Two-point correlators in non-conformal $ \mathcal{N} $ = 2 gauge theories
Résumé
We study the two-point correlation functions of chiral/anti-chiral operators in $ \mathcal{N} $ = 2 supersymmetric Yang-Mills theories on $ \mathbb{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}^{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.