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Two-loop non-planar master integrals for top-pair production in the quark-annihilation channel

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arxiv 1912.06006 v1 pith:2PBB5XVO submitted 2019-12-12 hep-ph

Two-loop non-planar master integrals for top-pair production in the quark-annihilation channel

classification hep-ph
keywords integralsmasterchannelcoefficientsexpansiongivennon-planarproduction
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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