Helicity Decomposition for Inclusive $J/ψ$ Production

Details Helicity Decomposition for Inclusive $J/ψ$ Production Helicity Decomposition for Inclusive $J/ψ$ Production

1996-04-04

arxiv.org/abs/hep-ph/9604237v2

Phys.Rev. D54 (1996) 3216-3227

Physics

High Energy Physics

High Energy Physics - Phenomenology

29 pages, Latex file. a version with minor modifications

Scientific paper

10.1103/PhysRevD.54.3216

We present a general method for calculating inclusive cross sections for the production of heavy quarkonium states with definite polarization within the NRQCD factorization approach. Cross sections for polarized production can involve additional matrix elements that do not contribute to cross sections for unpolarized production. They can also include interference terms between parton processes that produce $Q \bar Q$ pairs with different total angular momentum. The interference terms cancel upon summing over polarizations. Our method can be generalized to $N$ dimensions and is therefore compatible with the use of dimensional regularization to calculate radiative corrections. We illustrate the method by applying it to the production of $J/\psi$ via the parton processes $q \bar q \to c \bar c$ and $g g \to c \bar c$.

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