ε-forms for non-planar triangles with elliptic curves at two loops

2023/09/14 by Jiang, Xuhang, Wang, Xing, Yang, Li Lin +1
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2309.07786

Abstract

In this talk, we discuss how to generalize ideas developed for Banana integrals to two two-loop non-planar triangle Feynman integrals involving elliptic curves, which have non-trivial sub-sectors and whose Picard-Fuchs operators share less symmetry than Banana integrals, to obtain the canonical differential equations and to solve them with suitable boundary conditions.

Related

• ε-factorized differential equations for two-loop non-planar triangle Feynman integrals with elliptic curves
• Simple differential equations for Feynman integrals associated to\n elliptic curves
• Feynman integrals, elliptic integrals and two-parameter K3 surfaces
• Beyond a single elliptic curve
• Feynman integrals, geometries and differential equations