Next-to-next-to-leading-order QCD corrections to hadronic width of pseudoscalar quarkonium

Abstract

We compute the next-to-next-to-leading order (NNLO) QCD corrections to the hadronic decay rates of the pseudoscalar quarkonia, at the lowest order in velocity expansion. The validity of NRQCD factorization for inclusive quarkonium decay process, for the first time, is verified to relative order ${\alpha }_s^2$. As a byproduct, the renormalization group equation (RGE) of the leading NRQCD 4-fermion operator ${\mathcal{O}}_1({}^1{S}_0)$ is also deduced to this perturbative order. By incorporating this new piece of correction together with available relativistic corrections, we find that there exists severe tension between the state-of-the-art NRQCD predictions and the measured ${\eta }_c$ hadronic width, and in particular the branching fraction of ${\eta }_c\to \gamma \gamma$. NRQCD appears to be capable of accounting for ${\eta }_b$ hadronic decay to a satisfactory degree, and our most refined prediction is $\mathrm{Br}({\eta }_b\to \gamma \gamma )=(4.8\pm 0.7)\times 10^{-5}$.

arXiv commentv3, 6 pages, 3 figures; minor errors corrected, text improved

References in corpus (32)

• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• Generating Feynman Diagrams and Amplitudes with FeynArts 3
• The total top quark pair production cross-section at hadron colliders through O(alpha_S^4)
• Higgs boson production at hadron colliders in NNLO QCD
• Cuba - a library for multidimensional numerical integration
• RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses
• FIRE5: a C++ implementation of Feynman Integral REduction
• Two-loop Correction to the Leptonic Decay of Quarkonium
• Two-loop QCD corrections to the heavy quark pair production cross section in e+e- annihilation near the threshold
• The three loop on-shell renormalization of QCD and QED
• Four-Particle Phase Space Integrals in Massless QCD
• Order-v^4 Corrections to S-wave Quarkonium Decay
• FIESTA 3: cluster-parallelizable multiloop numerical calculations in physical regions
• Improved determination of color-singlet nonrelativistic QCD matrix elements for S-wave charmonium
• $Apart: A Generalized Mathematica Apart Function
• Virtual amplitudes and threshold behaviour of hadronic top-quark pair-production cross sections
• Two-Loop Planar Corrections to Heavy-Quark Pair Production in the Quark-Antiquark Channel
• Two Photon Decays of Charmonia from Lattice QCD
• Charmonium decays: J/psi --> e+e- and eta_c --> gamma gamma
• Leptonic decay of the Upsilon(1S) meson at third order in QCD
• Can NRQCD explain the $\gamma {\gamma }^{\ast }\to {\eta }_c$ transition form factor data?
• Three-loop matching of the vector current
• NRQCD matrix elements for S-wave bottomonia and Gamma[eta_b(nS) -> gamma gamma] with relativistic corrections
• $O({\alpha }_s{v}^2)$ Corrections to Hadronic and Electromagnetic Decays of ${}^1{S}_0$ Heavy Quarkonium
• Erratum: Order-v^4 corrections to S-wave quarkonium decay [Phys. Rev. D 66, 094011 (2002)]
• Hadronic quarkonium decays at order v^7
• Two Photon Transition Form Factor of $\bar{c}c$ Quarkonia
• $O({\alpha }_s{v}^2)$ correction to pseudoscalar quarkonium decay to two photons
• Two-loop QCD Corrections to $B_c$ Meson Leptonic Decays
• Next-to-next-to-leading-order QCD corrections to ${\chi }_{c0,2}\to \gamma \gamma$
• 2-loop QCD corrections to Bc-meson leptonic constant
• Parallelization of adaptive MC Integrators

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• First-principle calculation of ${\eta }_c\to 2\gamma$ decay width from lattice QCD
• Two-loop form factors for pseudo-scalar quarkonium production and decay
• Inclusive decays of ${\eta }_c$ and ${\eta }_b$ at NNLO with large $n_f$ resummation
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• Observation of the charmonium decay ${\eta }_c\to \gamma \gamma$ in $J/\psi \to \gamma {\eta }_c$
• Kinematic distributions of the ${\eta }_c$ photoproduction in $ep$ collisions within the nonrelativistic QCD framework
• Relativistic dynamics of charmonia in strong magnetic fields
• Self-consistent analysis for the ${\eta }_c\to \gamma \gamma$ process
• Sunrise integral with two internal masses and pseudo-threshold kinematics in terms of elliptic polylogarithms
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• Color-octet nonrelativistic QCD matrix elements for heavy quarkonium decays in the refined Gribov-Zwanziger theory
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