Reconstruction of heavy quark current correlators at O(αs3)

2009/07/13 by Y. Kiyo, A. Maier, Andreas Maier +4 · 1 citation
Mathematics · Physics and Astronomy · #Conformal map #Current (fluid) #Geometry #High-Energy Particle Collisions Research #Mathematical analysis #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pseudovector #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quark #Scalar (mathematics) #hep-ph

paper · pdf · doi:10.1016/j.nuclphysb.2009.08.010

published as Nucl.Phys.B823:269-287,2009 · 24 pages, 4 figures

arxiv created 2009/07/13 · openalex publication_date 2009/08/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We construct approximate formulas for the O(α_s³) QCD contributions to vector, axial-vector, scalar and pseudo-scalar quark current correlators, which are valid for arbitrary values of momenta and masses. The derivation is based on conformal mapping and the Pade approximation procedure and incorporates known expansions in the low energy, threshold and high energy regions. We use our results to estimate additional terms in these expansions.

Citations

• Fermionic corrections to the three-loop matching coefficient of the non-relativistic vector current
• Quadratic mass corrections of order to the decay rate of Z- and W-bosons
• 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

Cited by

• The bottom-quark mass from non-relativistic sum rules at NNNLO

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