Solving recurrence relations for multiloop integrals in the limit of large values of the dimensional regularization parameter

Abstract: A method for calculating the $1/d$ expansion coefficients for solutions of integration by parts relations for Feynman integrals is presented. The idea is to use linear substitutions to transform these relations to an explicitly recursive form. The possibility of such a transformation is demonstrated for several families of massless (with one massive line) vacuum integrals up to the 7-loop level.