2011/04/05 by Jui-yu Chiu, Ambar Jain, Duff Neill +1 · 6 citations
Mathematics · Physics and Astronomy · #Formalism (music) #Hadron #High-Energy Particle Collisions Research #Invariant (physics) #Logarithm #Mathematical analysis #Mathematical physics #Mathematics #Observable #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Rapidity #Renormalization #Renormalization group #Resummation #Series (stratigraphy) #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1103/physrevlett.108.151601
4 pages, 3 figures
arxiv created 2011/04/05 · openalex publication_date 2012/04/09 · arxiv updated 2015/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We introduce a systematic approach for the resummation of perturbative series which involves large logarithms not only due to large invariant mass ratios but large rapidities as well. A series of this form can appear in a variety of gauge theory observables. The formalism is utilized to calculate the jet broadening event shape in a systematic fashion to next-to-leading logarithmic order. An operator definition of the factorized cross section as well as a closed form of the next-to-leading-log cross section are presented. The result agrees with the data to within errors.