Factorization and resummation for transverse thrust

TL;DR

This paper develops a theoretical framework using Soft Collinear Effective Theory to factorize and resum transverse thrust in hadron collisions, enabling high-precision predictions for this event shape.

Contribution

It introduces a factorization theorem for transverse thrust involving collinear emissions with a collinear anomaly, and computes ingredients for NNLL accuracy at one-loop order.

Findings

Factorized the transverse thrust cross section in SCET.

Achieved resummation of enhanced terms to arbitrary accuracy.

Provided a method to extract two-loop inputs from fixed-order codes.

Abstract

We analyze transverse thrust in the framework of Soft Collinear Effective Theory and obtain a factorized expression for the cross section that permits resummation of terms enhanced in the dijet limit to arbitrary accuracy. The factorization theorem for this hadron-collider event-shape variable involves collinear emissions at different virtualities and suffers from a collinear anomaly. We compute all its ingredients at the one-loop order, and show that the two-loop input for next-to-next-to-leading logarithmic accuracy can be extracted numerically, from existing fixed-order codes.