Ultrasoft contribution to quarkonium production and annihilation

Abstract

We compute the third-order correction to electromagnetic S-wave quarkonium production and annihilation rates due to the emission and absorption of an ultrasoft gluon. Our result completes the analysis of the non-relativistic quarkonium bound-state dynamics in the next-to-next-to-next-to-leading order. The impact of the ultrasoft correction on the Upsilon(1S) leptonic width and the top quark-antiquark threshold production cross section is estimated.

arXiv comment10 pages

References in corpus (24)

• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• Asymptotic expansion of Feynman integrals near threshold
• Potential NRQCD: an effective theory for heavy quarkonium
• Effective Field Theory for Ultrasoft Momenta in NRQCD and NRQED
• Top quark production near threshold and the top quark mass
• Potential NRQCD and Heavy-Quarkonium Spectrum at Next-to-Next-to-Next-to-Leading Order
• Potential NRQED: The Positronium Case
• Ultrasoft Effects in Heavy-Quarkonium Physics
• Positronium S state spectrum: analytic results at O(m alpha^6)
• The b quark low-scale running mass from Upsilon sum rules
• 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
• The Lamb Shift in Dimensional Regularization
• Bottom quark pole mass and $|V_{cb}|$ matrix element from $R(e^{+}{e}^{-}\to b\bar{b})$ and ${\Gamma }_{sl}(b\to cl{\nu }_l)$ in the next-to-next-to-leading order
• Power Counting in Dimensionally Regularized NRQCD
• Rigourous QCD Evaluation of Spectrum and Other Properties of Heavy Quarkonium Systems; II Bottomium with n=2, l=0,1
• Heavy Quarkonium Spectrum and Production/Annihilation Rates to order ${\beta }_0^3{\alpha }_s^3$
• Running of the heavy quark production current and 1/k potential in QCD
• Three-Loop Anomalous Dimension of the Heavy Quark Pair Production Current in Non-Relativistic QCD
• Order alpha_s^3 ln^2(1/alpha_s) Corrections to Heavy-Quarkonium Creation and Annihilation
• Next-to-leading nonperturbative calculation in heavy quarkonium
• 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

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