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Bernardoni, F., Blossier, B., Bulava, J., Della Morte, M., Fritzsch, P., Garron, N., et al. (2015). B-meson spectroscopy in HQET at order 1/m. Phys. Rev. D, 92(5), 054509–25pp.
Abstract: We present a study of the B spectrum performed in the framework of heavy quark effective theory expanded to next-to-leading order in 1/m(b) and nonperturbative in the strong coupling. Our analyses have been performed on N-f = 2 lattice gauge field ensembles corresponding to three different lattice spacings and a wide range of pion masses. We obtain the B-s-meson mass and hyperfine splittings of the B-and B-s-mesons that are in good agreement with the experimental values and examine the mass difference m(Bs) – m(B) as a further cross-check of our previous estimate of the b-quark mass. We also report on the mass splitting between the first excited state and the ground state in the B and B-s systems.
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Bernardoni, F., Blossier, B., Bulava, J., Della Morte, M., Fritzsch, P., Garron, N., et al. (2014). The b-quark mass from non-perturbative N-f=2 Heavy Quark Effective Theory at O(1/m(h)). Phys. Lett. B, 730, 171–177.
Abstract: We report our final estimate of the b-quark mass from N-f = 2 lattice QCD simulations using Heavy Quark Effective Theory non-perturbatively matched to QCD at O(1/m(h)). Treating systematic and statistical errors in a conservative manner, we obtain (m) over bar ((MS) over bar)(b) (2 GeV) = 4.88(15) GeV after an extrapolation to the physical point.
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Bernardoni, F., Blossier, B., Bulava, J., Della Morte, M., Fritzsch, P., Garron, N., et al. (2014). Decay constants of B-mesons from non-perturbative HQET with two light dynamical quarks. Phys. Lett. B, 735, 349–356.
Abstract: We present a computation of B-meson decay constants from lattice QCD simulations within the framework of Heavy Quark Effective Theory for the b-quark. The next-to-leading order corrections in the HQET expansion are included non-perturbatively. Based on N-f = 2 gauge field ensembles, covering three lattice spacings a approximate to (0.08-0.05) fm and pion masses down to 190 MeV, a variational method for extracting hadronic matrix elements is used to keep systematic errors under control. In addition we perform a careful autocorrelation analysis in the extrapolation to the continuum and to the physical pion mass limits. Our final results read f(B) = 186(13) MeV, f(Bs) = 224(14) MeV and f(Bs)/f(B) = 1.203(65). A comparison with other results in the literature does not reveal a dependence on the number of dynamical quarks, and effects from truncating HQET appear to be negligible.
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Della Morte, M., Dooling, S., Heitger, J., Hesse, D., & Simma, H. (2014). Matching of heavy-light flavour currents between HQET at order 1/m and QCD: I. Strategy and tree-level study. J. High Energy Phys., 05(5), 060–31pp.
Abstract: We present a strategy how to match the full set of components of the heavy-light axial and vector currents in Heavy Quark Effective Theory (HQET), up to and including 1/m (h) -corrections, to QCD. While the ultimate goal is to apply these matching conditions non-perturbatively, in this study we first have implemented them at tree-level, in order to find good choices of the matching observables with small contributions. They can later be employed in the non-perturbative matching procedure which is a crucial part of precision HQET computations of semileptonic decay form factors in lattice QCD.
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