Abstract
It has been recently shown that, contrary to an intuitive decoupling argument, the presence of new physics at very large energy scales (say around the Planck scale) can have a strong impact on the electroweak vacuum lifetime. In particular, the vacuum could be totally destabilized. This study was performed in a flat spacetime background, and it is important to extend the analysis to curved spacetime since these are Planckian-physics effects. It is generally expected that under these extreme conditions gravity should totally quench the formation of true vacuum bubbles, thus washing out the destabilizing effect of new physics. In this work we extend the analysis to curved spacetime and show that, although gravity pushes toward stabilization, the destabilizing effect of new physics is still (by far) the dominating one. In order to get model independent results, high energy new physics is parametrized in two different independent ways: as higher order operators in the Higgs field, or introducing new particles with very large masses. The destabilizing effect is observed in both cases, hinting at a general mechanism that does not depend on the parametrization details for new physics, thus maintaining the results obtained from the analysis performed in flat spacetime.
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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].
R.A. Flores and M. Sher, Upper Limits to Fermion Masses in the Glashow-Weinberg-Salam Model, Phys. Rev. D 27 (1983) 1679 [INSPIRE].
M. Lindner, Implications of Triviality for the Standard Model, Z. Phys. C 31 (1986) 295 [INSPIRE].
M. Sher, Electroweak Higgs Potentials and Vacuum Stability, Phys. Rept. 179 (1989) 273 [INSPIRE].
M. Lindner, M. Sher and H.W. Zaglauer, Probing Vacuum Stability Bounds at the Fermilab Collider, Phys. Lett. B 228 (1989) 139 [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].
M. Sher, Precise vacuum stability bound in the standard model, Phys. Lett. B 317 (1993) 159 [hep-ph/9307342] [INSPIRE].
G. Altarelli and G. Isidori, Lower limit on the Higgs mass in the standard model: An Update, Phys. Lett. B 337 (1994) 141 [INSPIRE].
J.A. Casas, J.R. Espinosa and M. Quirós, Improved Higgs mass stability bound in the standard model and implications for supersymmetry, Phys. Lett. B 342 (1995) 171 [hep-ph/9409458] [INSPIRE].
J.A. Casas, J.R. Espinosa and M. Quirós, Standard model stability bounds for new physics within LHC reach, Phys. Lett. B 382 (1996) 374 [hep-ph/9603227] [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].
B.-H. Lee and W. Lee, Vacuum bubbles in a de Sitter background and black hole pair creation, Class. Quant. Grav. 26 (2009) 225002 [arXiv:0809.4907] [INSPIRE].
B.-H. Lee, W. Lee, C. Oh, D. Ro and D.-h. Yeom, Fubini instantons in curved space, JHEP 06 (2013) 003 [arXiv:1204.1521] [INSPIRE].
B.-H. Lee, W. Lee, D. Ro and D.-h. Yeom, Oscillating Fubini instantons in curved space, Phys. Rev. D 91 (2015) 124044 [arXiv:1409.3935] [INSPIRE].
M.S. Turner and F. Wilczek, Is our vacuum metastable?, Nature 298 (1982) 633 [INSPIRE].
P. Hut and M.J. Rees, How stable is our vacuum?, Nature 302 (1983) 508 [INSPIRE].
G. Degrassi et al., Higgs mass and vacuum stability in the Standard Model at NNLO, JHEP 08 (2012) 098 [arXiv:1205.6497] [INSPIRE].
B. Garbrecht and P. Millington, Green’s function method for handling radiative effects on false vacuum decay, Phys. Rev. D 91 (2015) 105021 [arXiv:1501.07466] [INSPIRE].
B. Grinstein and C.W. Murphy, Semiclassical Approach to Heterogeneous Vacuum Decay, JHEP 12 (2015) 063 [arXiv:1509.05405] [INSPIRE].
B. Garbrecht and P. Millington, Self-consistent radiative corrections to false vacuum decay, J. Phys. Conf. Ser. 873 (2017) 012041 [arXiv:1703.05417] [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].
N. Khan and S. Rakshit, Study of electroweak vacuum metastability with a singlet scalar dark matter, Phys. Rev. D 90 (2014) 113008 [arXiv:1407.6015] [INSPIRE].
