Running of the heavy quark production current and1/|k|potential in QCD

2000/03/31 by Aneesh V. Manohar, Iain W. Stewart · 61 citations
Mathematics · Physics and Astronomy · #Combinatorics #Dimension (graph theory) #High-Energy Particle Collisions Research #Logarithm #Mathematical analysis #Mathematical physics #Mathematics #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Physics #Production (economics) #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #Renormalization #Renormalization group #hep-ph

paper · pdf · doi:10.1103/physrevd.63.054004

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 63(5) (American Physical Society) · 30 pages, journal version

openalex publication_date 2001/01/23 · arxiv created 2001/01/26 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The 1/|k| contribution to the heavy quark potential is first generated at one loop order in QCD. We compute the two loop anomalous dimension for this potential, and find that the renormalization group running is significant. The next-to-leading-log coefficient for the heavy quark production current near threshold is determined. The velocity renormalization group result reproduces the \ensuremathα_s³ln²(\ensuremathα_s) ``nonrenormalization group logarithms'' of Kniehl and Penin.

Citations

• Rigorous QCD evaluation of spectrum and ground state properties of heavyqq¯systems, with a precision determination ofmb,M(ηb)
• Bottom quark mass fromΥmesons
• O(αs2)corrections toe+e−→tt¯total and differential cross sections near threshold
• Potential NRQCD: an effective theory for heavy quarkonium
• Top quark threshold production in γγ collision in the next-to-leading order
• Reparameterisation invariance constraints on heavy particle effective field theories
• Spin-dependent potential between heavy quark and antiquark
• Asymptotic expansion of Feynman integrals near threshold
• Renormalization group scaling of the1/m2HQET Lagrangian
• Singularities in the physical region
• Infrared behavior of the static potential in perturbative QCD
• QCD potential atO(1/m)