Gluon Generalized TMDs and Wigner Distributions in boost invariant longitudinal space
High Energy Physics - Phenomenology
High Energy Physics - Phenomenology (hep-ph)
0103 physical sciences
FOS: Physical sciences
DOI:
10.48550/arxiv.2309.03917
Publication Date:
2025-01-01
AUTHORS (3)
ABSTRACT
We present the gluon generalized TMDs for non-zero skewness and Wigner distributions in the boost invariant longitudinal space. The boost-invariant longitudinal space is defined as $σ=\frac{1}{2}b^-Δ^+$ and is conjugate to the skewness variable $ξ$. We use the dressed quark model, where a high-energetic quark is dressed by a gluon. This two-particle system has the advantage of addressing both the gluon and the quark sectors. The different contributions in Wigner distributions coming from different polarization of gluon and the dressed quark system are investigated. The Wigner distributions are obtained by taking the Fourier transformation of generalized TMDs, which we derive for the first time for non-zero skewness in dressed quark model.
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