Improved fD*₍ₛ₎, fB*₍ₛ₎ and fBc from QCD Laplace sum rules

الأصل · EN

Anticipating future precise measurements of the D- and B-like (semi-)leptonic and hadronic decays for alternative determinations of the CKM mixing angles, we pursue our program on the D- and B-like mesons by improving the estimates of fD*₍ₛ₎ and fB*₍ₛ₎ (analogue to fπ) by using the well-established (inverse) Laplace sum rules (LSR) and / or their suitable ratios less affected by the systematics, which are known to N2LO pQCD and where the complete d = 6 non-perturbative condensate contributions are included. The convergence of the PT series is analyzed by an estimate of the N3LO terms based on geometric growth of the coefficients. In addition to the standard LSR variable τ and the QCD continuum threshold tc stability criteria, we extract our optimal results by also requiring stability on the variation of the arbitrary QCD subtraction point μ. We complete the analysis by a direct estimate of fBc. Our results summarized in Tables III and IV are compared with some other recent estimates.