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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 f_{D*_(s)} and f_{B*_(s)} (analogue to f_\pi) 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.
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