TH Meeting on Particle Physics Phenomenology

The QCD potential in perturbative and lattice QCD and applications to qbar{q} spectroscopy

Name: The QCD potential in perturbative and lattice QCD and applications to qbar{q} spectroscopy
Start: 2004-09-03T14:00:00+02:00
End: 2004-09-03T15:00:00+02:00
Location: CERN

by Stefan Recksiegel (Technical University Munich)

Friday 3 Sept 2004, 14:00 → 15:00 Europe/Zurich

TH Auditorium (CERN)

TH Auditorium

CERN

Description

We compare the perturbatively calculated QCD potential to that obtained from lattice calculations in the theory without light quark flavours. We examine E_tot (r) = 2 m_pole + V_QCD (r) by re-expressing it in the \bar{MS} mass m = m^{{\bar MS}}(m^{{\bar MS}}) and by choosing specific prescriptions for fixing the scale μ (dependent on r and m). By adjusting m so as to maximise the range of convergence, we show that perturbative and lattice calculations agree up to 3 r₀ ~ 7.5 GeV^-1 (r₀ is the Sommer scale) within the perturbative uncertainty of order Λ³ r². A purely QCD based, model-independent calculation of the charmonium and bottomonium spectra that makes use of this potential is presented.