Relativistic corrections to the exclusive decays of C-even bottomonia into S-wave charmonium pairs

Wen Long Sang, Reyima Rashidin, U. Rae Kim, Jungil Lee

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

Within the nonrelativistic quantum chromodynamics (NRQCD) factorization formalism, we compute the relativistic corrections to the exclusive decays of bottomonia with even charge conjugation parity into S-wave charmonium pairs at leading order in the strong coupling constant. Relativistic corrections are resummed for a class of color-singlet contributions to all orders in the charm-quark velocity v c in the charmonium rest frame. Almost every process that we consider in this work has negative relativistic corrections ranging from -20 to -35%. Among the various processes, the relativistic corrections of the next-to-leading order in v c to the decay rate for χ b2→η c(mS)+η c(nS) with m, n=1 or 2 are very large. In every case, the resummation of the relativistic corrections enhances the rate in comparison with the next-to-leading-order results. We compare our results with available predictions based on the NRQCD factorization formalism. The NRQCD predictions are significantly smaller than those based on the light-cone formalism by 1 or 2 orders of magnitude.

Original languageEnglish
Article number074026
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume84
Issue number7
DOIs
Publication statusPublished - 2011 Oct 17

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S waves
decay
quantum chromodynamics
formalism
factorization
predictions
conjugation
decay rates
cones
parity
quarks
color

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Relativistic corrections to the exclusive decays of C-even bottomonia into S-wave charmonium pairs. / Sang, Wen Long; Rashidin, Reyima; Kim, U. Rae; Lee, Jungil.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 84, No. 7, 074026, 17.10.2011.

Research output: Contribution to journalArticle

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