Fuchsia and Master Integrals for Energy-Energy Correlations at NLO in QCD
O. Gituliar, S. Moch
TL;DR
This paper discusses the analytical calculation of energy-energy correlations in electron-positron annihilation at NLO in QCD, focusing on master integrals using differential equations and the Fuchsia program.
Contribution
It introduces a method for calculating complex master integrals in QCD using differential equations and the Fuchsia software, advancing analytical techniques in particle physics.
Findings
Successful calculation of master integrals for energy correlations
Application of epsilon-form differential equations with Fuchsia
Enhanced analytical methods for NLO QCD computations
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.
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