# A $Sim(2)$ invariant dimensional regularization

## TL;DR

This paper presents a new dimensional regularization method invariant under $Sim(2)$ symmetry and applies it to compute one-loop quantum corrections in the VSRSM, advancing the understanding of quantum effects in this framework.

## Contribution

It introduces a $Sim(2)$ invariant dimensional regularization technique and applies it to calculate quantum corrections in the VSRSM.

## Key findings

- Successfully computed one-loop corrections to photon, electron self energies, and vertex.
- Demonstrated the regularization method's consistency with $Sim(2)$ symmetry.
- Provided a new tool for quantum calculations in Very Special Relativity models.

## Abstract

We introduce a $Sim(2)$ invariant dimensional regularization of loop integrals. Then we compute the one loop quantum corrections to the photon self energy, electron self energy and vertex in the Electrodynamics sector of the Very Special Relativity Standard Model(VSRSM).