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We analyze constraints on the anomalous $Wtb$ couplings from $B$-physicsexperiments, performing a correlated analysis and allowing all anomalouscouplings to differ simultaneously from their Standard-Model (SM) values. The$B$-physics observables allow one to probe three linear combinations out of thefour anomalous couplings, which parameterize the $Wtb$ vertex under theassumption that the SM symmetries remain the symmetries of the effectivetheory. The constraints in this work are obtained by taking into account thefollowing $B$-physics observables: the $\bar B^0-B^0$ oscillations, theleptonic $B\to \mu^+\mu^-$ decays, the inclusive radiative $B\to X_s\gamma$decays, and the differential branching fractions in the semileptonic inclusive$B\to X_s \mu^+ \mu^-$ and exclusive $B\to (K,K^*)\mu^+\mu^-$ decays at small$q^2$, $q$ the momentum of the $\mu^+\mu^-$ pair. We find that the SM values ofthe anomalous couplings belong to the 95\% CL allowed region obtained this waybut lie beyond the 68\% allowed region. We also report that the distributionsof the anomalous couplings obtained within our scenario differ from the resultsof the 1D scenario, when only one of the couplings is allowed to deviate fromits SM value.

Constraints on the anomalous $Wtb$ couplings from $B$-physics experiments