M. Herranen, T. Markkanen, S. Nurmi and A. Rajantie, Spacetime curvature and Higgs stability after inflation, Phys. Rev. Lett. 115 (2015) 241301 [arXiv:1506.04065] [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].
L.A. Anchordoqui et al., Majorana dark matter through the Higgs portal under the vacuum stability lamppost, Phys. Rev. D 92 (2015) 063504 [arXiv:1506.04702] [INSPIRE].
F. Kahlhoefer and J. McDonald, WIMP Dark Matter and Unitarity-Conserving Inflation via a Gauge Singlet Scalar, JCAP 11 (2015) 015 [arXiv:1507.03600] [INSPIRE].
Y. Ema, K. Mukaida and K. Nakayama, Fate of Electroweak Vacuum during Preheating, JCAP 10 (2016) 043 [arXiv:1602.00483] [INSPIRE].
Y. Ema, K. Mukaida and K. Nakayama, Electroweak Vacuum Stabilized by Moduli during/after Inflation, Phys. Lett. B 761 (2016) 419 [arXiv:1605.07342] [INSPIRE].
N. Okada and D. Raut, Running non-minimal inflation with stabilized inflaton potential, Eur. Phys. J. C 77 (2017) 247 [arXiv:1509.04439] [INSPIRE].
K. Urbanowski, Properties of the false vacuum as a quantum unstable state, Theor. Math. Phys. 190 (2017) 458 [arXiv:1609.03382] [INSPIRE].
A. Stachowski, M. Szydlowski and K. Urbanowski, Cosmological implications of the transition from the false vacuum to the true vacuum state, Eur. Phys. J. C 77 (2017) 357 [arXiv:1609.09828] [INSPIRE].
D. Buttazzo et al., Investigating the near-criticality of the Higgs boson, JHEP 12 (2013) 089 [arXiv:1307.3536] [INSPIRE].
L.N. Mihaila, J. Salomon and M. Steinhauser, Gauge Coupling β-functions in the Standard Model to Three Loops, Phys. Rev. Lett. 108 (2012) 151602 [arXiv:1201.5868] [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].
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].
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 A. Platania, Top mass determination, Higgs inflation and vacuum stability, JHEP 09 (2014) 182 [arXiv:1407.4112] [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].
N. Haba, H. Ishida, R. Takahashi and Y. Yamaguchi, Hierarchy problem, gauge coupling unification at the Planck scale and vacuum stability, Nucl. Phys. B 900 (2015) 244 [arXiv:1412.8230] [INSPIRE].
P.M. Ferreira and B. Swiezewska, One-loop contributions to neutral minima in the inert doublet model, JHEP 04 (2016) 099 [arXiv:1511.02879] [INSPIRE].
V. Branchina and E. Messina, Stability and UV completion of the Standard Model, Europhys. Lett. 117 (2017) 61002 [arXiv:1507.08812] [INSPIRE].
N. Chakrabarty and B. Mukhopadhyaya, High-scale validity of a two Higgs doublet scenario: metastability included, Eur. Phys. J. C 77 (2017) 153 [arXiv:1603.05883] [INSPIRE].
A. Andreassen, W. Frost and M.D. Schwartz, Consistent Use of the Standard Model Effective Potential, Phys. Rev. Lett. 113 (2014) 241801 [arXiv:1408.0292] [INSPIRE].
L. Di Luzio and L. Mihaila, On the gauge dependence of the Standard Model vacuum instability scale, JHEP 06 (2014) 079 [arXiv:1404.7450] [INSPIRE].
A. Andreassen, W. Frost and M.D. Schwartz, Consistent Use of Effective Potentials, Phys. Rev. D 91 (2015) 016009 [arXiv:1408.0287] [INSPIRE].
M. Endo, T. Moroi, M.M. Nojiri and Y. Shoji, False Vacuum Decay in Gauge Theory, JHEP 11 (2017) 074 [arXiv:1704.03492] [INSPIRE].
A. Andreassen, W. Frost and M.D. Schwartz, Scale Invariant Instantons and the Complete Lifetime of the Standard Model, arXiv:1707.08124 [INSPIRE].
