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The ground state of bottomium to two loops and higher

2000/07/28 by F. J. Yndurain, Félix Ynduráin, Yndurain, F. J.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Nuclear physics research studies #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0007333

PlainTeX file

arxiv created 2000/07/28 · openalex publication_date 2000/07/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the properties of the ground state of bottomium. The Υ mass is evaluated to two loops, and including leading higher order [O(αs5logαs)] and mc2/mb2 corrections. This allows us to present updated values for the pole mass and MS mass of the b quark: mb=5022±58 MeV, for the pole mass, and mb(mb)=4286±36 MeV for the MS one. The value for the \msbar mass is accurate including and O(αs3) corrections and leading orders in the ratio mc2/mb2. We then consider the wave function for the ground state of bb, which is calculated to two loops in the nonrelativistic approximation. Taking into account the evaluation of the matching coefficients by Beneke and Signer one can calculate, in principle, the width for the decay Υ→ e+e- to order αs5. Unfortunately, given the size of the corrections it is impossible to produce reliable numbers. The situation is slightly better for the ground state of toponium, where a decay width into e+e- of 11 -- 14 keV is predicted.

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