RT Journal Article T1 Higgs effective potential in a perturbed Robertson-Walker background A1 López Maroto, Antonio A1 Prada, Francisco AB We calculate the one-loop effective potential of a scalar field in a Robertson-Walker background with scalar metric perturbations. A complete set of orthonormal solutions of the perturbed equations is obtained by using the adiabatic approximation for comoving observers. After analyzing the problem of renormalization in inhomogeneous backgrounds, we get the explicit contribution of metric perturbations to the effective potential. We apply these results to the Standard Model Higgs field and evaluate the effects of metric perturbations on the Higgs mass and on its vacuum expectation value. Space-time variations are found, which are proportional to the gravitational slip parameter, with a typical amplitude of the order of Δϕ/ϕ ≃ 10−11 on cosmological scales. We also discuss possible astrophysical signatures in the Solar System and in the MilkyWay that could open new possibilities to explore the symmetry breaking sector of the electroweak interactions. PB American Physical Society SN 1550-7998 YR 2014 FD 2014-12-31 LK https://hdl.handle.net/20.500.14352/33836 UL https://hdl.handle.net/20.500.14352/33836 LA eng NO [1] G. Aad et al. (ATLAS Collaboration), Phys. Lett. B 716, 1 (2012).[2] S. Chatrchyan et al. (CMS Collaboration), Phys. Lett. B 716, 30 (2012).[3] G. Belanger, B. Dumont, U. Ellwanger, J. F. Gunion, and S. Kraml, Phys. Rev. D 88, 075008 (2013).[4] M.V. Marono (for the CMS Collaboration), arXiv:1409.1711.[5] C. Alvarez and R. B. Mann, Phys. Rev. D 54, 5954 (1996); Gen. Relativ. Gravit. 29, 245 (1997).[6] M. Maggiore, Phys. Rev. D 83, 063514 (2011).[7] J. Solá, J. Phys. Conf. Ser. 453, 012015 (2013); Int. J. Mod. Phys. A 29, 1444016 (2014).[8] J. S. Schwinger, Phys. Rev. 82, 914 (1951); B. S. DeWitt, Phys. Rep. 19, 295 (1975); P. C.W. Davies, S. A. Fulling, S. M. Christensen, and T. S. Bunch, Ann. Phys. (N.Y.) 109, 108 (1977); T. S. Bunch and P. C.W. Davies, J. Phys. A 11, 1315 (1978); I. L. Buchbinder, S. D. Odintsov, and I. L. Shapiro, Effective Action in Quantum Gravity (Tomsk Pedagogical Inst., Tomsk, 1992).[9] F. Sobreira, B. J. Ribeiro, and I. L. Shapiro, Phys. Lett. B 705, 273 (2011).[10] M. Asorey, P.M. Lavrov, B. J. Ribeiro, and I. L. Shapiro, Phys. Rev. D 85, 104001 (2012).[11] E. Elizalde and S. D. Odintsov, Phys. Lett. B 303, 240 (1993); Russ. Phys. J. 37, 25 (1994); Phys. Lett. B 321, 199 (1994).[12] L. Parker and S. A. Fulling, Phys. Rev. D 9, 341 (1974); S. A. Fulling and L. Parker, Ann. Phys. (N.Y.) 87, 176 (1974).[13] A. Ringwald, Ann. Phys. (N.Y.) 177, 129 (1987)[14] S. Sinha and B. L. Hu, Phys. Rev. D 38, 2423 (1988).[15] W. H. Huang, Classical Quantum Gravity 10, 2021 (1993).[16] W. H. Huang, Classical Quantum Gravity 8, 83 (1991); Phys. Rev. D 48, 3914 (1993).[17] F. D. Albareti, J. A. R. Cembranos, and A. L. Maroto, Phys. Rev. D 90, 123509 (2014); Int. J. Mod. Phys. D 23, 1442019 (2014).[18] P. O. Kazinski, Phys. Rev. D 80, 124020 (2009).[19] N. D. Birrell and P. C.W. Davies, Quantum Fields in Curved Space (Cambridge University Press, Cambridge, England, 1982).[20] S. R. Coleman and E. J. Weinberg, Phys. Rev. D 7, 1888 (1973).[21] H. Osborn, Nucl. Phys. B363, 486 (1991); I. Jack and H. Osborn, Nucl. Phys. B883, 425 (2014).[22] S. F. Daniel, R. R. Caldwell, A. Cooray, and A. Melchiorri, Phys. Rev. D 77, 103513 (2008).[23] C. M. Will, Living Rev. Relativity 17, 4 (2014).[24] L. Amendola, S. Fogli, A. Guarnizo, M. Kunz, and A. Vollmer, Phys. Rev. D 89, 063538 (2014).[25] G. Ballesteros, L. Hollenstein, R. K. Jain, and M. Kunz, J. Cosmol. Astropart. Phys. 05 (2012) 038.[26] I. D. Saltas, I. Sawicki, L. Amendola, and M. Kunz, Phys. Rev. Lett. 113, 191101 (2014).[27] J. P. Uzan, Living Rev. Relativity 14, 2 (2011).[28] B. Bertotti, L. Iess, and P. Tortora, Nature (London) 425, 374 (2003). NO © 2014 American Physical Society. We would like to thank S. Odintsov and E. Elizalde for useful comments. This work has been supported by MICINN (Spain) Projects No. FIS2011-23000, No. AYA2010-21231-C02-01, Consolider-Ingenio MULTIDARK CSD2009-00064, and Centro de Excelencia Severo Ochoa Programme under Grant No. SEV-2012-0249. NO MICINN (Spain) NO Consolider-Ingenio MULTIDARK CSD2009-00064 NO Centro de Excelencia Severo Ochoa Programme DS Docta Complutense RD 3 may 2024