Proper definition and evolution of generalized transverse momentum dependent distributions

M. Garcia, Ahmad Idilbi, Koichi Kanazawa, Cédric Lorcé, Andreas Metz, Barbara Pasquini, Marc Schlegel

Research output: Contribution to JournalArticleAcademicpeer-review

Abstract

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-leading-logarithmic accuracy with the currently known perturbative ingredients.

Original languageEnglish
Pages (from-to)336-341
Number of pages6
JournalPhysics Letters B
Volume759
DOIs
Publication statusPublished - 10 Aug 2016

Fingerprint

Dive into the research topics of 'Proper definition and evolution of generalized transverse momentum dependent distributions'. Together they form a unique fingerprint.

Cite this