5 papers · 1 filter
CHESS: CHEbyshev pSeudo-Spectral transport for Feynman integral differential equations
Yuanche Liu, Yang Zhang
We present CHESS (CHEbyshev pSeudo Spectrum), a Wolfram Language package for high-precision one-dimensional transport of ε-factorized differential equations for Feynman master inte…
Two-loop Six-point Planar Massless Feynman Integrals to Higher Orders
Yuanche Liu, Antonela Matijašić, Tiziano Peraro +3
In this work, we calculate two-loop six-point planar massless Feynman integrals at higher orders in the dimensional regulator , corresponding to higher transcendental weights. I…
Uncovering Singularities in Feynman Integrals via Machine Learning
Yuanche Liu, Yingxuan Xu, Yang Zhang
We introduce a machine-learning framework based on symbolic regression to extract the full symbol alphabet of multi-loop Feynman integrals. By targeting the analytic structure rath…
Symbolic Reduction of Multi-loop Feynman Integrals via Generating Functions
Bo Feng, Xiang Li, Yuanche Liu +2
We introduce a novel, systematic method for the complete symbolic reduction of multi-loop Feynman integrals, leveraging the power of generating functions. The differential equation…
An Analytic Computation of Three-Loop Five-Point Feynman Integrals
Yuanche Liu, Antonela Matijašić, Julian Miczajka +3
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 com…