Two-Loop Ultrasoft Running of the O(v^2) QCD Quark Potentials

Abstract

The two-loop ultrasoft contributions to the next-to-leading logarithmic (NLL) running of the QCD potentials at order v^2 are determined. The results represent an important step towards the next-to-next-to-leading logarithmic (NNLL) description of heavy quark pair production and annihilation close to threshold.

arXiv comment13 pages, 3 figures; typos corrected, reference added, information on cross checks added on page 7; acknowledgments added

References in corpus (17)

• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• The HQET/NRQCD Lagrangian to order alpha/m^3
• Renormalization group scaling in nonrelativistic QCD
• The infrared behaviour of the static potential in perturbative QCD
• Heavy Quark Pair Production near Threshold with Potential Non-Relativistic QCD
• The Threshold t-tbar Cross Section at NNLL Order
• Renormalization group improvement of the NRQCD Lagrangian and heavy quarkonium spectrum
• A Renormalization Group Improved Calculation of Top Quark Production near Threshold
• Spin Dependence of Heavy Quarkonium Production and Annihilation Rates: Complete Next-to-Next-to-Leading Logarithmic result
• Renormalization group analysis of the QCD quark potential to order v^2
• Next-to-leading-log renormalization-group running in heavy-quarkonium creation and annihilation
• Running of the heavy quark production current and 1/k potential in QCD
• Ultrasoft Renormalization in Non-Relativistic QCD
• Three-Loop Anomalous Dimension of the Heavy Quark Pair Production Current in Non-Relativistic QCD
• $M(B_c^{\ast })-M(B_c)$ Splitting from Nonrelativistic Renormalization Group
• Heavy Pair Production Currents with General Quantum Numbers in Dimensionally Regularized NRQCD
• Renormalization Group Analysis in NRQCD for Colored Scalars

Cited by in corpus (13)

• Heavy quarkonium: progress, puzzles, and opportunities
• Review of Heavy Quarkonium at weak coupling
• The Top-Antitop Threshold at the ILC: NNLL QCD Uncertainties
• Renormalization Group Improved Bottom Mass from Upsilon Sum Rules at NNLL Order
• Phase Space Matching and Finite Lifetime Effects for Top-Pair Production Close to Threshold
• Fully-differential Top-Pair Production at a Lepton Collider: From Threshold to Continuum
• P-wave heavy quarkonium spectrum with next-to-next-to-next-to-leading logarithmic accuracy
• Ultrasoft NLL Running of the Nonrelativistic O(v) QCD Quark Potential
• Next-to-leading ultrasoft running of the heavy quarkonium potentials and spectrum: Spin-independent case
• Top quark precision physics at the International Linear Collider
• S-wave heavy quarkonium spectrum with next-to-next-to-next-to-leading logarithmic accuracy
• Relativistic corrections to the static energy in terms of Wilson loops at weak coupling
• Manifestly Soft Gauge Invariant Formulation of vNRQCD