Constraints on anomalous $tcZ$ coupling from $\bar{B}\to {\bar{K}}^{\ast }{\mu }^{+}{\mu }^{-}$ and $B_s\to {\mu }^{+}{\mu }^{-}$ decays

Abstract

In this paper, we analyze the possible anomalous $tcZ$ coupling effects in the $b\to s$ mediated decays $\bar{B}\to {\bar{K}}^{\ast }{\mu }^{+}{\mu }^{-}$ and $B_s\to {\mu }^{+}{\mu }^{-}$. After exploiting the available experimental data, the combined constraints on the anomalous coupling $X_{ct}^L$ are derived. It is found that, the bound on the magnitude $|X_{ct}^L|$ is dominated by the branching ratios of these two decays. Furthermore, one sign-flipped solution is excluded by the longitudinal fraction of $\bar{B}\to {\bar{K}}^{\ast }{\mu }^{+}{\mu }^{-}$ at the low dilepton mass region. After considering the combined constraints, for general complex coupling $X_{ct}^L$, the predicted upper bound on $\mathcal{B}(t\to cZ)$ are compatible with that from the recent CMS direct search. In particular, for the case of real coupling $X_{ct}^L$, the upper bound reads $\mathcal{B}(t\to cZ)<1.0\times 10^{-4}$, which is much lower than the current CMS bound but still accessible at the LHC. With improved measurements at the LHC, the colser correlations between the $t\to cZ$ and $b\to s$ mediated (semi-) leptonic decays are expected in the near future.

Comments: 23 pages, 9 figures, 2 tables. v3: effects due to the width difference \Delta\Gamma_s added, numerical results and figure.3 and 4 slightly changed, main conclusions of the paper remain the same, matches published version in JHEP