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

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.

arXiv comment43 pages, 5 figures; ver2, misprints corrected ver3, corrected typos in Eq. C.4/5

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• Unpolarized Transverse Momentum Distributions from a global fit of Drell-Yan and Semi-Inclusive Deep-Inelastic Scattering data
• Transverse structure of the pion beyond leading twist with basis light-front quantization
• Quasi Transverse Momentum Dependent Distributions at Next-to-Next-to-Leading order
• Several Topics on Transverse Momentum-Dependent Fragmentation Functions
• Sivers, Boer-Mulders and worm-gear distributions at next-to-leading order
• Neutrino-tagged jets at the Electron-Ion Collider
• Matching generalised transverse-momentum-dependent distributions onto generalised parton distributions at one loop
• Higher Twists
• Universality of the Collins-Soper kernel in lattice calculations
• Evolution of unpolarized transverse momentum dependent parton distributions of twist-3