tkachev, O(3) invariant tunneling in general relativity, Phys. Lett. B 207 (1988) 397 [INSPIRE].
M. Sasaki and D.-h. Yeom, Thin-shell bubbles and information loss problem in Anti de Sitter background, JHEP 12 (2014) 155 [arXiv:1404.1565] [INSPIRE].
A. Shkerin and S. Sibiryakov, On stability of electroweak vacuum during inflation, Phys. Lett. B 746 (2015) 257 [arXiv:1503.02586] [INSPIRE].
P. Burda, R. Gregory and I. Moss, Gravity and the stability of the Higgs vacuum, Phys. Rev. Lett. 115 (2015) 071303 [arXiv:1501.04937] [INSPIRE].
F. Mellor and I. Moss, Black holes and quantum wormholes, Phys. Lett. B 222 (1989) 361 [INSPIRE].
F. Mellor and I. Moss, Black holes and gravitational instantons, Class. Quant. Grav. 6 (1989) 1379 [INSPIRE].
S.W. Hawking and N. Turok, Open inflation without false vacua, Phys. Lett. B 425 (1998) 25 [hep-th/9802030] [INSPIRE].
N. Turok and S.W. Hawking, Open inflation, the four form and the cosmological constant, Phys. Lett. B 432 (1998) 271 [hep-th/9803156] [INSPIRE].
A.R. Brown and E.J. Weinberg, Thermal derivation of the Coleman-De Luccia tunneling prescription, Phys. Rev. D 76 (2007) 064003 [arXiv:0706.1573] [INSPIRE].
I.G. Moss, Black hole bubbles, Phys. Rev. D 32 (1985) 1333 [INSPIRE].
C. Cheung and S. Leichenauer, Limits on new physics from black holes, Phys. Rev. D 89 (2014) 104035 [arXiv:1309.0530] [INSPIRE].
C. Ford, D.R.T. Jones, P.W. Stephenson and M.B. Einhorn, The effective potential and the renormalization group, Nucl. Phys. B 395 (1993) 17 [hep-lat/9210033] [INSPIRE].
K.G. Chetyrkin and M.F. Zoller, Three-loop β-functions for top-Yukawa and the Higgs self-interaction in the standard model, JHEP 06 (2012) 033 [arXiv:1205.2892] [INSPIRE].
F. Bezrukov, M.Y. Kalmykov, B.A. Kniehl and M. Shaposhnikov, Higgs boson mass and new physics, JHEP 10 (2012) 140 [arXiv:1205.2893] [INSPIRE].
B. Bergerhoff, M. Lindner and M. Weiser, Dynamics of metastable vacua in the early universe, Phys. Lett. B 469 (1999) 61 [hep-ph/9909261] [INSPIRE].
E. Greenwood, E. Halstead, R. Poltis and D. Stojkovic, Dark energy, the electroweak vacua and collider phenomenology, Phys. Rev. D 79 (2009) 103003 [arXiv:0810.5343] [INSPIRE].
V. Branchina and E. Messina, Stability, Higgs boson mass and new physics, Phys. Rev. Lett. 111 (2013) 241801 [arXiv:1307.5193] [INSPIRE].
V. Branchina, E. Messina and M. Sher, Lifetime of the electroweak vacuum and sensitivity to Planck scale physics, Phys. Rev. D 91 (2015) 013003 [arXiv:1408.5302] [INSPIRE].
A. Eichhorn, H. Gies, J. Jaeckel, T. Plehn, M.M. Scherer and R. Sondenheimer, The Higgs mass and the scale of new physics, JHEP 04 (2015) 022 [arXiv:1501.02812] [INSPIRE].
F. Loebbert and J. Plefka, Quantum gravitational contributions to the standard model effective potential and vacuum stability, arXiv:1502.03093 [INSPIRE].
Z. Lalak, M. Lewicki and P. Olszewski, Higher-order scalar interactions and SM vacuum stability, JHEP 05 (2014) 119 [arXiv:1402.3826] [INSPIRE].
W. Israel, Singular hypersurfaces and thin shells in general relativity, Nuovo Cim. B 44 (1966) 4349.
P. Bowcock, C. Charmousis and R. Gregory, General brane cosmologies and their global space-time structure, Class. Quant. Grav. 17 (2000) 4745 [hep-th/0007177] [INSPIRE].
R. Gregory and A. Padilla, Nested brane worlds and strong brane gravity, Phys. Rev. D 65 (2002) 084013 [hep-th/0104262] [INSPIRE].
A. Aguirre and M.C. Johnson, Dynamics and instability of false vacuum bubbles, Phys. Rev. D 72 (2005) 103525 [gr-qc/0508093] [INSPIRE].
