Finite Cutoff CFT's and Composite Operators

Recently a conformally invariant action describing the Wilson-Fisher fixed point in D=4−ϵ dimensions presence of finite UV cutoff was constructed [44]. In present paper we construct two composite operator perturbations this with definite scaling dimension also cutoff. Thus (as well as action) is defined at all momenta 0≤p≤∞ and low energies they reduce to ∫xϕ2 ∫xϕ4 respectively. The construction includes terms up O(ϵ2). mix higher order ∫xϕn operators. are calculated agree known results.