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An effective field theory approach to quarkonium at small transverse momentum

2019/10/31 by Sean Fleming, Yiannis Makris, Thomas Mehen · 37 citations
Physics and Astronomy · #Effective field theory #Factorization #Gluon #High-Energy Particle Collisions Research #Observable #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quark #Quarkonium #Rapidity #Renormalization #hep-ph #nucl-th

paper · pdf · doi:10.1007/jhep04(2020)122

published in Journal of High Energy Physics 2020(4) (Springer Nature) · 48 pages, 8 figures

openalex created_date 2019/10/18 · arxiv created 2020/01/19 · openalex publication_date 2020/04/01 · arxiv updated 2020/05/20 · openalex updated_date 2026/08/05

Abstract

A bstract In this work we apply effective field theory (EFT) to observables in quarkonium production and decay that are sensitive to soft gluon radiation, in particular measurements that are sensitive to small transverse momentum. Within the EFT framework we study χ Q decay to light quarks followed by the fragmentation of those quarks to light hadrons. We derive a factorization theorem that involves transverse momentum distribution (TMD) fragmentation functions and new quarkonium TMD shape functions. We derive renormalization group equations, both in rapidity and virtuality, which are used to evolve the different terms in the factorization theorem to resum large logarithms. This theoretical framework will provide a systematic treatment of quarkonium production and decay processes in TMD sensitive measurements.

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