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We present our analysis of the decay constants of the beauty vector mesons$B^*$ and $B^*_s$ within the framework of dispersive sum rules for thetwo-point correlator of vector currents in QCD. While the decay constants ofthe vector mesons $f_{B^*}$ and $f_{B_s^*}$ $-$ similar to the decay constantsof the pseudoscalar mesons $f_B$ and $f_{B_s}$ $-$ individually have largeuncertainties induced by theory parameters not known with a satisfactoryprecision, these uncertainties almost entirely cancel out in the ratios ofvector over pseudoscalar decay constants. These ratios may be thus predictedwith very high accuracy due to the good control over the systematicuncertainties of the decay constants gained upon application of ourhadron-parameter extraction algorithm. Our final results read$f_{B^*}/f_B=0.944\pm0.011_{\rm OPE}\pm0.018_{\rm syst}$ and$f_{B_s^*}/f_{B_s}=0.947\pm0.023_{\rm OPE}\pm0.020_{\rm syst}$. Thus, both$f_{B^*}/f_B$ and $f_{B_s^*}/f_{B_s}$ are less than unity at 2.5$\sigma$ and2$\sigma$ level, respectively.

Accurate decay-constant ratios $f_{B^*}/f_B$ and $f_{B_s^*}/f_{B_s}$ from Borel QCD sum rules

Accurate decay-constant ratios $f_{B^}/f_B$ and $f_{B_s^}/f_{B_s}$ from Borel QCD sum rules