Analytic integration of real-virtual counterterms in NNLO jet cross sections II

Abstract

We present analytic expressions of all integrals required to complete the explicit evaluation of the real-virtual integrated counterterms needed to define a recently proposed subtraction scheme for jet cross sections at next-to-next-to-leading order in QCD. We use the Mellin-Barnes representation of these integrals in $4-2\epsilon$ dimensions to obtain the coefficients of their Laurent expansions around $\epsilon=0$. These coefficients are given by linear combinations of multidimensional Mellin-Barnes integrals. We compute the coefficients of such expansions in $\epsilon$ both numerically and analytically by complex integration over the Mellin-Barnes contours.