Twist Three Distribution f_\perp(x,k^\perp) in Light-front Hamiltonian Approach

TL;DR

This paper computes the twist three distribution f_ot(x,k^ot) relevant for the Cahn effect in semi-inclusive deep inelastic scattering using light-front Hamiltonian methods at one-loop order.

Contribution

It provides a perturbative calculation of the genuine twist three distribution in a dressed quark model, highlighting the quark-gluon interaction contribution.

Findings

Explicit expression for f_ot(x,k^ot) at one loop

Comparison between f_ot(x,k^ot) and f_1(x,k^ot)

Identification of the quark-gluon interaction's role in twist three distributions

Abstract

We calculate the twist three distribution f_\perp(x,k^\perp) contributing to Cahn effect in unpolarized semi-inclusive deep inelastic scattering. We use light-front Hamiltonian technique and take the state to be a dressed quark at one loop in perturbation theory. The 'genuine twist three' contribution comes from the quark-gluon interaction part in the operator and is explicitly calculated. f_\perp(x,k^\perp) is compared with f_1(x,k^\perp).