QCD and Relativistic $O({\alpha }_s{v}^2)$ Corrections to Hadronic Decays of Spin-Singlet Heavy Quarkonia $h_c,h_b$ and ${\eta }_b$

Abstract

We calculate the annihilation decay widths of spin-singlet heavy quarkonia $h_c,h_b$ and ${\eta }_b$} into light hadrons with both QCD and relativistic corrections at order $O({\alpha }_s{v}^2)$ in nonrelativistic QCD. With appropriate estimates for the long-distance matrix elements by using the potential model and operator evolution method, we find that our predictions of these decay widths are consistent with recent experimental measurements. We also find that the $O({\alpha }_s{v}^2)$ corrections are small for $b\bar{b}$ states but substantial for $c\bar{c}$ states. In particular, the negative contribution of $O({\alpha }_s{v}^2)$ correction to the $h_c$ decay can lower the decay width, as compared with previous predictions without the $O({\alpha }_s{v}^2)$ correction, and thus result in a good agreement with the recent BESIII measurement.

version published in PRD, 30 pages, 8 figures, more discussions on LDMEs added

References in corpus (10)

• Higher Charmonia and X,Y,Z states with Screened Potential
• First observation of the P-wave spin-singlet bottomonium states h_b(1P) and h_b(2P)
• Evidence for the eta_b(2S) and observation of h_b(1P) -> eta_b(1S) gamma and h_b(2P) -> eta_b(1S) gamma
• Observation of the h_c(1P) using e^+e^- collisions above DDbar threshold
• $O({\alpha }_s{v}^2)$ Corrections to Hadronic and Electromagnetic Decays of ${}^1{S}_0$ Heavy Quarkonium
• Predictions of Light Hadronic Decays of Heavy Quarkonium 1D_2 States in NRQCD
• $O({\alpha }_s{v}^2)$ correction to pseudoscalar quarkonium decay to two photons
• Inclusive Charm Production in Upsilon(nS) Decay
• B-meson Semi-inclusive Decay to $2^{-+}$ Charmonium in NRQCD and X(3872)
• Branching fractions for Y(3S) -> pi^0 h_b and psi(2S) -> pi^0 h_c

Cited by in corpus (11)

• QCD and strongly coupled gauge theories: challenges and perspectives
• ${\alpha }_s{v}^2$ corrections to ${\eta }_c$ and ${\chi }_{cJ}$ production recoiled with a photon at $e^{+}{e}^{-}$ colliders
• QCD Factorization for Quarkonium Production in Hadron Collions at Low Transverse Momentum
• Pseudoscalar Quarkonium+gamma Production at NLL+NLO accuracy
• Bottomonium spectroscopy motivated by general features of pNRQCD
• Hadronic decays of the spin-singlet heavy quarkomium under the principle of maximum conformality
• First observations of $h_c\to$ hadrons
• Inclusive $h_c$ production and energy spectrum from $e^{+}{e}^{-}$ annihilation at Super $B$ factory
• Search for $C=+$ charmonium and XYZ states in $e^{+}{e}^{-}\to \gamma +H$ at BESIII
• NLO corrections to ${\chi }_{bJ}$ to two-$J/\psi$ exclusive decay processes
• NLO QCD Corrections for ${\chi }_{cJ}$ Inclusive Production at $B$ Factories