Relations between generalized parton distributions and transverse momentum dependent parton distributions

Gurjar, Bheemsehan; Chakrabarti, Dipankar; Choudhary, Poonam; Mukherjee, Asmita; Talukdar, Pulak

doi:10.1103/physrevd.104.076028

Cited by 12 publications

(11 citation statements)

References 52 publications

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“…To proceed further we must specify the form of the gluon rescattering kernel G (x, q ⊥ ). Alternatively to incorporate the effects of the final-state interaction, the LFWFs can be modified to have a phase factor, which is essential to obtain Sivers or Boer-Mulders functions [30,39,64,65]. In this work, we explicitly employ a nonperturbative gluon rescattering kernel G (x, q ⊥ ) [66] to produce nonzero T-odd TMDs.…”

Section: Light-front Quark-diquark Modelmentioning

confidence: 99%

“…This Wilson line phase factor describes the effect of the transverse component of the force acting on the struck quark and is on average directed towards the center of the proton thus giving rise to the chromodynamics lensing [23,36,37]. In the quark-diquark model of nucleons, the spin-flip GPD E q (x, t) and the Sivers function f ⊥q 1T (x, p 2 ⊥ ) are expressed as the overlap of same light-front wave functions and enable us to relate the Sivers function with the GPD in the impact parameter space through the "lensing function" I(x, b ⊥ ) [38][39][40]. Again, the first moment of T-odd TMDs ( Sivers and Boer-Mulders functions) can be written as the convolution of the GPD E with the gluon rescattering kernel and thus the lensing function and the gluon rescattering kernel are related to each other [39,40].…”

Section: Introductionmentioning

confidence: 99%

“…In this work, we consider a light-front quark-diquark model including only scalar diquarks with the wave functions modeled from the prediction of light-front holography [45,46]. Rather than modifying the wave functions [30,39], here we consider the gluon rescattering kernel to incorporate the FSI effect [34,36]. Both perturbative U (1) and nonperturbative SU (3) gluon rescattering kernels are compared and contrasted in the model.…”

Section: Introductionmentioning

confidence: 99%

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Sivers and Boer-Mulders TMDs of proton in a light-front quark-diquark model

Gurjar¹,

Chakrabarti²,

Mondal³

2022

Preprint

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We obtain the leading twist T-odd quark transverse momentum dependent parton distribution functions (TMDs) of the proton, namely the Sivers function, f ⊥q 1T (x, p 2 ⊥ ), and the Boer-Mulders function, h ⊥q 1 (x, p 2 ⊥ ), in a light-front quark-diquark model constructed with the wave functions predicted by the soft-wall AdS/QCD. The gluon rescattering is crucial to predict a nonzero T-odd TMDs. We study the utility of a nonperturbative SU (3) gluon rescattering kernel going beyond the usual approximation of perturbative U (1) gluons. The spin asymmetries in semi-inclusive deep inelastic scattering (SIDIS) associated with these T-odd TMDs are found to be consistent with HERMES and COMPASS data. We also evaluate the generalized Sivers and Boer-Mulders shifts and compare them with the available lattice QCD simulations.

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Section: Light-front Quark-diquark Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Sivers and Boer-Mulders TMDs of proton in a light-front quark-diquark model

Gurjar¹,

Chakrabarti²,

Mondal³

2022

Preprint

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“…After that TMD densities and their collinear counterparts decouple due to different evolution equations, Collins-Soper-Sterman (CSS) versus DGLAP. The relationships between TMDs and GPDs in a LFQDM have been studied and many of the relationships which we have obtained seems to have a similar structure in several models [161].…”

Section: Introductionmentioning

confidence: 63%

“…The relationship between the Sivers function and the GPD E q can be derived in terms of a lensing function in this model [161]. The orbital angular momentum of quarks is computed and compared to the results of other similar models [161].…”

Section: Introductionmentioning

confidence: 99%

Twist-4 T-even proton TMDs in the light-front quark-diquark model

Sharma,

Dahiya

2023

Preprint

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We have dealt with the twist-4 T-even transverse momentum dependent parton distributions (TMDs) for the case of proton in the light-front quark-diquark model (LFQDM). By decoding the unintegrated quarkquark correlator for the semi-inclusive deep inelastic scattering (SIDIS), we have specifically obtained the overlap form for the unpolarized f ν 3 (x, p 2 ⊥ ) , longitudinally polarized g ν 3L (x, p 2 ⊥ ), h ⊥ν 3L (x, p 2 ⊥ ) and transversely polarized g ν 3T (x, p 2 ⊥ ), h ν 3T (x, p 2 ⊥ ) and h ν⊥ 3T (x, p 2 ⊥ ) proton TMDs. We have provided the explicit expressions for both the cases of the diquark being a scalar or a vector. Average transverse momenta and the average square transverse momenta for the TMDs have been calculated and the results have been tabulated with corresponding leading twist TMDs. In addition, the value of average transverse momentum and average square transverse momentum for TMD f ν 3 (x, p 2 ⊥ ) has been compared with the available light-front constituent quark model (LFCQM) results. From TMDs, we have also obtained and discussed the transverse momentum dependent parton distribution functions (TMDPDFs). The model relations of the twist-4 T-evenTMDs with the available leading twist T-even TMDs have also been obtained.

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