An Analytic Computation of Three-Loop Five-Point Feynman Integrals
High Energy Physics - Phenomenology
2025-01-15 v2 High Energy Physics - Theory
Abstract
We evaluate the three-loop five-point pentagon-box-box massless integral family in the dimensional regularization scheme, via canonical differential equation. We use tools from computational algebraic geometry to enable the necessary integral reductions. The boundary values of the differential equation are determined analytically in the Euclidean region. To express the final result, we introduce a new representation of weight six functions in terms of one-fold integrals over the product of weight-three functions with weight-two kernels that are derived from the differential equation. Our work paves the way to the analytic computation of three-loop multi-leg Feynman integrals.
Cite
@article{arxiv.2411.18697,
title = {An Analytic Computation of Three-Loop Five-Point Feynman Integrals},
author = {Yuanche Liu and Antonela Matijašić and Julian Miczajka and Yingxuan Xu and Yongqun Xu and Yang Zhang},
journal= {arXiv preprint arXiv:2411.18697},
year = {2025}
}
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