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arXiv · 2112.04122

FastGPL: a C++ library for fast evaluation of generalized polylogarithms

Yuxuan Wang·Li Lin Yang·Bin Zhou
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Abstract

We present FastGPL, a C++ library for the fast evaluation of generalized polylogarithms which appear in many multi-loop Feynman integrals. We implement the iterative algorithm proposed by Vollinga and Weinzierl in a two-step approach, i.e., we generate concise expressions using an external program and hard-code them into the numeric library. This allows efficient and accurate numeric evaluations of generalized polylogarithms suitable for Monte Carlo integration and event generation. Floating-point arithmetics are carefully taken care of to avoid loss of accuracy. As an application and demonstration, we calculate the two-loop corrections for Higgs boson production in the vector boson fusion channel at electron-positron colliders. FastGPL is expected to be useful for event generators at the next-to-next-to-leading order accuracy.

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Yuxuan Wang, Li Lin Yang, Bin Zhou. 2021-12-08. FastGPL: a C++ library for fast evaluation of generalized polylogarithms. https://arxiv.org/abs/2112.04122

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