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 journalArticlepeer-review

14 Citations (Scopus)


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 vc 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 vc to the decay rate for χb2→ηc(mS)+ηc(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
Issue number7
Publication statusPublished - 2011 Oct 17

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


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