Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2007-10-11
JHEP 0801:076,2008
Physics
High Energy Physics
High Energy Physics - Lattice
16 pages all included
Scientific paper
10.1088/1126-6708/2008/01/076
We demonstrate how HQET and the Step Scaling Method for B-physics, pioneered by the Tor Vergata group, can be combined to reach a further improved precision. The observables considered are the mass of the b-quark and the B_s-meson decay constant. The demonstration is carried out in quenched lattice QCD. We start from a small volume, where one can use a standard O(a)-improved relativistic action for the b-quark, and compute two step scaling functions which relate the observables to the large volume ones. In all steps we extrapolate to the continuum limit, separately in HQET and in QCD for masses below m_b. The physical point m_b is then reached by an interpolation of the continuum results in 1/m. The essential, expected and verified, feature is that the step scaling fuctions have a weak mass-dependence resulting in an easy interpolation to the physical point. With r_0=0.5fm and the experimental B_s and K masses as input, we find F_Bs=191(6)MeV and the renormalization group invariant mass M_b=6.88(10)GeV, translating into m_b(m_b)=4.42(6)GeV in the MSbar scheme. This approach seems very promising for full QCD.
Guazzini Damiano
Sommer Rainer
Tantalo Nazario
No associations
LandOfFree
Precision for B-meson matrix elements does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Precision for B-meson matrix elements, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Precision for B-meson matrix elements will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-541827