Two-loop RG functions of the massive $ϕ^4$ field theory in general dimensions

Two-loop Feynman integrals of the massive $ϕ^4_d$ field theory are explicitly obtained for generic space dimensions $d$. Corresponding renormalization-group functions are expressed in a compact form in terms of Gauss hypergeometric functions. A number of interesting and useful relations is given for these integrals as well as for several special mathematical functions and constants.

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