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arxiv: 1306.3504 · v1 · pith:ZTL4LZ6Ynew · submitted 2013-06-14 · ✦ hep-ph · hep-th

Massive planar and non-planar double box integrals for light Nf contributions to gg->tt

classification ✦ hep-ph hep-th
keywords doubleintegralslightmultiplenon-planarpolylogarithmsresultscalculus
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We present the master integrals needed for the light fermionic two-loop corrections to top quark pair production in the gluon fusion channel. Via the method of differential equations we compute the results in terms of multiple polylogarithms in a Laurent series about d=4, where d is the space-time dimension. The most involved topology is a non-planar double box with one internal mass. We employ the coproduct-augmented symbol calculus and show that significant simplifications are possible for selected results using an optimised set of multiple polylogarithms.

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