We present analytic evaluations of some integrals needed to give explicitly the integrated real-virtual 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.
Analytic integration of real-virtual counterterms in NNLO jet cross sections. I / Aglietti, Ugo Giuseppe; V., DEL DUCA; C., Duhr; G., Somogyi; Z., Trocsanyi. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1126-6708. - 2008:9(2008), pp. 1-141. [10.1088/1126-6708/2008/09/107]
Analytic integration of real-virtual counterterms in NNLO jet cross sections. I
AGLIETTI, Ugo Giuseppe;
2008
Abstract
We present analytic evaluations of some integrals needed to give explicitly the integrated real-virtual 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.