  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.
