Positivity bounds on spin-one distribution and fragmentation functions

Abstract

We establish a connection between the distribution functions of quarks in spin-one hadrons and the helicity matrix for forward scattering of antiquarks off spin-one hadrons. From positivity of this matrix we obtain inequality relations among the distribution functions. Analogous relations hold also for fragmentation functions. The bounds we obtained can be used to constrain estimates of unknown functions, occurring in particular in semi-inclusive deep inelastic scattering or e+ e- annihilation with vector mesons in the final state.

7 pages

Cited by in corpus (18)

• Transverse Polarisation of Quarks in Hadrons
• Partial-wave analysis of two-hadron fragmentation functions
• TMDs of Spin-one Targets: Formalism and Covariant Calculations
• Basis light-front quantization approach to photon
• Light-front wavefunctions of mesons by design
• Light-front holographic $\rho$-meson distributions in the momentum space
• Leading twist T-even TMDs for the spin-1 heavy vector mesons
• Target mass effects in deep-inelastic scattering on the deuteron
• Several Topics on Transverse Momentum-Dependent Fragmentation Functions
• Transverse momentum distributions of valence quark in light and heavy vector mesons
• Collinear parton distributions and the structure of the nucleon sea in a light-front meson-cloud model
• Probing the transverse spin of quarks in deep inelastic scattering
• Off-forward gluonic structure of vector mesons
• Inclusive and semi-inclusive production of spin-3/2 hadrons in $e^{+}{e}^{-}$ annihilation
• Positivity bounds on gluon TMDs for hadrons of spin $\le$ 1
• Mapping the internal structure of hadrons through color and spin effects
• Generalizing the Soffer Bound: Positivity Constraints on Parton Distributions of Spin-3/2 Particles
• Azimuthal and spin asymmetries in DIS