Relativistic Corrections to the Exclusive Decays of C-even Bottomonia into S-wave Charmonium Pairs

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 ${\chi }_{b2}\to {\eta }_c(mS)+{\eta }_c(nS)$ 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 an or two orders of magnitudes.

20 pages, 1 figure. Typos corrected, published version

References in corpus (16)

• Improved determination of color-singlet nonrelativistic QCD matrix elements for S-wave charmonium
• Resummation of Relativistic Corrections to e+ e- -> J/psi+eta_c
• Potential-model calculation of an order-v^2 NRQCD matrix element
• Reconciling the light-cone and nonrelativistic QCD approaches to calculating e+ e- -> J/psi + eta_c
• NRQCD matrix elements for S-wave bottomonia and Gamma[eta_b(nS) -> gamma gamma] with relativistic corrections
• $O({\alpha }_s{v}^2)$ Corrections to Hadronic and Electromagnetic Decays of ${}^1{S}_0$ Heavy Quarkonium
• Factorization in exclusive quarkonium production
• Factorization theorems for exclusive heavy-quarkonium production
• Exclusive $et{a}_b$ decay to double $J/\psi$ at next-to-leading order in $alph{a}_s$
• Which hadronic decay modes are good for ${\eta }_b$ searching: double $J/\psi$ or something else?
• Inclusive Charm Production in chi_b Decays
• Inclusive Charm Production in Upsilon(nS) Decay
• Pseudoscalar Quarkonium Exclusive Decays to Vector Meson Pair
• Order-alpha_s corrections to the quarkonium electromagnetic current at all orders in the heavy-quark velocity
• Relativistic corrections to the axial vector and vector currents in the bar{b}c meson system at order alpha_s
• Exclusive decay of P-wave Bottomonium into double J/ψ

Cited by in corpus (11)

• QCD and strongly coupled gauge theories: challenges and perspectives
• The Physics of the B Factories
• Relativistic Correction to Color Octet J/psi Production at Hadron Colliders
• Exclusive decay of ${\rm Y}$ into $J/\psi +{\chi }_{c0,1,2}$
• Search for double charmonium decays of the P-wave spin-triplet bottomonium states
• The Exclusive Decay of Upsilon into $h_c$, the $X(3940)$ and $X(4160)$
• NLO corrections to ${\chi }_{bJ}$ to two-$J/\psi$ exclusive decay processes
• Relativistic corrections to ${\rm Y}$ exclusive decay into double $S-$wave charmonia
• Experimental review of the ${\rm Y}(1S,2S,3S)$ physics at $e^{+}{e}^{-}$ colliders and the LHC
• Order-$v^4$ Relativistic Corrections to ${\rm Y}$ Inclusive Decay into a Charm pair
• Analytical calculation of heavy quarkonia production processes in computer