Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2006-09-28
PoS LAT2006:084,2006
Physics
High Energy Physics
High Energy Physics - Lattice
Talk at Lattice 2006; to be published in Proceedings of Science as POS(LAT2006)084
Scientific paper
We compute the mass of the b-quark and the B_s meson decay constant in quenched lattice QCD using a combination of HQET and the standard relativistic QCD Lagrangian. We start from a small volume, where one can directly deal with the b-quark, and compute the evolution to a big volume, where the finite size effects are negligible through step scaling functions which give the change of the observables when L is changed to 2L. In all steps we extrapolate to the continuum limit, separately in HQET and in QCD for masses below m_b. The point m_b is then reached by an interpolation of the continuum results. With r_0=0.5 fm and the experimental B_s and K masses we find f_Bs=191(6) MeV and the renormalization group invariant mass M_b=6.89(11) GeV, translating into m_b(m_b)=4.42(7) GeV in the MS-bar scheme.
Guazzini Damiano
Sommer Rainer
Tantalo Nazario
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