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arXiv · 1806.04981

Analytic results for the planar double box integral relevant to top-pair production with a closed top loop

Luise Adams·Ekta Chaubey·Stefan Weinzierl
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Abstract

In this article we give the details on the analytic calculation of the master integrals for the planar double box integral relevant to top-pair production with a closed top loop. We show that these integrals can be computed systematically to all order in the dimensional regularisation parameter $\varepsilon$. This is done by transforming the system of differential equations into a form linear in $\varepsilon$, where the $\varepsilon^0$-part is a strictly lower triangular matrix. Explicit results in terms of iterated integrals are presented for the terms relevant to NNLO calculations.

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Luise Adams, Ekta Chaubey, Stefan Weinzierl. 2018-10-26. Analytic results for the planar double box integral relevant to top-pair production with a closed top loop. https://doi.org/10.1007/jhep10(2018)206

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