Fuchsia and Master Integrals for Energy-Energy Correlations at NLO in QCD

Abstract

In this talk we discuss some aspects of the analytical calculation of energy correlations in electron-positron annihilation at a next-to-leading order in QCD. Our primary focus is on the most difficult task: the calculation of master integrals for real-emission contributions, which are functions of two dimensionless variables and the dimensional regulator. We use a method of differential equations and their so-called epsilon-form which is constructed with the help of the Fuchsia program based on Lee's algorithm.

Comments: 11 pages, 1 figure. Presented at Matter to the Deepest Conference in Podlesice (Poland) 3-8 Sep 2017 and at RADCOR Conference in St. Gilgen (Austria) 24-29 Sep 2019