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One-loop matching for leading-twist generalised transverse-momentum-dependent distributions

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arxiv 2502.07576 v2 pith:SCZV7X27 submitted 2025-02-11 hep-ph

Valerio Bertone , Miguel G. Echevarria , Óscar del Rio , Simone Rodini This is my paper
classification hep-ph
keywords gtmdsmatchingdistributionsgeneralisedleading-twistcorrectionscorrelatorsgpds
verification ladder T0 review T1 audit T2 compute T3 formal
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We present the one-loop matching coefficients necessary to match all of the leading-twist generalised transverse-momentum-dependent distributions (GTMDs) onto generalised parton distributions (GPDs). Matching functions are extracted by computing the first radiative corrections to partonic bilocal correlators with staple-like Wilson lines, as appropriate for high-energy collisions. These correlators are characterised by a transverse displacement and skewed kinematics of external states. Using the proton helicity basis, they are parametrised in terms of GTMDs, which are subsequently related to leading-twist GPDs. Our results provide new insights into the complex dynamics of GTMDs generated by radiative corrections. In particular, we show that time-reversal even and odd contributions to GTMDs in the so-called ERBL region mix both under matching and evolution. Finally, we present a selection of numerical results and comment on the quantitative behaviour of GTMDs.

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Cited by 6 Pith papers

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

  1. Collinear matching for leading power gluon transverse momentum distributions

    hep-ph 2026-05 unverdicted novelty 7.0 of 10

    Tree-level and one-loop collinear matching relations are computed for leading-power gluon TMD PDFs, yielding the first Wandzura-Wilczek approximation for the gluon worm-gear T distribution along with a closed-form mas...

  2. Gluon GTMDs in the exclusive electroproduction of heavy-quark pairs

    hep-ph 2026-07 accept novelty 6.0 of 10

    Exclusive heavy-quark pair electroproduction is expressed through gluon GTMDs, with all azimuthal modulations catalogued and shown to reduce consistently to GPD-based formulas in the collinear limit.

  3. 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...

  4. 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}.

  5. Electromagnetic structure of charged and neutral strange vector mesons

    hep-ph 2026-07 conditional novelty 4.0 of 10

    Covariant NJL calculations give K*+ charge radius 0.45 fm² and magnetic moment 2.67 μ_N, and K*0 radius −0.04 fm² and moment 0.032 μ_N.

  6. 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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