Abstract

We apply q 2=0 moments within n (# of derivatives) and t c (continuum threshold) stability criteria to the beautiful-meson systems. The optimal predictions summarized in table 3 are reached for the same ranges of n and t c values leading to the previous estimate of the decay constant f B. The QCD scales (b-quark “physical” mass, mixed and four-quark condensates) are strongly constrained by the observed B and B ∗ masses. The predictions for the S- and P-state splittings are much affected by the definition of the b-quark mass (pole or euclidian) entering into the Wilson coefficients of the non-perturbative condensates. The size of the SU (3) F breaking on the mass splittings cannot be accurately predicted due to the imprecise value of the 〈 Ψ sΨ s〉/〈 Ψ dΨ d〉 condensate ratio. We present new predictions for the B c and B c ∗ mesons.

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