Two-loop Feynman integrals for φ4 theory with long-range correlated disorder

Abstract

Two-loop massive Feynman integrals for φ4 field-theoretical model with long-range correlated disorder are considered. Massive integrals for the vertex function (4) including two or three massless propagators for generic space dimension and for any value of the correlation parameter are evaluated analytically applying Mellin-Barnes method as well as familiar representation for one-loop integrals. Obtained expressions are presented in the form of hypergeometric functions.

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