# Radiative corrections and Lorentz violation

## TL;DR

This paper reviews radiative corrections in Lorentz-violating models within the Standard Model Extension, standardizes notation, and discusses phenomenological implications, including tighter bounds on SME coefficients.

## Contribution

It provides a unified perspective on radiative corrections in SME, using conventional notation and analyzing their phenomenological relevance.

## Key findings

- Recast previous results in SME notation for better comparison.
- Identified a stronger bound on the temporal component of the b_{} coefficient.
- Clarified the role of loop corrections in generating SME coefficients.

## 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 b_{\mu} coefficient of the fermion sector of the SME.