Threshold expansion for heavy-light systems and flavor off-diagonal current-current correlators

2001/10/02 by Andrzej Czarnecki, Kirill Melnikov
Mathematics · Physics and Astronomy · #Current (fluid) #Diagonal #Feynman diagram #Geometry #High-Energy Particle Collisions Research #Massless particle #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quark #hep-ph

paper · pdf · doi:10.1103/physrevd.66.011502

published as Phys.Rev. D66 (2002) 011502 · 4 pages, revtex4

arxiv created 2001/10/02 · openalex publication_date 2002/07/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

An expansion scheme is developed for Feynman diagrams describing the production of one massive and one massless particle near the threshold. As an example application, we compute the correlators of heavy-light quark currents, b\ensuremathγ_\ensuremathμu, b\ensuremathγ₅u, through O(\ensuremathα_s²).

Citations

• Integration by parts: The algorithm to calculate β-functions in 4 loops
• Heavy quark effective theory beyond perturbation theory: renormalons, the pole mass and the residual mass term
• ASYMPTOTIC EXPANSIONS IN MOMENTA AND MASSES AND CALCULATION OF FEYNMAN DIAGRAMS
• Asymptotic expansion of Feynman integrals near threshold
• Calculating three-loop diagrams in heavy quark effective theory with integration-by-parts recurrence relations