Consistency of pion form factor and unpolarized transverse momentum dependent parton distributions beyond leading twist in the light-front quark model
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914786591113216 |
|---|---|
| author | Choi, Ho-Meoyng Ji, Chueng-Ryong |
| author_facet | Choi, Ho-Meoyng Ji, Chueng-Ryong |
| contents | We investigate the interplay among the pion's form factor, transverse momentum dependent distributions (TMDs), and parton distribution functions (PDFs) extending our light-front quark model (LFQM) computation based on the Bakamjian-Thomas construction for the two-point function[41,42] to the three-point and four-point functions. Ensuring the four-momentum conservation at the meson-quark vertex from the Bakamjian-Thomas construction, the meson mass is taken consistently as the corresponding invariant meson mass both in the matrix element and the Lorentz factor in our LFQM computation. We achieve the current-component independence in the physical observables such as the pion form factor and delve into the derivation of unpolarized TMDs and PDFs associated with the forward matrix element. We address the challenges posed by twist-4 TMDs and exhibit the fulfillment of the sum rule. Effectively, our LFQM successfully handles the light-front zero modes and offers insights for broader three-point and four-point functions and related observables. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_16703 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Consistency of pion form factor and unpolarized transverse momentum dependent parton distributions beyond leading twist in the light-front quark model Choi, Ho-Meoyng Ji, Chueng-Ryong High Energy Physics - Phenomenology We investigate the interplay among the pion's form factor, transverse momentum dependent distributions (TMDs), and parton distribution functions (PDFs) extending our light-front quark model (LFQM) computation based on the Bakamjian-Thomas construction for the two-point function[41,42] to the three-point and four-point functions. Ensuring the four-momentum conservation at the meson-quark vertex from the Bakamjian-Thomas construction, the meson mass is taken consistently as the corresponding invariant meson mass both in the matrix element and the Lorentz factor in our LFQM computation. We achieve the current-component independence in the physical observables such as the pion form factor and delve into the derivation of unpolarized TMDs and PDFs associated with the forward matrix element. We address the challenges posed by twist-4 TMDs and exhibit the fulfillment of the sum rule. Effectively, our LFQM successfully handles the light-front zero modes and offers insights for broader three-point and four-point functions and related observables. |
| title | Consistency of pion form factor and unpolarized transverse momentum dependent parton distributions beyond leading twist in the light-front quark model |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2403.16703 |