Partonic Transverse Motion in Unpolarized Semi-Inclusive Deep Inelastic Scattering Processes

TL;DR

This paper investigates how the transverse motion of partons affects unpolarized SIDIS processes, introducing kinematic constraints that alter traditional Gaussian models and impact observable azimuthal modulations.

Contribution

It introduces new kinematic constraints on partonic transverse momentum, providing a refined approach to modeling SIDIS processes beyond standard Gaussian assumptions.

Findings

Kinematic constraints limit the range of partonic transverse momentum.

Different results are obtained compared to traditional Gaussian smearing.

Impacts on azimuthal modulation and transverse momentum observables.

Abstract

We analyse the role of partonic transverse motion in unpolarized Semi-Inclusive Deep Inelastic Scattering (SIDIS) processes. Imposing appropriate kinematical conditions, we find some constraints which fix an upper limit to the range of allowed k_perp values. We show that, applying these additional requirements on the partonic kinematics, we obtain different results with respect to the usual phenomenological approach based on the Gaussian smearing with analytical integration over an unlimited range of k_perp values. These variations are particularly interesting for some observables, like the < cos phi_h > azimuthal modulation of the unpolarized SIDIS cross section or the average transverse momentum of the final, detected hadron.