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A N_f = 2 + 1 + 1 "twisted" determination of the b-quark mass, f_(B) and f_(B_s)

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arxiv 1311.2837 v1 pith:U62XCK7H submitted 2013-11-12 hep-lat

A N_f = 2 + 1 + 1 "twisted" determination of the b-quark mass, f_(B) and f_(B_s)

classification hep-lat
keywords massquarkdeterminationlatticelimitmassesperformedtwisted
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 $f_{B_s}$ and $f_B$ decay constants performed with $N_f = 2 + 1 + 1$ twisted mass Wilson fermions. We have used simulations at three values of the lattice spacing generated by ETMC with pion masses ranging from 210 to 440 MeV. To obtain physical quantities we performed a combined chiral and continuum limit and an extrapolation in the heavy quark mass from the charm to the $b$-quark region using suitable ratios calculated at nearby heavy-quark masses having an exactly known static limit. Our results are: $m_b(m_b) = 4.29 (13)$ GeV, $f_B = 196 (9)$ MeV, $f_{B_s} = 235 (9)$ MeV, $f_{B_s} / f_B = 1.201 (25)$, $(f_{B_s}/f_B)/(f_K/f_\pi) = 1.007 (16)$ and $(f_{B_s}/f_B)/(f_{D_s}/f_D) = 1.008 (13)$.

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