NSVZ-like scheme for the photino mass in softly broken ${\cal N}=1$ SQED regularized by higher derivatives

TL;DR

This paper develops a subtraction scheme using higher derivative regularization that ensures the NSVZ-like relation for the photino mass's anomalous dimension in softly broken ${ m N}=1$ SQED, valid at all loop orders.

Contribution

It introduces a renormalization prescription with boundary conditions that fixes finite counterterms, maintaining the NSVZ-like relation at all perturbative orders.

Findings

The scheme guarantees the NSVZ-like relation for the photino mass.

It provides a simple boundary condition-based renormalization prescription.

The approach is applicable to all loops in softly broken ${ m N}=1$ SQED.

Abstract

In the case of using the higher derivative regularization we construct the subtraction scheme which gives the NSVZ-like relation for the anomalous dimension of the photino mass in softly broken ${\cal N}=1$ SQED with $N_f$ flavors in all loops. The corresponding renormalization prescription is determined by simple boundary conditions imposed on the renormalization constants. It allows fixing an arbitrariness of choosing finite counterterms in every order of the perturbation theory in such a way that the renormalization group functions defined in terms of the renormalized coupling constant satisfy the NSVZ-like relation.