Moments of heavy–light current correlators up to three loops

2011/03/08 by Jens Hoff, Matthias Steinhauser
Mathematics · Physics and Astronomy · #Current (fluid) #Diagonal #Geometry #High-Energy Particle Collisions Research #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pseudovector #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quark #Scalar (mathematics) #Zero (linguistics) #hep-ph

paper · pdf · doi:10.1016/j.nuclphysb.2011.04.007

21 pages

arxiv created 2011/03/08 · openalex publication_date 2011/04/19 · arxiv updated 2015/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider moments of the non-diagonal vector, axial-vector, scalar and pseudo-scalar current correlators involving two different massive quark flavours up to three-loop accuracy. Expansions around the limits where one mass is zero and the equal-mass case are computed. These results are used to construct approximations valid for arbitrary mass values.

Citations

• Automatic application of successive asymptotic expansions of Feynman diagrams
• New features of FORM
• Heavy quark masses from sum rules in four-loop approximation
• Four-loop moments of the heavy quark vacuum polarization function in perturbative QCD
• High-precision charm-quark mass and QCD coupling from current-current correlators in lattice and continuum QCD