# Two-point correlators in non-conformal $\mathcal{N}=2$ gauge theories

## TL;DR

This paper computes two-point correlators in N=2 supersymmetric gauge theories, demonstrating agreement between perturbative and localization methods even when the theories are non-conformal, thus providing insights into non-conformal supersymmetric dynamics.

## Contribution

It presents a detailed two-loop perturbative calculation of correlators and compares them with localization results in non-conformal N=2 theories, extending previous conformal case analyses.

## Key findings

- Perturbative and localization results agree for dimensionless ratios.
- Agreement holds even when the theory is non-conformal ($N_f
eq 2N$).
- Two-loop calculations confirm the robustness of localization in non-conformal settings.

## Abstract

We study the two-point correlation functions of chiral/anti-chiral operators in $N=2$ supersymmetric Yang-Mills theories on $R^4$ with gauge group SU(N) and $N_f$ massless hypermultiplets in the fundamental representation. We compute them in perturbation theory, using dimensional regularization up to two loops, and show that field-theory observables built out of dimensionless ratios of two-point renormalized correlators on $R^4$ are in perfect agreement with the same quantities computed using localization on the four-sphere, even in the non-conformal case $N_f\not=2N$.