Predictions of Light Hadronic Decays of Heavy Quarkonium 1D_2 States in NRQCD

Abstract

The inclusive light hadronic decays of 1D_2 heavy quarkonia are studied within the framework of NRQCD at the leading order in $v$ and up to the order of ${\alpha }_s^3$. With one-loop QCD corrections, the infrared divergences and Coulomb singularities in the decay amplitudes are proved to be absorbed by the renormalization of the matrix elements of corresponding NRQCD operators, and the infrared finite short-distance coefficients are obtained through the matching calculations. By taking the factorization scale to be 2m_Q, the light hadronic decay widths are estimated to be about 274, 4.7, and 8.8 KeV for the ${\eta }_{c2},{\eta }_{b2}$, and ${\eta }_{b2}^{\prime }$ respectively. Based on the above estimates, and using the E1 transition width and dipion transition width for the ${\eta }_{c2}$ estimated elsewhere, we get the total width of ${\eta }_{c2}$ to be about 660-810 KeV, and the branching ratio of the E1 transition ${\eta }_{c2}\to \gamma h_c$ to be about (44-54)%, which will be useful in searching for this missing charmonium state through, e.g., the process ${\eta }_{c2}\to \gamma h_c$ followed by $h_c\to \gamma {\eta }_c$.

arXiv comment27 pages, 10 figures

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Cited by in corpus (25)

• Charmonium spectrum and their electromagnetic transitions with higher multipole contributions
• Annihilation Rate of $2^{++}$ Charmonium and Bottomonium
• $O({\alpha }_s{v}^2)$ Corrections to Hadronic and Electromagnetic Decays of ${}^1{S}_0$ Heavy Quarkonium
• Relativistic Correction to J/psi and Upsilon Pair Production
• QCD corrections to $J/\psi$ production in association with a $W$-boson at the LHC
• Relativistic Correction to Color Octet J/psi Production at Hadron Colliders
• Fragmentation functions of polarized heavy quarkonium
• New factorization theory for heavy quarkonium production and decay
• NRQCD Predictions of D-Wave Quarkonia ${}^3{D}_J(J=1,2,3)$ Decay into Light Hadrons at Order ${\alpha }_s^3$
• ${\alpha }_s{v}^2$ corrections to ${\eta }_c$ and ${\chi }_{cJ}$ production recoiled with a photon at $e^{+}{e}^{-}$ colliders
• Breakdown of NRQCD Factorization in Processes Involving Two Quarkonia and its Cure
• QCD and Relativistic $O({\alpha }_s{v}^2)$ Corrections to Hadronic Decays of Spin-Singlet Heavy Quarkonia $h_c,h_b$ and ${\eta }_b$
• B-meson Semi-inclusive Decay to $2^{-+}$ Charmonium in NRQCD and X(3872)
• Prompt heavy quarkonium production in association with a massive (anti)bottom quark at the LHC
• Next-to-leading order QCD corrections to Higgs boson decay to quarkonium plus a photon
• Search for $C=+$ charmonium and XYZ states in $e^{+}{e}^{-}\to \gamma +H$ at BESIII
• Study on ${\eta }_{c2}({\eta }_{b2})$ electromagnetic decay into double photons
• First search for the ${\eta }_{c2}(1D)$ in $B$ decays at Belle
• Next-to-leading order QCD corrections to ${\chi }_{cJ}{W}^{+}b$ associated production from top-quark decay
• Associated production of ${\rm Y}(1S)W$ at LHC in next-to-leading order QCD
• General Form of $s$, $t$, $u$ Symmetric Polynomial and Heavy Quarkonium physics
• Search for the ${\eta }_{c2}(1D)$ in $e^{+}{e}^{-}\to \gamma {\eta }_{c2}(1D)$ at $\sqrt{s}$ near 10.6 GeV at Belle
• Overview of charmonium decays and production from Non-Relativistic QCD
• Production of $D$-wave states of $\bar{b}c$ quarkonium at the LHC
• Search for $e^{+}{e}^{-}\to \varphi {\chi }_{c0}$ and $\varphi {\eta }_{c2}(1D)$ at center-of-mass energies from 4.47 to 4.95 GeV