Bounds on transverse momentum dependent distribution and fragmentation functions
A. Bacchetta, M. Boglione, A. Henneman, P.J. Mulders
TL;DR
This paper derives positivity bounds on distribution and fragmentation functions relevant for deep inelastic scattering and Drell-Yan processes, aiding in estimating azimuthal and spin asymmetries.
Contribution
It provides new positivity bounds on TMD distribution and fragmentation functions based on matrix element positivity, guiding experimental estimates.
Findings
Bounds help estimate asymmetries in scattering processes
Bounds are derived from positivity of matrix elements
Guides experimental and phenomenological studies
Abstract
We give bounds on the distribution and fragmentation functions that appear at leading order in deep inelastic 1-particle inclusive leptoproduction or in Drell-Yan processes. These bounds simply follow from positivity of the defining matrix elements and are an important guidance in estimating the magnitude of the azimuthal and spin asymmetries in these processes.
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