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Transverse momentum dependent operator expansion at next-to-leading power

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arxiv 2109.09771 v2 pith:R2X32GJ4 submitted 2021-09-20 hep-ph hep-th

classification hep-phhep-th
keywords next-to-leadingoperatorpowerdependentexpansionfactorizationmomentumprocess
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We develop a method of transverse momentum dependent (TMD) operator expansion that yields the TMD factorization theorem on the operator level. The TMD operators are systematically ordered with respect to TMD-twist, which allows a certain separation of kinematic and genuine power corrections. The process dependence enters via the boundary conditions for the background fields. As a proof of principle, we derive the TMD factorization up to the next-to-leading power $(\sim q_T/Q)$ at the next-to-leading order for any process with two detected states.

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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. Connecting baryon light-front wave functions to quasi-transverse-momentum-dependent correlators in lattice QCD

    hep-ph 2026-03 conditional novelty 7.0 of 10

    A perturbative proof that baryon three-quark light-front wave functions can be extracted from a quasi-transverse-momentum-dependent lattice correlator, with all NLO divergences canceled by a soft factor.

  2. Soft background fields at next-to-leading power in transverse momentum dependent SIDIS with jets

    hep-ph 2025-07 conditional novelty 7.0 of 10

    New next-to-leading-power factorization for SIDIS with jets from a background-field method with explicit soft modes, including operator-level definitions of twist-3 TMDs free of rapidity and endpoint divergences.

  3. Next-to-next-to-leading power corrections to unpolarized Semi-Inclusive Deep Inelastic Scattering

    hep-ph 2026-01 conditional novelty 6.0 of 10

    Analytic 1/Q² corrections to the four unpolarized SIDIS structure functions are derived from the rapidity-factorization 'gauge-completion' approach, giving f1⊗D1 and h1^⊥⊗H1^⊥ convolutions with numerical estimates for...

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