Studies of Transverse Momentum Dependent Parton Distributions and Bessel Weighting

TL;DR

This paper introduces a Bessel weighting method for analyzing transverse momentum dependent parton distributions, demonstrating its effectiveness and systematic considerations through Monte Carlo simulations of semi-inclusive deep inelastic scattering.

Contribution

The paper presents a novel Bessel weighting technique for TMD analysis and applies it to Monte Carlo simulations, highlighting its reliability and systematic effects.

Findings

Bessel weighting effectively studies Fourier transforms of TMDs.

Systematic offsets are small and due to energy-momentum conservation.

Method is robust against experimental acceptance and resolution effects.

Abstract

In this paper we present a new technique for analysis of transverse momentum dependent parton distribution functions, based on the Bessel weighting formalism. The procedure is applied to studies of the double longitudinal spin asymmetry in semi-inclusive deep inelastic scattering using a new dedicated Monte Carlo generator which includes quark intrinsic transverse momentum within the generalized parton model. Using a fully differential cross section for the process, the effect of four momentum conservation is analyzed using various input models for transverse momentum distributions and fragmentation functions. We observe a few percent systematic offset of the Bessel-weighted asymmetry obtained from Monte Carlo extraction compared to input model calculations, which is due to the limitations imposed by the energy and momentum conservation at the given energy/Q2. We find that the Bessel weighting technique provides a powerful and reliable tool to study the Fourier transform of TMDs with controlled systematics due to experimental acceptances and resolutions with different TMD model inputs.