S. Chigusa, T. Moroi and Y. Shoji, State-of-the-Art Calculation of the Decay Rate of Electroweak Vacuum in Standard Model, Phys. Rev. Lett. 119 (2017) 211801 [arXiv:1707.09301] [INSPIRE].
T. Banks, C.M. Bender and T.T. Wu, Coupled anharmonic oscillators. I. Equal mass case, Phys. Rev. D 8 (1973) 3346 [INSPIRE].
C.M. Bender, Coupled anharmonic oscillators. II. Unequal-mass case, Phys. Rev. D 8 (1973) 3366 [INSPIRE].
S.R. Coleman, The Fate of the False Vacuum. I. 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. II. 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].
ATLAS and CMS collaborations, Combined Measurement of the Higgs Boson Mass in pp Collisions at \( \sqrt{s}=7 \) and 8 TeV with the ATLAS and CMS Experiments, Phys. Rev. Lett. 114 (2015) 191803 [arXiv:1503.07589] [INSPIRE].
ATLAS, CDF, CMS and D0 collaborations, First combination of Tevatron and LHC measurements of the top-quark mass, arXiv:1403.4427 [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].
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].
V. Branchina, E. Messina and D. Zappalà, Impact of Gravity on Vacuum Stability, Europhys. Lett. 116 (2016) 21001 [arXiv:1601.06963] [INSPIRE].
A. Rajantie and S. Stopyra, Standard Model vacuum decay with gravity, Phys. Rev. D 95 (2017) 025008 [arXiv:1606.00849] [INSPIRE].
A. Aguirre, T. Banks and M. Johnson, Regulating eternal inflation. II. The Great divide, JHEP 08 (2006) 065 [hep-th/0603107] [INSPIRE].
R. Bousso, B. Freivogel and M. Lippert, Probabilities in the landscape: The Decay of nearly flat space, Phys. Rev. D 74 (2006) 046008 [hep-th/0603105] [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].
Y. Goto and K. Okuyama, Numerical analysis of Coleman-de Luccia tunneling, Int. J. Mod. Phys. A 31 (2016) 1650131 [arXiv:1601.07632] [INSPIRE].
S.R. Coleman and E.J. Weinberg, Radiative Corrections as the Origin of Spontaneous Symmetry Breaking, Phys. Rev. D 7 (1973) 1888 [INSPIRE].
O. Antipin, M. Gillioz, J. Krog, E. Mølgaard and F. Sannino, Standard Model Vacuum Stability and Weyl Consistency Conditions, JHEP 08 (2013) 034 [arXiv:1306.3234] [INSPIRE].
P. Burda, R. Gregory and I. Moss, The fate of the Higgs vacuum, JHEP 06 (2016) 025 [arXiv:1601.02152] [INSPIRE].
J.R. Espinosa et al., The cosmological Higgstory of the vacuum instability, JHEP 09 (2015) 174 [arXiv:1505.04825] [INSPIRE].
P.Q. Hung and M. Sher, Implications of a Higgs discovery at LEP, Phys. Lett. B 374 (1996) 138 [hep-ph/9512313] [INSPIRE].
J.A. Casas, V. Di Clemente and M. Quirós, The Standard model instability and the scale of new physics, Nucl. Phys. B 581 (2000) 61 [hep-ph/0002205] [INSPIRE].
J.R. Espinosa et al., The cosmological Higgstory of the vacuum instability, JHEP 09 (2015) 174 [arXiv:1505.04825] [INSPIRE].
F. Loebbert and J. Plefka, Quantum Gravitational Contributions to the Standard Model Effective Potential and Vacuum Stability, Mod. Phys. Lett. A 30 (2015) 1550189 [arXiv:1502.03093] [INSPIRE].
E. Bentivegna, V. Branchina, F. Contino and D. Zappalà, work in progress.
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Bentivegna, E., Branchina, V., Contino, F. et al. Impact of new physics on the EW vacuum stability in a curved spacetime background. J. High Energ. Phys. 2017, 100 (2017). https://doi.org/10.1007/JHEP12(2017)100
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DOI: https://doi.org/10.1007/JHEP12(2017)100