Gravitational perturbations of the Higgs field

DOI: 
10.1103/PhysRevD.95.044030
Publication date: 
01/02/2017
Main author: 
Albareti, Franco D.
IAA authors: 
Prada, Francisco
Authors: 
Albareti, Franco D.;Maroto, Antonio L.;Prada, Francisco
Journal: 
Physical Review D
Refereed: 
Yes
Publication type: 
Article
Volume: 
95
Pages: 
044030
Abstract: 

We study the possible effects of classical gravitational backgrounds on the Higgs field through the modifications induced in the one-loop effective potential and the vacuum expectation value of the energy-momentum tensor. We concentrate our study on the Higgs self-interaction contribution in a perturbed FRW metric. For weak and slowly varying gravitational fields, a complete set of mode solutions for the Klein-Gordon equation is obtained to leading order in the adiabatic approximation. Dimensional regularization has been used in the integral evaluation, and a detailed study of the integration of nonrational functions in this formalism has been presented. As expected, the regularized effective potential contains the same divergences as in flat spacetime, which can be renormalized without the need of additional counterterms. We find that, in contrast with other regularization methods, even though metric perturbations affect the mode solutions, they do not contribute to the leading adiabatic order of the potential. We also obtain explicit expressions of the complete energy-momentum tensor for general nonminimal coupling in terms of the perturbed modes. The corresponding leading adiabatic contributions are also obtained.

Database: 
ADS
SCOPUS
URL: 
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85021659041&doi=10.1103%2fPhysRevD.95.044030&partnerID=40&md5=990fda34acb90c3643bdf610af4b7f48
ADS Bibcode: 
2017PhRvD..95d4030A
Keywords: 
High Energy Physics - Phenomenology;Astrophysics - Cosmology and Nongalactic Astrophysics;General Relativity and Quantum Cosmology