Investigation on the higher twist TMD $h_3$ for proton in the light-front quark-diquark model

TL;DR

This paper investigates the higher twist TMD distribution $h_3$ for the proton within a light-front quark-diquark model, deriving explicit equations and computing transverse momentum averages to enhance understanding of proton structure.

Contribution

It provides explicit formulations of the higher twist TMD $h_3$ for scalar and vector diquark scenarios in the light-front quark-diquark model, including transverse momentum analyses.

Findings

Derived explicit equations for $h_3$ in scalar and vector diquark cases.

Computed average and average square transverse momenta for $h_3$.

Discussed the transverse momentum dependent parton distribution function $h_3(x)$.

Abstract

The higher twist T-even transverse momentum dependent distribution (TMD) $h_3(x, {\bf p_\perp^2})$ for the proton has been examined in the light-front quark-diquark model (LFQDM). By deciphering the unintegrated quark-quark correlator for semi-inclusive deep inelastic scattering (SIDIS), we have derived explicit equations of the TMD for both the scenarios when the diquark is a scalar or a vector. Average as well as average square transverse momenta have been computed for this TMD. Additionally, we have discussed its transverse momentum dependent parton distribution function (TMDPDF) $h_3(x)$.