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

Abstract

Abstract We study the two-point correlation functions of chiral/anti-chiral operators in $$ \mathcal{N} $$ N = 2 supersymmetric Yang-Mills theories on $$ \mathbb{R} $$ 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 $$ \mathbb{R} $$ 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 ≠ 2N.