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arXiv · 2204.03856

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

Simone Rodini·Alexey Vladimirov
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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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Simone Rodini, Alexey Vladimirov. 2022-04-08. Definition and evolution of transverse momentum dependent distribution of twist-three. https://doi.org/10.1007/jhep08(2022)031

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