Asymptotic behavior of renormalization constants in higher orders of the perturbation expansion for the (4-ε)-dimensionally regularized O(n)-symmetric φ4 theory

Higher-order asymptotic expansions for renormalization constants and critical exponents of the O(n)symmetric phi (4) theory are found based on the instanton approach in the minimal subtraction scheme for the (4-epsilon)-dimensional regularization. The exactly known expansion terms differ substantially from their asymptotic valises, We find expressions that improve the asymptotic expansions for unknown expansion terms of the renormalization constants.