7 papers
New algorithms for Feynman integral reduction and -factorised differential equations
Iris Bree, Federico Gasparotto, Antonela MatijaÅ¡iÄ +8
In this paper, we give a detailed account of the algorithm outlined in [1] for Feynman integral reduction and -factorised differential equations. The algorithm consist…
The geometric bookkeeping guide to Feynman integral reduction and -factorised differential equations
Iris Bree, Federico Gasparotto, Antonela MatijaÅ¡iÄ +8
We report on three improvements in the context of Feynman integral reduction and -factorised differential equations: Firstly, we show that with a specific choice of pr…
An algorithm towards -factorising Feynman Integrals
epsilon-collaboration, :, Iris Bree +10
In this talk, we use several examples to elaborate on how a recently proposed algorithm can turn non-trivial Feynman integrals into an -factorised manner, regardless…
Improving integration-by-parts and differential equations
Iris Bree, Federico Gasparotto, Antonela MatijaÅ¡iÄ +8
In this talk, we discuss how ideas from geometry help to improve Feynman integral reduction and the construction of -factorised differential equations. In particular,…
Self-dualities and Galois symmetries in Feynman integrals
Sebastian Pögel, Xing Wang, Stefan Weinzierl +2
It is well-known that all Feynman integrals within a given family can be expressed as a finite linear combination of master integrals. The master integrals naturally group into sec…
The off-shell expansion relation of the Yang-Mills scalar theory
Yi-Xiao Tao, Konglong Wu
In this work, we investigated the off-shell expansion relation of the Yang-Mills scalar theory. We explicitly showed that the single-trace Berends-Giele currents in the Yang-Mills…