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Proper definition and evolution of generalized transverse momentum distributions

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arxiv 1602.06953 v2 pith:AOP5H6VT submitted 2016-02-22 hep-ph

Miguel G. Echevarria , Ahmad Idilbi , Koichi Kanazawa , Cédric Lorcé , Andreas Metz , Barbara Pasquini , Marc Schlegel This is my paper
classification hep-ph
keywords gtmdsdistributionsevolutionmomentumtransversearguedefinitionsexisting
verification ladder T0 review T1 audit T2 compute T3 formal
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We consider one of the most fundamental sets of hadronic matrix elements, namely the generalized transverse momentum 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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Gluon GTMD at strong coupling: fixed-spin saddle factorization and Reggeization

    hep-ph 2026-06 unverdicted novelty 6.0 of 10

    The paper derives factorization of fixed-spin conformal moments of unpolarized gluon GTMDs into a universal staple-worldsheet soft factor and a target-dependent Witten amplitude, with UV/IR reductions and Reggeization...

  2. Gluon Generalized TMD signatures at the EIC from exclusive heavy (axial-)vector meson production

    hep-ph 2026-01 conditional novelty 6.0 of 10

    Exclusive heavy vector-meson electroproduction can yield cos2φ and sin2φ azimuthal asymmetries whose coefficients contain moments of gluon GTMDs F_{1,4} and G_{1,1}.

  3. Spin Structure of the Nucleon: Overview

    hep-ph 2026-07 unverdicted

    A pedagogical review consolidates the proton spin decomposition into quark/gluon spin and orbital angular momentum, emphasizing gauge-invariant OAM definitions, small-x cancellations, and EIC observables.

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