Understanding photon TMDs using light-front wave function

In this work, we try to understand the transverse structure of photon through transverse momentum dependent parton distribution functions (TMDs) in quantum chromodynamics. We calculate all the possible time reversal photon TMDs using light-front wave functions. For this work, we have considered photon as a Fock-state of quark anti-quark pair. All the $9$ T-even TMDs have been presented in the overlap and explicit form of light-front wave functions using the helicity amplitudes. We observe that only $3$ TMDs are non-zero for the case of a real photon as compared to $8$ for virtual photon. We briefly discuss the unpolarized $f_1 (x,\textbf{k}_\perp)$, longitudinally polarized $g_{1L}(x,\textbf{k}^2_\perp)$, transversly polarized $h_1(x,\textbf{k}^2_\perp)$ and tensor polarized $f_{1LL}(x,\textbf{k}^2_\perp)$ TMDs for both real and virtual photon.

Publication Details

Journal
ArXiv.org
Published
2025-04-02
Primary Topic
Quantum Chromodynamics and Particle Interactions
Type
article
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article

Understanding photon TMDs using light-front wave function

ArXiv.org
Quantum Chromodynamics and Particle Interactions
article

Understanding photon TMDs using light-front wave function

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Abstract

In this work, we try to understand the transverse structure of photon through transverse momentum dependent parton distribution functions (TMDs) in quantum chromodynamics. We calculate all the possible time reversal photon TMDs using light-front wave functions. For this work, we have considered photon as a Fock-state of quark anti-quark pair. All the $9$ T-even TMDs have been presented in the overlap and explicit form of light-front wave functions using the helicity amplitudes. We observe that only $3$ TMDs are non-zero for the case of a real photon as compared to $8$ for virtual photon. We briefly discuss the unpolarized $f_1 (x,\textbf{k}_\perp)$, longitudinally polarized $g_{1L}(x,\textbf{k}^2_\perp)$, transversly polarized $h_1(x,\textbf{k}^2_\perp)$ and tensor polarized $f_{1LL}(x,\textbf{k}^2_\perp)$ TMDs for both real and virtual photon.

ArXiv.org
Openalex Percentile: Top 76%
Quantum Chromodynamics and Particle Interactions
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Understanding photon TMDs using light-front wave function · ArXiv.org (2025) | TGRS Research Map | TGRS