Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2011-07-07
JHEP01(2012)046
Physics
High Energy Physics
High Energy Physics - Lattice
23 pages, 10 figures, 2 tables. Added appendix showing the agreement of the data for the ratios with the HQE prediction. Match
Scientific paper
10.1007/JHEP01(2012)046
We present a lattice QCD determination of the b quark mass and of the B and B_s decay constants, performed with N_f=2 twisted mass Wilson fermions, by simulating at four values of the lattice spacing. In order to study the b quark on the lattice, two methods are adopted in the present work, respectively based on suitable ratios with exactly known static limit and on the interpolation between relativistic data, evaluated in the charm mass region, and the static point, obtained by simulating the HQET on the lattice. The two methods provide results in good agreement. For the b quark mass in the MSbar scheme and for the decay constants we obtain m_b(m_b)=4.29(14) GeV, f_B=195(12) MeV, f_Bs=232(10) MeV and f_Bs/f_B=1.19(5). As a byproduct of the analysis we also obtain the results for the f_D and f_Ds decay constants: f_D=212(8) MeV, f_Ds=248(6) MeV and f_Ds/f_D=1.17(5).
Dimopoulos Petros
ETM Collaboration
Frezzotti Roberto
Herdoiza Gregorio
Lubicz Vittorio
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