B-meson spectroscopy in HQET at order1/m

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 ¼ 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 smesons that are in good agreement with the experimental values and examine the mass difference m B s − 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.

NeutralBmeson mixings andBmeson decay constants with static heavy and domain-wall light quarks

“…[50] also shows this tendency. However, ALPHA Collaboration's results on f B and f Bs in the static limit indicate much smaller deviation from those at physical b quark mass point [12]. We cannot conclude the reason of this difference from us, because our current uncertainty is still large.…”

“…(See Ref. [12] for their recent achievements.) In the procedure (ii), relatively finer lattices with regular size of volume are required.…”

“…The data is cited from Refs. [50] (ETM '11), [12] (ALPHA '14), [51] (HPQCD '13), [52] (ETM '13A), [53,54] (HPQCD '12A, HPQCD '12B), [55] (FNAL/MILC '11), [56] (RBC/UKQCD '14), [14] (ETM '13B) and [40] (RBC/UKQCD '10). The values of fB and fB s in ETM '11 are obtained from ΦB and ΦB s divided by √ mB and √ mB s , respectively.…”

Non-perturbative tests of continuum HQET through small-volume two-flavour QCD

“…It requires to solve a set of matching relations between quantities in continuum QCD and lattice HQET in a small physical volume. In twoflavour QCD, the resulting non-perturbative set of HQET parameters [9] was recently used to extract phenomenologically relevant parameters such as the b-quark mass, the B-meson decay constant and hyperfine splittings from large-volume simulations [10][11][12]. At present there are efforts to extend the matching strategy to include the vector meson channel [13,14] in order to compute f B * and form factors of semi-leptonic B (s) → π (K) transitions.…”

“…which is a key ingredient to the finite-volume matching part of the ALPHA Collaboration's B-physics programme based on HQET non-perturbatively renormalized and matched to QCD at O(1/m h ) [5][6][7][8][9][10][11][12], lies very well within the applicability domain of HQET. This is, for instance, also in line with the onset of the linear behaviour reported in the treelevel study [13] of the 1/z-dependence of the HQET parameters contributing to the full set of heavy-light flavour currents in HQET at O(1/m h ).…”