A. Aguirre and M.C. Johnson, Two tunnels to inflation, Phys. Rev. D 73 (2006) 123529 [gr-qc/0512034] [INSPIRE].
G.W. Gibbons and S.W. Hawking, Action integrals and partition functions in quantum gravity, Phys. Rev. D 15 (1977) 2752 [INSPIRE].
E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [INSPIRE].
F.A. Bais and R.J. Russell, Magnetic monopole solution of nonabelian gauge theory in curved space-time, Phys. Rev. D 11 (1975) 2692 [Erratum ibid. D 12 (1975) 3368] [INSPIRE].
Y.M. Cho and P.G.O. Freund, Gravitating ’t Hooft monopoles, Phys. Rev. D 12 (1975) 1588 [Erratum ibid. D 13 (1976) 531] [INSPIRE].
G.W. Gibbons, Vacuum polarization and the spontaneous loss of charge by black holes, Commun. Math. Phys. 44 (1975) 245.
B.J. Carr and S.W. Hawking, Black holes in the early universe, Mon. Not. Roy. Astron. Soc. 168 (1974) 399 [INSPIRE].
D.N. Page, Particle emission rates from a black hole: massless particles from an uncharged, nonrotating hole, Phys. Rev. D 13 (1976) 198 [INSPIRE].
N. Arkani-Hamed, S. Dimopoulos and G.R. Dvali, The hierarchy problem and new dimensions at a millimeter, Phys. Lett. B 429 (1998) 263 [hep-ph/9803315] [INSPIRE].
I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos and G.R. Dvali, New dimensions at a millimeter to a Fermi and superstrings at a TeV, Phys. Lett. B 436 (1998) 257 [hep-ph/9804398] [INSPIRE].
L. Randall and R. Sundrum, A large mass hierarchy from a small extra dimension, Phys. Rev. Lett. 83 (1999) 3370 [hep-ph/9905221] [INSPIRE].
L. Randall and R. Sundrum, An alternative to compactification, Phys. Rev. Lett. 83 (1999) 4690 [hep-th/9906064] [INSPIRE].
S. Dimopoulos and G.L. Landsberg, Black holes at the LHC, Phys. Rev. Lett. 87 (2001) 161602 [hep-ph/0106295] [INSPIRE].
S.B. Giddings and S.D. Thomas, High-energy colliders as black hole factories: the end of short distance physics, Phys. Rev. D 65 (2002) 056010 [hep-ph/0106219] [INSPIRE].
P. Kanti and E. Winstanley, Hawking radiation from higher-dimensional black holes, Fundam. Theor. Phys. 178 (2015) 229 [arXiv:1402.3952] [INSPIRE].
R.C. Myers and M.J. Perry, Black holes in higher dimensional space-times, Annals Phys. 172 (1986) 304 [INSPIRE].
P. Kanti, Black holes in theories with large extra dimensions: a review, Int. J. Mod. Phys. A 19 (2004) 4899 [hep-ph/0402168] [INSPIRE].
R. Gregory, Braneworld black holes, Lect. Notes Phys. 769 (2009) 259 [arXiv:0804.2595] [INSPIRE].
N. Dadhich, R. Maartens, P. Papadopoulos and V. Rezania, Black holes on the brane, Phys. Lett. B 487 (2000) 1 [hep-th/0003061] [INSPIRE].
S.W. Hawking and G.T. Horowitz, The gravitational hamiltonian, action, entropy and surface terms, Class. Quant. Grav. 13 (1996) 1487 [gr-qc/9501014] [INSPIRE].
R. Gregory and A. Padilla, Brane world instantons, Class. Quant. Grav. 19 (2002) 279 [hep-th/0107108] [INSPIRE].
R. Emparan, G.T. Horowitz and R.C. Myers, Black holes radiate mainly on the brane, Phys. Rev. Lett. 85 (2000) 499 [hep-th/0003118] [INSPIRE].
C.M. Harris and P. Kanti, Hawking radiation from a (4 + n)-dimensional black hole: exact results for the Schwarzschild phase, JHEP 10 (2003) 014 [hep-ph/0309054] [INSPIRE].
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ArXiv ePrint: 1503.07331
On leave of absence from ITEP, Moscow. (Philipp Burda)
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Burda, P., Gregory, R. & Moss, I.G. Vacuum metastability with black holes. J. High Energ. Phys. 2015, 114 (2015). https://doi.org/10.1007/JHEP08(2015)114
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DOI: https://doi.org/10.1007/JHEP08(2015)114