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22–24 Aug 2022
杭州
Asia/Shanghai timezone

Canonical differential equations for loop integrals in four dimensions

24 Aug 2022, 09:20
20m
杭州

杭州

浙江宾馆

Speaker

Ma Rourou (U)

Description

In this talk, we introduce our work on a new type of canonical differential equation for heavy quark effective theory (HQET). This method aims at calculating the divergent part of Feynman integrals with only one region of divergence. For this special type Feynman integrals, we invent three ingredients 1) the "graded IBP operator", 2) syzygy method to control the types of divergence, 3) the "initial" algorithm for 4D canonical differential equation. We show the power of our method by calculating an example of 3-loop HQET integral family, whose 1/epsilon coefficients correspond to the angle-dependent cusp anomalous dimension.

Primary author

Ma Rourou (U)

Co-authors

Johannes Henn Yang Zhang Kai Yan

Presentation materials