We present the analytic computation of the master integrals associated to certain two-loop non-planar topologies, which are needed to complete the evaluation of the last two color coefficients for the top-pair production in the quark-annihilation channel, which are not yet known analytically. The master integrals have been computed exploiting the differential equations method in canonical form. The solution is given as a series expansion in the dimensional regularization parameter through to weight four, the expansion coefficients are given in terms of multiple polylogarithms.
Two-loop non-planar master integrals for top-pair production in the quark-annihilation channel / Becchetti M.; Bonciani R.; Casconi V.; Ferroglia A.; Lavacca S.; von Manteuffel A.. - In: POS PROCEEDINGS OF SCIENCE. - ISSN 1824-8039. - ELETTRONICO. - 375:(2019), pp. 0-0. ( 14th International Symposium on Radiative Corrections, RADCOR 2019 fra 2019).
Two-loop non-planar master integrals for top-pair production in the quark-annihilation channel
Bonciani R.;
2019
Abstract
We present the analytic computation of the master integrals associated to certain two-loop non-planar topologies, which are needed to complete the evaluation of the last two color coefficients for the top-pair production in the quark-annihilation channel, which are not yet known analytically. The master integrals have been computed exploiting the differential equations method in canonical form. The solution is given as a series expansion in the dimensional regularization parameter through to weight four, the expansion coefficients are given in terms of multiple polylogarithms.
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