English

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

High Energy Physics - Phenomenology 2021-12-09 v1

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.

Keywords

Cite

@article{arxiv.2112.04122,
  title  = {FastGPL: a C++ library for fast evaluation of generalized polylogarithms},
  author = {Yuxuan Wang and Li Lin Yang and Bin Zhou},
  journal= {arXiv preprint arXiv:2112.04122},
  year   = {2021}
}

Comments

17 pages, 2 figures, 4 tables. Code is available at https://github.com/llyang/FastGPL

R2 v1 2026-06-24T08:08:35.653Z