One-loop divergences of effective action in $6D,\, {\cal N}=(1,0)$ supersymmetric four-derivative gauge theory

TL;DR

This paper investigates the one-loop divergences in a six-dimensional ${ m N}=(1,0)$ supersymmetric gauge theory with higher derivatives, revealing that UV divergences are governed by the higher-derivative terms in the gauge sector.

Contribution

It provides a detailed analysis of one-loop divergences in 6D ${ m N}=(1,0)$ supersymmetric higher-derivative gauge theories using harmonic superspace and dimensional regularization.

Findings

UV divergences are dominated by higher-derivative terms in the gauge sector

The background superfield method effectively analyzes divergences in supersymmetric theories

Higher-derivative terms influence the ultraviolet behavior of the theory

Abstract

We consider six-dimensional higher-derivative ${\cal N}=(1,0)$ supersymmetric gauge theory coupled with the hypermultiplet. We use the background superfield method in six-dimensional ${\cal N}=(1,0)$ harmonic superspace to study the effective action in the theory. Using the dimensional regularization scheme we analyze the one-loop divergent contributions to the effective action. We demonstrate that UV behaviour is determined by the higher-derivative term for gauge multiplet sector.