Fermionic corrections to the three-loop matching coefficient of the non-relativistic vector current

2006/07/14 by Peter Marquard, P. Marquard, Jan Piclum +5 · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/j.nuclphysb.2006.09.015

published as Nucl.Phys.B758:144-160,2006 · 21 pages

arxiv created 2006/07/14 · openalex publication_date 2006/10/26 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper we consider the matching coefficient of the vector current between Quantum Chromodynamics (QCD) and Non-Relativistic QCD (NRQCD) to three-loop order in perturbation theory. We evaluate the fermionic corrections containing a closed massless fermion loop. The results are building blocks both for the bottom and top quark system at threshold. We explain in detail the methods used for the evaluation of the Feynman diagrams, classify the occurring master integrals and provide results for the latter. The numerical effects are significant. They have the tendency to improve the behaviour of the perturbative series -- both for the bottom and top quark system.

Citations

• Bottom quark mass and |Vcb| matrix element from and Γs1(b → clνl) in the next-to-next-to-leading order
• New features of FORM
• Automatized analytic continuation of Mellin–Barnes integrals
• Explicit solutions of the 3-loop vacuum integral recurrence relations

Cited by

• Reconstruction of heavy quark current correlators at O(αs3)