Improving integration-by-parts and differential equations
Iris Bree, Federico Gasparotto, Antonela Matija\v{s}i\'c, Pouria Mazloumi, Dmytro Melnichenko, Sebastian P\"ogel, Toni Teschke, Xing Wang, Stefan Weinzierl, Konglong Wu, Xiaofeng Xu
TL;DR
This paper presents a geometric approach to enhance the reduction of Feynman integrals and the construction of epsilon-factorized differential equations, providing a systematic method applicable to any Feynman integral.
Contribution
It introduces a systematic geometric procedure to obtain epsilon-factorized differential equations for Feynman integrals, improving existing reduction techniques.
Findings
Systematic geometric method for epsilon-factorization
Enhanced Feynman integral reduction techniques
Applicable to any Feynman integral
Abstract
In this talk, we discuss how ideas from geometry help to improve Feynman integral reduction and the construction of -factorised differential equations. In particular, we outline a systematic procedure to obtain an -factorised differential equation for any Feynman integral.
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Taxonomy
TopicsPolynomial and algebraic computation · Algebraic and Geometric Analysis · advanced mathematical theories