Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-07-03
JHEP 0809:107,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
Scientific paper
10.1088/1126-6708/2008/09/107
We present analytic evaluations of some integrals needed to give explicitly the integrated real-virtual integrated counterterms, based on a recently proposed subtraction scheme for next-to-next-to-leading order (NNLO) jet cross sections. After an algebraic reduction of the integrals, integration-by-parts identities are used for the reduction to master integrals and for the computation of the master integrals themselves by means of differential equations. The results are written in terms of one- and two-dimensional harmonic polylogarithms, once an extension of the standard basis is made. We expect that the techniques described here will be useful in computing other integrals emerging in calculations in perturbative quantum field theories.
Aglietti Ugo
Duca Vittorio Del
Duhr Claude
Somogyi Gábor
Trocsanyi Zoltan
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