English

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

High Energy Physics - Phenomenology 2009-09-28 v1

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 42ϵ4-2\epsilon dimensions to obtain the coefficients of their Laurent expansions around ϵ=0\epsilon=0. These coefficients are given by linear combinations of multidimensional Mellin-Barnes integrals. We compute the coefficients of such expansions in ϵ\epsilon both numerically and analytically by complex integration over the Mellin-Barnes contours.

Keywords

Cite

@article{arxiv.0905.4390,
  title  = {Analytic integration of real-virtual counterterms in NNLO jet cross sections II},
  author = {P. Bolzoni and S. Moch and G. Somogyi and Z. Trocsanyi},
  journal= {arXiv preprint arXiv:0905.4390},
  year   = {2009}
}

Comments

27 pages, 6 figures