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Definition and evolution of transverse momentum dependent distribution of twist-three

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arxiv 2204.03856 v3 pith:KDP7NP46 submitted 2022-04-08 hep-ph hep-th

classification hep-phhep-th
keywords twist-threedistributionevolutioncorrelatorsdependentequationsmomentumrelations
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abstract

We present an in-depth analysis of transverse momentum dependent (TMD) distributions of twist-three. In particular, we focus on evolution equations, symmetry relations, parameterization, interpretation, small-b asymptotic behaviour and the structure of singularities. The starting point of discussion are the correlators with the definite TMD-twist. By considering suitable combinations of these correlators, we introduce physical TMD distribution of twist-three that can be used for practical applications. We also establish relations with generic TMD distribution of twist-three, and demonstrate that their evolution equations are autonomous in the large-$N_c$ limit.

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  1. 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.

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