AN ANALYTIC METHOD OF DESCRIBING R-RELATED QUANTITIES IN QCD

2005/12/30 by K. A. Milton, K. A. MILTON, I. L. Solovtsov +3 · 1 citation
Computer Science · Physics and Astronomy · #Anomalous magnetic dipole moment #Character (mathematics) #Computational Physics and Python Applications #Gravitational singularity #Hadron #Moment (physics) #Particle physics theoretical and experimental studies #Quantum and Classical Electrodynamics #Quantum chromodynamics #Quark #Quark model #hep-ph

paper · pdf · doi:10.1142/s0217732306020767

published as Mod.Phys.Lett.A21:1355-1368,2006 · 16 pages, 6 eps figures, references added

arxiv created 2005/12/30 · openalex publication_date 2006/06/07 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

A model based on the analytic approach to QCD, involving a summation of threshold singularities and taking into account the nonperturbative character of the light quark masses, is applied to find hadronic contributions to different physical quantities. It is shown that the suggested model allows us to describe well such objects as the hadronic contribution to the anomalous magnetic moment of the muon, the ratio of hadronic to leptonic τ-decay widths in the vector channel, the Adler D-function, the smeared R Δ -function, and the hadronic contribution to the evolution of the fine structure constant.

Citations

• Analytic Model for the QCD Running Coupling with Universalα¯s(0)Value
• Hadronic contributions to the muon g−2 and low-energy QCD
• Analytic perturbation theory in QCD and Schwinger’s connection between theβfunction and the spectral density
• The analytic approach in quantum chromodynamics
• Analytic perturbation theory and inclusive τ decay
• Vector and axial-vector correlators in a non-local chiral quark model
• Analytic perturbation theory: A new approach to the analytic continuation of the strong coupling constantαSinto the timelike region
• Measurement of the Negative Muon Anomalous Magnetic Moment to 0.7 ppm
• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)

Cited by

• Ten years of the analytic perturbation theory in QCD