Reconciling the light-cone and nonrelativistic QCD approaches to calculating e+e-→J/ψ+ηc

Geoffrey T. Bodwin, Daekyoung Kang, Jungil Lee

Research output: Contribution to journalArticle

64 Citations (Scopus)

Abstract

It has been suggested in Ref. that the disagreement between theoretical calculations and experimental observations for the rate for the process e+e-→J/ψ+ηc 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. 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. and yield a similar cross section. However, when we subtract parts of the light-cone distribution functions that correspond to corrections of relative-order αs in the NRQCD approach, we find that the cross section decreases by about a factor of three. When we set certain renormalization factors Zi 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.

Original languageEnglish
Article number114028
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume74
Issue number11
DOIs
Publication statusPublished - 2006 Dec 1

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cones
Cone
quantum chromodynamics
Cross section
cross sections
Distribution Function
distribution functions
factorization
Quarks
Factorization
Momentum
quarks
momentum
industrial plants
Renormalization
Wave Function
Discrepancy
unity
Enhancement
wave functions

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Mathematical Physics

Cite this

Reconciling the light-cone and nonrelativistic QCD approaches to calculating e+e-→J/ψ+ηc. / Bodwin, Geoffrey T.; Kang, Daekyoung; Lee, Jungil.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 74, No. 11, 114028, 01.12.2006.

Research output: Contribution to journalArticle

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