2000/08/10 by André H. Hoang, A. H. Hoang, Hoang, A. H. · 5 citations
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/0008102
70 pages, latex, 21 postscript figures included
arxiv created 2000/08/10 · openalex publication_date 2000/08/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The effects of the finite charm quark mass on bottom quark mass determinations from Υ sum rules are examined in detail. The charm quark mass effects are calculated at next-to-next-to-leading order in the non-relativistic power counting for the Υ sum rules and at order αs3 for the determination of the bottom MSbar mass. For the bottom 1S mass, which is extracted from the Υ sum rules directly, we obtain Mb1S=4.69± 0.03 GeV with negligible correlation to the value of the strong coupling. For the bottom MSbar mass we obtain Mb( Mb) = 4.17± 0.05 GeV taking αs(nl=5)(MZ)=0.118± 0.003 as an input. Compared with an analysis where all quarks lighter than the bottom are treated as massless, we find that the finite charm mass shifts the bottom 1S mass, Mb1S, by about -20 MeV and the MSbar mass, Mb( Mb), by -30 to -35 MeV.