Journal Article

Next-to-leading power endpoint factorization and resummation for off-diagonal “gluon” thrust

Strohm, J., Beneke, M., Vernazza, L., Jaskiewicz, S., Szafron, R., Wang, J., Garny, M.

2022

Overview

A bstract The lack of convergence of the convolution integrals appearing in next-to-leading-power (NLP) factorization theorems prevents the applications of existing methods to resum power-suppressed large logarithmic corrections in collider physics. We consider thrust distribution in the two-jet region for the flavour-nonsinglet off-diagonal contribution, where a gluon-initiated jet recoils against a quark-antiquark pair, which is power-suppressed. With the help of operatorial endpoint factorization conditions, we obtain a factorization formula, where the individual terms are free from endpoint divergences in convolutions and can be expressed in terms of renormalized hard, soft and collinear functions in four dimensions. This allows us to perform the first resummation of the endpoint-divergent SCET I observables at the leading logarithmic accuracy using exclusively renormalization-group methods. The presented approach relies on universal properties of the soft and collinear limits and may serve as a paradigm for the systematic NLP resummation for other 1 → 2 and 2 → 1 collider physics processes.

• Publisher: Springer Berlin Heidelberg,Springer Nature B.V,Springer Nature,SpringerOpen
• Subject: Classical and Quantum Gravitation / Convolution integrals / Effective Field Theories of QCD / Elementary Particles / Factorization / Flavor (particle physics) / Gluons / Heuristic / High energy physics / Integrals / Jhep 25th Anniversary Special Issue / JHEP ANNIVERSARY SPECIAL ISSUE / Logarithms / Physics / Physics and Astronomy / PHYSICS OF ELEMENTARY PARTICLES AND FIELDS / Quantum Field Theories / Quantum Field Theory / Quantum Physics / Quarks / Relativity Theory / Renormalization Group / Resummation / String Theory / Thrust distribution