Joint Theory Seminar: Qinglin Yang

Title: Feynman Integrals, Symbology and Twistor geometries

Abstract:
In this talk we will present a geometric method, called Schubert analysis, to recover symbol letters of multi-polylogarithmic Feynman integrals from twistor geometries. In the first part of the talk we will briefly review some basic facts about dual conformal invariant (DCI) Feynman Integrals in N=4 SYM theory and their symbology, whose results are obtained from direct integrations or bootstrapping recent years. We will then introduce our Schubert analysis method. By constructing certain geometric invariants in momentum twistors space from intersections, we will see that these DCI invariants recover alphabets for one-loop and some two-loop examples. Finally, we extend our method to more general QCD, and also for the cases beyond MPL integrals.