Eur. Phys. J. C (2020) 80: 459
https://doi.org/10.1140/epjc/s10052-020-8000-0

Regular Article - Theoretical Physics

Radiative corrections and Lorentz violation

¹ Universidade Federal do ABC, Centro de Ciências Naturais e Humanas, Rua Santa Adélia, 166, Santo André, SP, 09210-170, Brazil
² Indiana University Center for Spacetime Symmetries, Indiana University, Bloomington, IN, 47405-7105, USA
³ Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970, João Pessoa, Paraíba, Brazil

^* e-mail: alysson.ferrari@ufabc.edu.br

Received: 22 November 2019
Accepted: 2 May 2020
Published online: 22 May 2020

Abstract

Radiative corrections in Lorentz violating (LV) models have already received a lot of attention in the literature in recent years, with many instances where a LV operator in one sector of the Standard Model Extension (SME) generates, via loop corrections, one of the LV coefficients in the photon sector, which is probably the most understood and well constrained part of the SME. In many of these works, however, the now standard notation of the SME is not used, which can obscure the comparison of different results, and their possible phenomenological relevance. In this work, we fill this gap, trying to build up a more general perspective on the topic, bringing many of the results to the SME conventional notation and commenting on their possible phenomenological relevance. We uncover one example where a result already presented in the literature can be used to place a stronger bound on the temporal component of the coefficient of the fermion sector of the SME.