On correlators in $T\bar{T}$-deformed conformal field theories

Abstract: This paper is our contribution to the study of $T\bar{T}$-deformations. We consider the effect of $T\bar{T}$-deformation of conformal field theories in perturbation theory. We use dimensional regularization scheme to perturbatively calculate the effect of the $T\bar{T}$-deformation on the correlation functions of the CFT's primary fields. We provide the renormalization of the fields for the case of two-point correlation function.