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Connection between Feynman integrals having different values of the space-time dimension
A systematic algorithm for obtaining recurrence relations for dimensionally regularized Feynman integrals with respect to the space-time dimension $d$ is proposed. The relation between $d$- and ($d\ensuremath{-}2$)-dimensional integrals is given in terms of a differential operator for which an explicit formula can be obtained for each Feynman diagram. We show …