Reconciling the light-cone and nonrelativistic QCD approaches to calculating e+ e- -> J/psi + eta_c

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dc.creatorBodwin, Geoffrey T.
dc.creatorKang, Daekyoung
dc.creatorLee, Jungil
dc.date2006-03-23
dc.date2006-12-28
dc.date.accessioned2026-07-07T10:44:54Z
dc.date.available2026-07-07T10:44:54Z
dc.descriptionIt has been suggested in Ref. [A. E. Bondar and V. L. Chernyak, Phys. Lett. B 612, 215 (2005)] that the disagreement between theoretical calculations and experimental observations for the rate for the process e+ e- -> J/psi + eta_c at the B factories might be resolved by using the light-cone method to take into account the relative momentum of the heavy-quark and antiquark in the quarkonia. The light-cone result for the production cross section in Ref. [A. E. Bondar and V. L. Chernyak, Phys. Lett. B 612, 215 (2005)] is almost an order of magnitude larger than existing NRQCD factorization results. We investigate this apparent theoretical discrepancy. We compute light-cone distribution functions by making use of quarkonium wave functions from the Cornell potential model. Our light-cone distribution functions are similar in shape to those of Ref. [A. E. Bondar and V. L. Chernyak, Phys. Lett. B 612, 215 (2005)] and yield a similar cross section. However, when we subtract parts of the light-cone distribution functions that correspond to corrections of relative-order alpha_s in the NRQCD approach, we find that the cross section decreases by about a factor of three. When we set certain renormalization factors Z_i in the light-cone calculation equal to unity, we find a further reduction in the cross section of about a factor of two. The resulting light-cone cross section is similar in magnitude to the NRQCD factorization cross sections and shows only a modest enhancement over the light-cone cross section in which the relative momentum of the heavy-quark and antiquark is neglected.
dc.description39 pages, 7 eps figures, typos corrected, references updated, version published in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/hep-ph/0603185
dc.identifierhttp://arxiv.org/abs/hep-ph/0603185
dc.identifierPhys.Rev.D74:114028,2006
dc.identifierdoi:10.1103/PhysRevD.74.114028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/182755
dc.subjectHigh Energy Physics - Phenomenology
dc.titleReconciling the light-cone and nonrelativistic QCD approaches to calculating e+ e- -> J/psi + eta_c
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