$O({\alpha }_s{v}^2)$ correction to pseudoscalar quarkonium decay to two photons

Abstract

We investigate the $O({\alpha }_s{v}^2)$ correction to the process of pseudoscalar quarkonium decay to two photons in nonrelativistic QCD (NRQCD) factorization framework. The short-distance coefficient associated with the relative-order $v^2$ NRQCD matrix element is determined to next-to-leading order in ${\alpha }_s$ through the perturbative matching procedure. Some technical subtleties encountered in calculating the ${O(α_s)$ QCD amplitude are thoroughly addressed.

v2, 28 pages, 2 figures and 2 tables, matching the published version; typos corrected, references added, as well as a "Note added in the proof"

References in corpus (8)

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• Two-photon width of eta_c and eta'_c from Heavy-Quark Spin Symmetry
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• $O({\alpha }_s{v}^2)$ 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
• $\overline{\mathrm{MS}}$ 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
• Radiative Leptonic $B_c\to \gamma \ell \bar{\nu }$ Decay in Effective Field Theory beyond Leading Order
• $\mathcal{O}({\alpha }_s{v}^2)$ correction to $J/\psi$ plus ${\eta }_c$ production in $e^{+}{e}^{-}$ annihilation at $\sqrt{s}=10.6GeV
• 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 ${\eta }_b$
• Bottomonium spectroscopy motivated by general features of pNRQCD
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• 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
• $\mathcal{O}({\alpha }_s{v}^2)$ corrections to hadronic decay of vector quarkonia
• Current Topics in Heavy Quarkonium Physics
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• Reconsideration of the QCD corrections to the ${\eta }_c$ decays into light hadrons using the principle of maximum conformality
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• $\mathcal{O}({\alpha }_s)$ corrections to $e^{+}{e}^{-}\to J/\psi +{\eta }_{c2}({\chi }_{c1}^{\prime })$ at $B$ factories
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