Abstract
In this paper, we study the application of the recently proposed soft gluon factorization (SGF) to exclusive quarkonium production or decay. We find that in the nonrelativistic QCD factorization framework there are too many nonperturbative parameters. Thanks to the factorization of kinematical physics from dynamical physics, the SGF significantly reduces the number of nonperturbative parameters. Therefore, the SGF can improve our predictive power of exclusive quarkonium production or decay. By applying to ηc + γ production at B-factories, our result is the closest one to data among all theoretical calculations.
Highlights
NRQCD factorization [14,15,16,17,18,19,20,21]
In this paper, we study the application of the recently proposed soft gluon factorization (SGF) to exclusive quarkonium production or decay
We set up a general framework to apply the newly proposed SGF to exclusive quarkonium production or decay
Summary
In SGF, the differential cross section for inclusive production of a quarkonium H is given by [2]. Where Hn(Pc) are perturbatively calculable hard parts that, roughly speaking, produce an intermediate state n with total momentum Pc, and Fn→H (Pc, P ) are called soft gluon distributions (SGDs) that describe the hadronization of the intermediate state to the quarkonium H with momentum P. Exclusive process can be thought of as a special case of inclusive process, where there is no real emission during the hadronization process, described by Fn→H (Pc, P ). All conserved quantities are the same between the intermediate state n and the quarkonium H, which include total momentum, color charge, and JP C. We get the factorization formula for exclusive production of polarization summed quarkonium
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