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 language | English |
|---|---|
| Article number | 074026 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 84 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 2011 Oct 17 |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
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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 journal › Article
}
TY - JOUR
T1 - Relativistic corrections to the exclusive decays of C-even bottomonia into S-wave charmonium pairs
AU - Sang, Wen Long
AU - Rashidin, Reyima
AU - Kim, U. Rae
AU - Lee, Jungil
PY - 2011/10/17
Y1 - 2011/10/17
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=80555136615&partnerID=8YFLogxK
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U2 - 10.1103/PhysRevD.84.074026
DO - 10.1103/PhysRevD.84.074026
M3 - Article
AN - SCOPUS:80555136615
VL - 84
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 0556-2821
IS - 7
M1 - 074026
ER -