$O({\alpha }_s{v}^2)$ 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 $3.34_{-2.10}^{+2.06}\text{KeV}$.

arXiv commentVersion published in PRD, 22 pages, 7 figures, references added

References in corpus (23)

• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• Generating Feynman Diagrams and Amplitudes with FeynArts 3
• Potential NRQCD: an effective theory for heavy quarkonium
• Quarkonium Wave Functions at the Origin
• NLO Production and Decay of Quarkonium
• Solving the Schroedinger equation for bound states with Mathematica 3.0
• Order-v^4 Corrections to S-wave Quarkonium Decay
• Improved determination of color-singlet nonrelativistic QCD matrix elements for S-wave charmonium
• The QCD potential at O(1/m^2): Complete spin-dependent and spin-independent result
• Relativistic corrections to $J/\psi$ exclusive and inclusive double charm production at B factories
• Observation of eta_c^{prime} Production in gamma gamma Fusion at CLEO
• Potential-model calculation of an order-v^2 NRQCD matrix element
• Quarkonium Decay Matrix Elements from Quenched Lattice QCD
• Two-photon decay rates of heavy quarkonia in the relativistic quark model
• Charmonium decays: J/psi --> e+e- and eta_c --> gamma gamma
• Power counting and effective field theory for charmonium
• Bottomonium Decay Matrix Elements from Lattice QCD with Two Light Quarks
• NRQCD matrix elements for S-wave bottomonia and Gamma[eta_b(nS) -> gamma gamma] with relativistic corrections
• Electromagnetic quarkonium decays at order v^7
• 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
• Pseuduscalar Heavy Quarkonium Decays With Both Relativistic and QCD Radiative Corrections
• Two-photon width of eta_b, eta'_b and eta''_b from Heavy-Quark Spin Symmetry

Cited by in corpus (35)

• QCD and strongly coupled gauge theories: challenges and perspectives
• ${\eta }_c$ production at the LHC challenges nonrelativistic-QCD factorization
• Relativistic Correction to J/psi and Upsilon Pair Production
• $O({\alpha }_s{v}^2)$ correction to $e^{+}{e}^{-}\to J/\psi +{\eta }_c$ at $B$ factories
• Relativistic corrections to the form factors of $B_c$ into $S$-wave Charmonium
• 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
• ${\eta }_c$ mixing effects on charmonium and $B$ meson decays
• $\overline{\mathrm{MS}}$ renormalization of $S$-wave quarkonium wavefunctions at the origin
• ${\alpha }_s{v}^2$ corrections to ${\eta }_c$ and ${\chi }_{cJ}$ production recoiled with a photon at $e^{+}{e}^{-}$ colliders
• $\mathcal{O}({\alpha }_s{v}^2)$ correction to $J/\psi$ plus ${\eta }_c$ production in $e^{+}{e}^{-}$ annihilation at $\sqrt{s}=10.6GeV
• Relativistic Corrections to the Exclusive Decays of C-even Bottomonia into S-wave Charmonium Pairs
• Inclusive decays of ${\eta }_c$ and ${\eta }_b$ at NNLO with large $n_f$ resummation
• The heavy quarkonium inclusive decays using the principle of maximum conformality
• QCD and Relativistic $O({\alpha }_s{v}^2)$ Corrections to Hadronic Decays of Spin-Singlet Heavy Quarkonia $h_c,h_b$ and ${\eta }_b$
• Average speed and its powers $v^n$ of a heavy quark in quarkonia
• Hadronic decays of the spin-singlet heavy quarkomium under the principle of maximum conformality
• A solution to the $\gamma {\gamma }^{\ast }\to {\eta }_c$ puzzle using the Principle of Maximum Conformality
• Resummation of relativistic corrections to exclusive productions of charmonia in e+ e- collisions
• 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
• Search for $C=+$ charmonium and XYZ states in $e^{+}{e}^{-}\to \gamma +H$ at BESIII
• 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
• Relativistic corrections to the semi-inclusive decay of $\mathbf{\psi }$ and $\mathbf{{\rm Y}}$
• Relativistic corrections to ${\rm Y}$ exclusive decay into double $S-$wave charmonia
• Self-consistent analysis for the ${\eta }_c\to \gamma \gamma$ process
• Current Topics in Heavy Quarkonium Physics
• General Form of $s$, $t$, $u$ Symmetric Polynomial and Heavy Quarkonium physics
• Reconsideration of the QCD corrections to the ${\eta }_c$ decays into light hadrons using the principle of maximum conformality
• Correlated study on some $B_c\to P$ and $B_c\to S$ wave channels in light of new inputs
• Higher-order corrections to exclusive production of charmonia at B factories
• Order-$v^4$ Relativistic Corrections to ${\rm Y}$ Inclusive Decay into a Charm pair
• Transition Form-Factor for ${\eta }_Q$ at NNLO in the strong coupling ${\alpha }_s$ and with all-order $v^2$ resummation