Vicent Mateu Barreda (Spain): Bottom and charm quark masses from quarkonium at N3LO

Freitag, 18. Mai 2018 16:15

Ort: Erwin-Schrödinger‐Hörsaal, Boltzmanngasse 5, 5. Stock

The bottomonium spectrum up to n = 3 is studied within Non‐Relativistic Quantum Chromodynamics up to N3LO. We consider finite charm quark mass effects both in the QCD potential and the MSbar‐pole mass relation up to third. The u = 1/2 renormalon of the static potential is canceled by expressing the bottom quark pole mass in terms of the MSR mass. A careful investigation of scale variation reveals that, while n = 1, 2 states are well behaved within perturbation theory, n = 3 bound states are no longer reliable.
Performing a fit to b‐bbar bound states we fit for the bottom mass. We extend our analysis to the lowest lying charmonium states to fit for the charm mass. Additionally, using a modified version of the MSR mass with lighter massive quarks we are able to predict the uncalculated O(as^4) virtual massive quark corrections to the relation between the MSbar and pole masses.


Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stock