Quark flavor violating Higgs boson decay $h\to \overline{b}s+b\overline{s}$ in the MSSM

We study the quark flavor violating Higgs boson decay $h\to \overline{b}s+b\overline{s}$ in the minimal supersymmetric standard model (MSSM). The decay is analyzed first in a model-independent approach and second in the minimal flavor violating (MFV) constrained MSSM. The experimental constraints from $B$-physics observables (BPO) and electroweak precision observables (EWPO) are also calculated and imposed on the parameter space. It is shown that, in some cases, the EWPO restrict the flavor violating parameter space more than the BPO. In the model-independent analysis, values of $\mathcal{O}(10^{-4})$ can be found for $\mathrm{BR}(h\to \overline{b}s+b\overline{s})$. In the MFV constrained MSSM (CMSSM), such results can only be obtained in very restricted parts of the parameter space. The results show that observation of the decay $h\to \overline{b}s+b\overline{s}$ in the MSSM at future $e^{+}{e}^{-}$ colliders is not excluded.

Figure 1

Generic Feynman diagrams for the EW and QCD corrections to $h\to \overline{b}s+b\overline{s}$ (vertex diagrams).

Figure 2

Generic Feynman diagrams for the EW and QCD corrections to $h\to \overline{b}s+b\overline{s}$ (self-energy contributions).

Figure 3

$M_W$ as a function of ${\delta }_{23}^{QLL}$ (upper left), ${\delta }_{23}^{ULR}$ (upper right), and ${\delta }_{23}^{DLR}$ (lower).

Figure 4

$\mathrm{\Gamma }(h\to \overline{b}s+b\overline{s})$ as a function of ${\delta }_{23}^{QLL}$ (upper left), ${\delta }_{23}^{DLR}$ (upper right), ${\delta }_{23}^{DRL}$ (lower left), and ${\delta }_{23}^{DRR}$ (lower right).

Figure 5

$\mathrm{BR}(h\to \overline{b}s+b\overline{s})$ as a function of ${\delta }_{23}^{QLL}$ (upper left), ${\delta }_{23}^{DLR}$ (upper right), ${\delta }_{23}^{DRL}$ (lower left) and ${\delta }_{23}^{DRR}$ (lower right).

Figure 6

Left: Contours of $\mathrm{BR}(B\to X_s\gamma )$ (Black), $\mathrm{BR}(B_s\to {\mu }^{+}{\mu }^{-})$ (Green), $\mathrm{\Delta }{M}_{B_s}$ (Blue) and $M_W$ (Red) in (${\delta }_{23}^{QLL}$, ${\delta }_{23}^{DLR}$) plane for points S1-S3. The shaded area shows the range of values allowed by all constraints. Right: corresponding contours for $\mathrm{BR}(h\to \overline{b}s+b\overline{s})$.

Figure 7

Left: Contours of $\mathrm{BR}(B\to X_s\gamma )$ (Black), $\mathrm{BR}(B_s\to {\mu }^{+}{\mu }^{-})$ (Green), $\mathrm{\Delta }{M}_{B_s}$ (Blue) and $M_W$ (Red) in (${\delta }_{23}^{QLL}$, ${\delta }_{23}^{DLR}$) plane for points S4-S6. The shaded area shows the range of values allowed by all constraints. Right: corresponding contours for $\mathrm{BR}(h\to \overline{b}s+b\overline{s})$.

Figure 8

Left: Contours of $\mathrm{BR}(B\to X_s\gamma )$ (Black), $\mathrm{BR}(B_s\to {\mu }^{+}{\mu }^{-})$ (Green), $\mathrm{\Delta }{M}_{B_s}$ (Blue) and $M_W$ (Red) in (${\delta }_{23}^{DRR}$, ${\delta }_{23}^{DLR}$) plane for points S1-S3. The shaded area shows the range of values allowed by all constraints. Right: corresponding contours for $\mathrm{BR}(h\to \overline{b}s+b\overline{s})$.

Figure 9

Left: Contours of $\mathrm{BR}(B\to X_s\gamma )$ (Black), $\mathrm{BR}(B_s\to {\mu }^{+}{\mu }^{-})$ (Green), $\mathrm{\Delta }{M}_{B_s}$ (Blue) and $M_W$ (Red) in (${\delta }_{23}^{DRR}$, ${\delta }_{23}^{DLR}$) plane for points S4-S6. The shaded area shows the range of values allowed by all constraints. Right: corresponding contours for $\mathrm{BR}(h\to \overline{b}s+b\overline{s})$.

Figure 10

Left: Contours of $\mathrm{BR}(B\to X_s\gamma )$ (Black), $\mathrm{BR}(B_s\to {\mu }^{+}{\mu }^{-})$ (Green), $\mathrm{\Delta }{M}_{B_s}$ (Blue) and $M_W$ (Red) in the (${\delta }_{23}^{QLL}$, ${\delta }_{23}^{DLR}$) plane with ${\delta }_{23}^{DRR}=0.5$ for points S1-S3. The shaded area shows the range of values allowed by all constraints. Right: corresponding contours for $\mathrm{BR}(h\to \overline{b}s+b\overline{s})$.

Figure 11

Left: Contours of $\mathrm{BR}(B\to X_s\gamma )$ (Black), $\mathrm{BR}(B_s\to {\mu }^{+}{\mu }^{-})$ (Green), $\mathrm{\Delta }{M}_{B_s}$ (Blue) and $M_W$ (Red) in the (${\delta }_{23}^{QLL}$, ${\delta }_{23}^{DLR}$) plane with ${\delta }_{23}^{DRR}=0.5$ for points S4-S6. The shaded area shows the range of values allowed by all constraints. Right: corresponding contours for $\mathrm{BR}(h\to \overline{b}s+b\overline{s})$.

Figure 12

Contours of $\mathrm{BR}(h\to b\overline{s}+\overline{b}s)$ in the $(m_0,m_{1/2})$ plane for different values of $\tan \beta$ and $A_0$ in the CMSSM.