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

Aglietti, Ugo;Del Duca, Vittorio;Duhr, Claude;Somogyi, Gabor;Trocsanyi, Zoltan
(2008) The Journal of High Energy Physics (Online) — Vol. 0809, p. 107 (2008)

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  • Aglietti, Ugo
    Author
  • Del Duca, Vittorio
    Author
  • Duhr, ClaudeUCLouvain
    Author
  • Somogyi, Gabor
    Author
  • Trocsanyi, Zoltan
    Author
Abstract
(en) 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.
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Aglietti, U., Del Duca, V., Duhr, C., Somogyi, G., & Trocsanyi, Z. (2008). Analytic integration of real-virtual counterterms in NNLO jet cross sections. I. The Journal of High Energy Physics (Online), 0809, 107. https://doi.org/10.1088/1126-6708/2008/09/107 (Original work published 2008)