Algorithm for differential equations for Feynman integrals in general dimensions
L de la Cruz, P Vanhove - Letters in Mathematical Physics, 2024 - Springer
We present an algorithm for determining the minimal order differential equations associated
with a given Feynman integral in dimensional or analytic regularisation. The algorithm is an …
with a given Feynman integral in dimensional or analytic regularisation. The algorithm is an …
[PDF][PDF] Differential equations and Motives of Feynman integrals
P Vanhove - 2024 - pierrevanhove.github.io
In this text• We review the arguments why Feynman integrals are relative motivic periods.
We illustrate this by giving the Hodge structure of some of some Feynman graph• We …
We illustrate this by giving the Hodge structure of some of some Feynman graph• We …
[PDF][PDF] Picard-Fuchs Equations of Twisted Differential forms associated to Feynman Integrals
P Vanhove - pierrevanhove.github.io
Dimensionally or analytically regulated Feynman integrals led to relative twisted period
integrals. We present a recent extension of the Griffiths-Dwork pole reduction algorithm for …
integrals. We present a recent extension of the Griffiths-Dwork pole reduction algorithm for …