Positivity and unitarity constraints on dipole gluon distributions

Robi Peschanski (1)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681

In the high-energy domain, gluon transverse-momentum dependent distributions in nuclei obey constraints coming from positivity and unitarity of the colorless QCD dipole distributions through Fourier-Bessel transformations. Using mathematical properties of Fourier-positive functions, we investigate the nature of these constraints which apply to dipole model building and formulation.

Domaines: Physique [physics]; Physique des Hautes Energies - Phénoménologie [hep-ph]

Robi Peschanski. Positivity and unitarity constraints on dipole gluon distributions. Acta Physica Polonica B, 2016, 47 (7), pp.1965 - 1965. ⟨10.5506/APhysPolB.47.1965⟩. ⟨cea-01469094⟩