# Renormalization in Nonminimal Lorentz-Violating Field Theory

## TL;DR

This paper explores the renormalization process in a nonminimal Lorentz-violating scalar-fermion model with dimension-five operators, showing some divergences are reduced and the scalar mass is modified.

## Contribution

It is the first to analyze renormalization in a nonminimal Lorentz-violating model with specific higher-dimension operators, providing explicit radiative correction calculations.

## Key findings

- Some divergences are improved and become finite.
- The scalar pole mass is modified, affecting asymptotic states.
- Radiative corrections are explicitly computed for the scalar self-energy.

## Abstract

We provide the first step towards renormalization in a nonminimal Lorentz-violating model consisting of normal scalars and modified fermions with mass dimension five operators. We compute the radiative corrections corresponding to the scalar self-energy, and we show that some divergencies are improved and in the scalar sector they are finite. The pole mass of the scalar two-point function is found and shown to lead to modifications of asymptotic states.