10 citations · 16 across the 6 of their papers we have counts for
6 papers
Intersection theory and canonical differential equations
Claude Duhr, Sara Maggio, Franziska Porkert +3
In these proceedings we will review recent progress in applying ideas from the mathematical framework of twisted cohomology to the study of canonical differential equations for Fey…
Elliptic modular graph forms, equivariant iterated integrals and single-valued elliptic polylogarithms
Oliver Schlotterer, Yoann Sohnle, Yi-Xiao Tao
The low-energy expansion of genus-one string amplitudes produces infinite families of non-holomorphic modular forms after each step of integrating over a point on the torus worldsh…
Canonical differential equations and intersection matrices
Claude Duhr, Sara Maggio, Franziska Porkert +3
Differential equations are one of the main approaches to evaluate multi-loop Feynman integrals. The construction of a canonical or -factorised basis for multi-loop int…
On canonical differential equations for Calabi-Yau multi-scale Feynman integrals
Sara Maggio, Yoann Sohnle
We generalise a method recently introduced in the literature, that derives canonical differential equations, to multi-scale Feynman integrals with an underlying Calabi-Yau geometry…
The soaring kite: a tale of two punctured tori
Mathieu Giroux, Andrzej Pokraka, Franziska Porkert +1
We consider the 5-mass kite family of self-energy Feynman integrals and present a systematic approach for constructing an epsilon-form basis, along with its differential equation p…
Looping the loops: a tale of elliptic dual Feynman integrals
Mathieu Giroux, Andrzej Pokraka, Franziska Porkert +1
In this talk, we review a loop-by-loop approach used to generate differential equations for multi-scale (dual) Feynman integrals. We illustrate the method on a well-established exa…