Leptoproduction of J/psi

Abstract

We study leptoproduction of $J/\psi$ at large $Q^2$ within the nonrelativistic QCD (NRQCD) factorization formalism. The cross section is dominated by color-octet terms that are of order ${\alpha }_s$. The color-singlet term, which is of order ${\alpha }_s^2$, is shown to be a small contribution to the total cross section. We also calculate the tree diagrams for color-octet production at order ${\alpha }_s^2$ in a region of phase space where there is no leading color-octet contribution. We find that in this regime the color-singlet contribution dominates. We argue that non-perturbative corrections arising from diffractive leptoproduction, higher twist effects, and higher order terms in the NRQCD velocity expansion should be suppressed as $Q^2$ is increased. Therefore, the color-octet matrix elements $<{\mathcal{O}}_8^{\psi }{(}^1{S}_0)>$ and $<{\mathcal{O}}_8^{\psi }{(}^3{P}_0)>$ can be reliably extracted from this process. Finally, we point out that an experimental measurement of the polarization of leptoproduced $J/\psi$ will provide an excellent test of the NRQCD factorization formalism.

33 pages latex. 10 figures. Uses revtex, epsf, and rotate macros. This paper is also available via the UW phenomenology archives at http://phenom.physics.wisc.edu/pub/preprints/

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• Calculation of P-Wave Charmonium Decay Rates Using Dimensional Regularization
• Higher Twist Effect in Inclusive Quarkonium Photoproduction

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