Twist-4 proton GTMDs in the light-front quark-diquark model
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866909186158231552 |
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| author | Sharma, Shubham Dahiya, Harleen |
| author_facet | Sharma, Shubham Dahiya, Harleen |
| contents | By integrating across the light-cone energy, totally unintegrated, off-diagonal quark-quark generalized parton correlation functions (GPCFs) can yield generalized transverse-momentum dependent parton distributions (GTMDs). We have obtained the twist-4 GTMDs for the case of proton in the light-front quark-diquark model (LFQDM). We have decoded the quark-quark GTMD correlator for proton and solved the parametrization equations for Dirac matrix structure at twist-4. We have derived the explicit equations of GTMDs for the diquark being scalar or vector leading to the results for the struck quark being a $u$ or $d$ quark. Being a multidimensional function, the dependence is studied with two variables at a time, keeping the others fixed. Transverse-momentum dependent form factors (TMFFs) have been obtained from GTMDs via integration over the longitudinal momentum fraction $x$ of the quark. We have debated over the possibility to specify the initial and final state polarizations of the smacked quark and the nucleon in twist-4 GTMDs as well as the Wigner distributions. Additionally, from twist-4 GTMDs, we have deduced the twist-4 T-even TMDs and found its synchronization with the already published results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_03592 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Twist-4 proton GTMDs in the light-front quark-diquark model Sharma, Shubham Dahiya, Harleen High Energy Physics - Phenomenology By integrating across the light-cone energy, totally unintegrated, off-diagonal quark-quark generalized parton correlation functions (GPCFs) can yield generalized transverse-momentum dependent parton distributions (GTMDs). We have obtained the twist-4 GTMDs for the case of proton in the light-front quark-diquark model (LFQDM). We have decoded the quark-quark GTMD correlator for proton and solved the parametrization equations for Dirac matrix structure at twist-4. We have derived the explicit equations of GTMDs for the diquark being scalar or vector leading to the results for the struck quark being a $u$ or $d$ quark. Being a multidimensional function, the dependence is studied with two variables at a time, keeping the others fixed. Transverse-momentum dependent form factors (TMFFs) have been obtained from GTMDs via integration over the longitudinal momentum fraction $x$ of the quark. We have debated over the possibility to specify the initial and final state polarizations of the smacked quark and the nucleon in twist-4 GTMDs as well as the Wigner distributions. Additionally, from twist-4 GTMDs, we have deduced the twist-4 T-even TMDs and found its synchronization with the already published results. |
| title | Twist-4 proton GTMDs in the light-front quark-diquark model |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2310.03592 |