Next-to-next-to-leading logarithmic resummation for transverse thrust

TL;DR

This paper develops a precise theoretical prediction for the transverse thrust event shape in hadron colliders by resumming dominant logarithmic terms to next-to-next-to-leading order, utilizing a universal and efficient method.

Contribution

It introduces a general resummation technique for event shapes at NNLL accuracy that leverages universality and minimal two-loop calculations, applicable to various observables.

Findings

Achieved NNLL resummation for transverse thrust.

Utilized existing numerical tools for two-loop ingredients.

Demonstrated the method's general applicability.

Abstract

We obtain a prediction for the hadron-collider event-shape variable transverse thrust in which the terms enhanced in the dijet limit are resummed to next-to-next-to-leading logarithmic accuracy. Our method exploits universality properties made manifest in the factorized expression for the cross section and only requires one-loop calculations. The necessary two-loop ingredients are extracted using known results and existing numerical codes. Our technique is general and applicable to other observables as well.