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

Abstract

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 quark–quark correlator for the semi-inclusive deep inelastic scattering (SIDIS), we have specifically obtained the overlap form for the unpolarized [Formula: see text], longitudinally polarized [Formula: see text] and transversely polarized ([Formula: see text] and [Formula: see text]) 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 [Formula: see text] 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-even TMDs with the available leading twist T-even TMDs have also been obtained.

Twist-4 proton GTMDs in the light-front quark–diquark model

“…The distributions of pressure and shear force are also compatible with the outcomes of other models [94]. Recently, twist-3 [95] and twist-4 [96] T-even TMDs have been derived in the LFQDM. The calculations of average square momenta and average square transverse momenta for these higher twist TMDs [95,96] have been found to be in close agreement with those of the LFCQM and the bag model.…”

“…Twist-4 T-even TMDs and corresponding PDFs in LFQDM have already been discussed in detail in Ref. [96]. Here, we will study the behavior of twist-4 GTMDs at non zero ∆ with variation in the longitudinal momentum fraction x and the transverse momentum of quark p ⊥ .…”

“…Recently, twist-3 [95] and twist-4 [96] T-even TMDs have been derived in the LFQDM. The calculations of average square momenta and average square transverse momenta for these higher twist TMDs [95,96] have been found to be in close agreement with those of the LFCQM and the bag model. Within this model, the relations of higher twist TMDs with twist-2 TMDs have been obtained and some of them are similar to as in other quark models.…”

“…Twist-4 distributions have been the subject of dis-cussion [103][104][105][106][107][108][109][110][111][112]. Specifically, in the frame of LFQDM, both twist-3 [95] and twist-4 [96] T-even TMDs have been derived. Taking these points into consideration, it would be interesting to go to higher twist GTMDs calculation in the LFQDM.…”

Sub-leading twist transverse momentum dependent parton distributions in the light-front quark-diquark model

“…TMDs encode momentum information of the parton along both longitudinal and transverse directions and is linked experimentally to semi-inclusive deep inclusive scattering (SIDIS). Higher twist TMDs have been an arising topic of interest [1]. In the present work, we have studied the twist-4 TMD…”