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Lattice QCD determination of m_b, f_B and f_Bs with twisted mass Wilson fermions

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arxiv 1107.1441 v2 pith:OXKQNUSO submitted 2011-07-07 hep-lat hep-ph

Lattice QCD determination of m_b, f_B and f_Bs with twisted mass Wilson fermions

ETM Collaboration: P. Dimopoulos , R. Frezzotti , G. Herdoiza , V. Lubicz , C. Michael , D. Palao , G. C. Rossi , F. Sanfilippo
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A. Shindler S. Simula C. Tarantino M. Wagner
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classification hep-lat hep-ph
keywords latticemassconstantsdecayquarkdeterminationfermionsmethods
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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).

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