Single scale tadpoles and O(GFmt2αs3) corrections to the ρ parameter

2006/06/30 by Radja Boughezal, R. Boughezal, M. Czakon · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/j.nuclphysb.2006.08.007

published as Nucl.Phys. B755 (2006) 221-238 · 20 pages, references added, final version as published in journal

openalex publication_date 2006/09/02 · arxiv created 2006/10/05 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We present a new set of high precision numerical values of four-loop single-scale vacuum integrals, which we subsequently use to obtain the non-singlet corrections to the rho parameter at O(GF mt² as³). Our result for Delta rho is in agreement with the recent calculation [1].

Citations

• Four-Loop QCD Corrections to the ElectroweakρParameter
• Four-loop moments of the heavy quark vacuum polarization function in perturbative QCD
• Automatized analytic continuation of Mellin–Barnes integrals
• Calculation of massless Feynman integrals using harmonic sums
• Bosonic corrections to the effective leptonic weak mixing angle at the two-loop level

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