$O({\alpha }_s{v}^2)$ Corrections to Hadronic and Electromagnetic Decays of ${}^1{S}_0$ Heavy Quarkonium

Abstract

We study $O({\alpha }_s{v}^2)$ corrections to decays of ${}^1{S}_0$ heavy quarkonium into light hadrons and two photons within the framework of nonrelativistic QCD, and find these $O({\alpha }_s{v}^2)$ corrections to have significant contributions especially for the decay into light hadrons. With these new results, experimental measurements of the hadronic width and the $\gamma \gamma$ width of ${\eta }_c$ can be described more consistently. By fitting experimental data, we find the long-distance matrix elements of ${\eta }_c$ to be $|{\mathcal{R}}_{{\eta }_c}(0){|}^2=0.834_{-0.197}^{+0.281}{\text{GeV}}^3$ and $<{\mathbf{v}}^2{>}_{{\eta }_c}=0.232_{-0.098}^{+0.121}$. Moreover, ${\eta }_c(2S)$ is also discussed and the $\gamma \gamma$ decay width is predicted to be $3.34_{-2.10}^{+2.06}\text{KeV}$.

Version published in PRD, 22 pages, 7 figures, references added

References in corpus (7)

• Improved determination of color-singlet nonrelativistic QCD matrix elements for S-wave charmonium
• Relativistic corrections to $J/\psi$ exclusive and inclusive double charm production at B factories
• Potential-model calculation of an order-v^2 NRQCD matrix element
• NRQCD matrix elements for S-wave bottomonia and Gamma[eta_b(nS) -> gamma gamma] with relativistic corrections
• Predictions of Light Hadronic Decays of Heavy Quarkonium 1D_2 States in NRQCD
• Two-photon width of eta_c and eta'_c from Heavy-Quark Spin Symmetry
• Two-photon width of eta_b, eta'_b and eta''_b from Heavy-Quark Spin Symmetry

Cited by in corpus (16)

• ${\eta }_c$ production at the LHC challenges nonrelativistic-QCD factorization
• $O({\alpha }_s{v}^2)$ correction to $e^{+}{e}^{-}\to J/\psi +{\eta }_c$ at $B$ factories
• Next-to-next-to-leading-order QCD corrections to hadronic width of pseudoscalar quarkonium
• Relativistic Correction to Color Octet J/psi Production at Hadron Colliders
• $\overline{\mathrm{MS}}$ renormalization of $S$-wave quarkonium wavefunctions at the origin
• Reconciling the nonrelativistic QCD prediction and the $J/\psi \to 3\gamma$ data
• Next-to-leading-order QCD corrections to a vector bottomonium radiative decay into a charmonium
• Relativistic corrections to prompt $J/\psi$ photo- and hadroproduction
• $\mathcal{O}({\alpha }_s{v}^2)$ corrections to hadronic decay of vector quarkonia
• Analyzing the semileptonic and nonleptonic $B_c\to J/\psi ,{\eta }_c$ decays
• Current Topics in Heavy Quarkonium Physics
• Self-consistent analysis for the ${\eta }_c\to \gamma \gamma$ process
• Correlated study on some $B_c\to P$ and $B_c\to S$ wave channels in light of new inputs
• Reconsideration of the QCD corrections to the ${\eta }_c$ decays into light hadrons using the principle of maximum conformality
• Higher-order corrections to exclusive production of charmonia at B factories
• Transition Form-Factor for ${\eta }_Q$ at NNLO in the strong coupling ${\alpha }_s$ and with all-order $v^2$ resummation