Order alpha_s^3 ln^2(1/alpha_s) Corrections to Heavy-Quarkonium Creation and Annihilation

Abstract

In the framework of nonrelativistic QCD, we compute the leading double-logarithmic corrections of order alpha_s^3 ln^2(1/alpha_s) to the heavy-quark-antiquark bound-state wave function at the origin, which determines the production and annihilation rates of heavy quarkonia. The phenomenological implications for the top-antitop and Upsilon systems are discussed.

14 pages (Latex), 1 figures (Axodraw); text slightly extended, a few typos corrected, three references added; accepted for publication in Nucl. Phys. B

References in corpus (2)

• Ultrasoft Effects in Heavy-Quarkonium Physics
• The Heavy Quarkonium Spectrum at Order $m{\alpha }_s^5\ln {\alpha }_s$

Cited by in corpus (50)

• Effective field theories for heavy quarkonium
• Potential NRQCD and Heavy-Quarkonium Spectrum at Next-to-Next-to-Next-to-Leading Order
• Heavy Quarkonium Spectrum at $\mathcal{O}({\alpha }_s^5{m}_q)$ and Bottom/Top Quark Mass Determination
• Third-order Coulomb corrections to the S-wave Green function, energy levels and wave functions at the origin
• Quarkonium spectroscopy and perturbative QCD: massive quark-loop effects
• Heavy Quark Pair Production near Threshold with Potential Non-Relativistic QCD
• Review of Heavy Quarkonium at weak coupling
• Quarkonium Spectroscopy and Perturbative QCD: A New Perspective
• $M({\eta }_b)$ and ${\alpha }_s$ from Nonrelativistic Renormalization Group
• The Threshold t-tbar Cross Section at NNLL Order
• Order alpha^7 ln(1/alpha) Contribution to Positronium Hyperfine Splitting
• Renormalization group improvement of the NRQCD Lagrangian and heavy quarkonium spectrum
• A Renormalization Group Improved Calculation of Top Quark Production near Threshold
• Nonabelian alpha_s^3/(m_q r^2) heavy-quark-antiquark potential
• Heavy Quarkonium Spectrum and Production/Annihilation Rates to order ${\beta }_0^3{\alpha }_s^3$
• Spin Dependence of Heavy Quarkonium Production and Annihilation Rates: Complete Next-to-Next-to-Leading Logarithmic result
• The QCD heavy-quark potential to order v^2: one loop matching conditions
• Ultrasoft contribution to quarkonium production and annihilation
• Determination of the top quark mass circa 2013: methods, subtleties, perspectives
• Running of the heavy quark production current and 1/k potential in QCD
• Next-to-leading-log renormalization-group running in heavy-quarkonium creation and annihilation
• Ultrasoft Renormalization in Non-Relativistic QCD
• Charmonium decays: J/psi --> e+e- and eta_c --> gamma gamma
• Order alpha^3 ln(1/alpha) Corrections to Positronium Decays
• $M(B_c^{\ast })-M(B_c)$ Splitting from Nonrelativistic Renormalization Group
• Two-Loop Static QCD Potential for General Colour State
• Relativistic effects in the production of pseudoscalar and vector doubly heavy mesons from e^+e^- annihilation
• Third-order non-Coulomb correction to the S-wave quarkonium wave functions at the origin
• Heavy-quarkonium creation and annihilation with O(alpha_s^3 ln(alpha_s)) accuracy
• Fermionic Corrections to the Three-Loop Matching Coefficient of the Vector Current
• Bottom Quark Mass from ${\rm Y}$ Sum Rules to $\mathcal{O}({\alpha }_s^3)$
• Threshold production of unstable top
• Improved Perturbative QCD Approach to the Bottomonium Spectrum
• QCD moment sum rules for Coulomb systems: the charm and bottom quark masses
• Spectroscopy, leptonic decays and the nature of heavy quarkonia
• O(alpha_s^5 m) quarkonium 1S spectrum in large-beta_0 approximation and renormalon cancellation
• Semi-inclusive radiative decays of Upsilon 1S
• The renormalization group for correlated scales: one-stage versus two-stage running
• Renormalization group improvement of the spectrum of Hydrogen-like atoms with massless fermions
• Top mass determination and O (alpha_S^5 m) correction to toponium 1S energy level
• Overview of Non-Relativistic QCD
• Top Quark Threshold Production at a gamma-gamma Collider at Next-to-Next-to-Leading Order
• Renormalization group improved pQCD prediction for ${\rm Y}(1S)$ leptonic decay
• Heavy quark mass determination from the quarkonium ground state energy: a pole mass approach
• Heavy Quarkonium Physics beyond the Next-to-Next-to-Leading Order of NRQCD
• One-loop corrections of order (Z alpha)^6m_1/m_2, (Z alpha)^7 to the muonium fine structure
• Perturbative quark bound states in pNRQCD
• Model Independent Results for Heavy Quarkonium
• Top quark threshold production in $\gamma \gamma$ collisions: current theoretical issues
• Potential Nonrelativistic QCD and Heavy Quarkonium Spectrum in Next-to-Next-to-Next-to-Leading Order