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Matching generalised transverse-momentum-dependent distributions onto generalised parton distributions at one loop
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The operator definition of generalised transverse-momentum-dependent (GTMD) distributions is exploited to compute for the first time the full set of one-loop corrections to the off-forward matching functions. These functions allow one to obtain GTMDs in the perturbative regime in terms of generalised parton distributions (GPDs). In the unpolarised case, non-perturbative corrections can be incorporated using recent determinations of transverse-momentum-dependent (TMD) distributions. Evolution effects for GTMDs closely follow those for TMDs and can thus be easily accounted for up to next-to-next-to-leading logarithmic accuracy. As a by-product, the relevant one-loop anomalous dimensions are derived, confirming previous results. As a practical application, numerical results for a specific kind of GTMDs are presented, highlighting some salient features.
Forward citations
Cited by 3 Pith papers
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Collinear matching for leading power gluon transverse momentum distributions
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...
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Gluon GTMDs in the exclusive electroproduction of heavy-quark pairs
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.
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Gluon GTMD at strong coupling: fixed-spin saddle factorization and Reggeization
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...
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