activity
20172026
most citedA Systematic and Efficient Method to Compute Multi-loop Master Integrals

216 citations · 465 across the 7 of their papers we have counts for

collaborators

7 papers

hep-ph2026

AMFlow 2.0: significant algorithmic and software improvements for Feynman integral evaluation

Rui-Jun Huang, Xiao Liu, Yan-Qing Ma

We present significant improvements to the AMFlow package for the numerical computation of dimensionally regularized Feynman integrals. Several new features are introduced to reduc…

hep-ph2024★ 3 cited

Blade: A package for block-triangular form improved Feynman integrals decomposition

Xin Guan, Xiao Liu, Yan-Qing Ma +1

In this article, we present the package {\tt Blade} as the first implementation of the block-triangular form improved Feynman integral reduction method. The block-triangular form h…

hep-ph2021★ 97 cited

Multiloop corrections for collider processes using auxiliary mass flow

Xiao Liu, Yan-Qing Ma

With a key improvement, the auxiliary mass flow method is now able to compute Feynman integrals encountered in cutting-edge collider processes. We have successfully applied it to c…

hep-ph2020★ 48 cited

Calculation of Feynman loop integration and phase-space integration via auxiliary mass flow

Xiao Liu, Yan-Qing Ma, Wei Tao +1

We extend the auxiliary-mass-flow (AMF) method originally developed for Feynman loop integration to calculate integrals involving also phase-space integration. Flow of the auxiliar…

hep-ph2018★ 40 cited

Semi-analytical calculation of gluon fragmentation into quarkonia at next-to-leading order

Peng Zhang, Chen-Yu Wang, Xiao Liu +3

We calculate the NLO corrections for the gluon fragmentation functions to a heavy quark-antiquark pair in or s…

hep-ph2018★ 61 cited

Determine Arbitrary Feynman Integrals by Vacuum Integrals

Xiao Liu, Yan-Qing Ma

By introducing an auxiliary parameter, we find a new representation for Feynman integrals, which defines a Feynman integral by analytical continuation of a series containing only v…

hep-ph2017★ 216 cited

A Systematic and Efficient Method to Compute Multi-loop Master Integrals

Xiao Liu, Yan-Qing Ma, Chen-Yu Wang

We propose a novel method to compute multi-loop master integrals by constructing and numerically solving a system of ordinary differential equations, with almost trivial boundary c…