Analytic reconstruction of heavy-quark two-point functions atO(αs3)

2011/04/18 by David Greynat, Pere Masjuan, Santiago Peris · 1 citation
Mathematics · Physics and Astronomy · #Geometry #High-Energy Particle Collisions Research #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pseudoscalar #Quantum Chromodynamics and Particle Interactions #Quark #Scalar (mathematics) #hep-lat #hep-ph

paper · pdf · doi:10.1103/physrevd.85.054008

19 pages, 11 figures

arxiv created 2011/04/18 · openalex publication_date 2012/03/13 · arxiv updated 2013/05/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Using a method previously developed, based on the Mellin-Barnes transform, we reconstruct the two-point correlators in the vector, axial, scalar, and pseudoscalar channels at O(\ensuremathα_s³) from the Taylor expansion at q²=0, the threshold expansion at q²=4m² and the high-energy expansion at q²\ensuremath→\ensuremath-\ensuremath∞, where m is the heavy quark mass. The reconstruction is analytic and systematic and is controlled by an error function which becomes smaller as more terms in those expansions are known.

Citations

• Three-loop QED Vacuum Polarization and the Four--loop Muon Anomalous Magnetic Moment
• Heavy quark masses from sum rules in four-loop approximation
• Four-loop moments of the heavy quark vacuum polarization function in perturbative QCD
• Top quark threshold production in γγ collision in the next-to-leading order
• Mass corrections to the vector current correlator
• High-precision charm-quark mass and QCD coupling from current-current correlators in lattice and continuum QCD

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• Hadronic vacuum polarization using gradient flow