Speaker
Description
The method of differential equations has become one of the most powerful tools for the evaluation of multiloop Feynman integrals. In recent years, substantial progress has been made in extending the notion of canonical differential equations beyond the multiple polylogarithm case to integrals involving more general geometries. Nevertheless, deriving canonical forms for such systems remains challenging and often requires significant case-by-case insight.
In this talk, I present a new algorithm—soon to be published—for systematically deriving canonical differential equations for Feynman integrals, irrespective of the underlying geometry. The approach combines several recent conceptual and algorithmic developments with new techniques that allow one to efficiently identify suitable bases and canonicalize the associated differential systems. The algorithm is constructive and well suited for practical computations.
I will demonstrate the method on a range of nontrivial examples, showing how it produces canonical differential equations for integrals that go beyond the polylogarithmic class in a largely automated, black-box fashion. These results provide further evidence that the canonical differential equation framework can be extended in a systematic way to broader classes of Feynman integrals and represent an important milestone toward streamlining future multiloop calculations relevant for precision collider physics.
