2016/02/29 by Miguel G. Echevarria, Miguel G. Echevarría, Ahmad Idilbi +6 · 47 citations
Mathematics · Physics and Astronomy · #Gluon #Hadron #High-Energy Particle Collisions Research #Kernel (algebra) #Logarithm #Mathematical analysis #Mathematics #Momentum (technical analysis) #Particle physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quark #Statistical physics #Theoretical physics #Transverse plane #hep-ph
paper · pdf · doi:10.1016/j.physletb.2016.05.086
published in Physics Letters B 759, 336-341 (Elsevier BV) · v2: typo in eq.(19) corrected. Matches published version in PLB. v1: 9 pages, 2 figures
openalex publication_date 2016/05/31 · arxiv created 2016/06/10 · arxiv updated 2016/06/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
We consider one of the most fundamental sets of hadronic matrix elements, namely the generalized transverse momentum dependent distributions (GTMDs), and argue that their existing definitions lack proper evolution properties. By exploiting the similarity of GTMDs with the much better understood transverse momentum distributions, we argue that the existing definitions of GTMDs have to include an additional dependence on soft gluon radiation in order to render them properly defined. With this, we manage to obtain the evolution kernel of all (un)polarized quark and gluon GTMDs, which turns out to be spin independent. As a byproduct, all large logarithms can be resummed up to next-to-next-to-leadinglogarithmic accuracy with the currently known perturbative ingredients.