Thrust distribution resummation in e^{+}e^{-} collisions

TL;DR

This paper discusses advanced resummation techniques for the Thrust distribution in electron-positron collisions, achieving NNLL accuracy through renormalisation group evolution and matching with fixed-order calculations.

Contribution

It introduces a novel approach to IR logarithm resummation for Thrust using RG evolution in Laplace space and develops matching procedures to combine resummed and fixed-order results.

Findings

Achieved NNLL resummation accuracy for Thrust distribution.

Derived log(R)-matching and R-matching methods for combining results.

Enhanced precision in theoretical predictions for e+e- collision observables.

Abstract

In this talk we report on the recent progresses on IR logarithms resummation for the Thrust distribution in e^{+}e^{-} collisions. Using renormalisation group (RG) evolution in Laplace space, the resummation of logarithmically enhanced corrections is performed to next-to-next-to-leading logarithmic (NNLL) accuracy. To combine the resummed expressions with the fixed-order results, we derive the log(R)-matching and R-matching of the NNLL approximation to the fixed-order NNLO distribution.