Abstract
We study the quark flavor violating Higgs-boson decay $h \rightarrow \bar b s + b \bar s$ in the Minimal Supersymmetric Standard Model (MSSM). The decay is analyzed first in a model independent, and in a second step in the minimal flavor violationg (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 stronger than the BPO. In the model independent analysis values of ${\cal O}(10^{-4})$ can be found for ${\rm BR}(h \rightarrow \bar b s + b \bar s)$. In the MFV CMSSM such results can only be obtained in very restricted parts of the parameter space. The results show that it is not excluded to observe the decay $h \rightarrow \bar b s + b \bar s$ in the MSSM at future $e^+e^-$ colliders.
Highlights
Supersymmetry (SUSY) is one of the most intriguing ideas from the last 30 years of high- energy physics
The paper is organized as follows: First, we review the main features of the minimal flavor violating (MFV) constrained MSSM (CMSSM) and flavor mixing in the minimal supersymmetric standard model (MSSM) in Sec
We start with the model-independent approach, where we do not specify the origin of the flavor violating δFijAB but take into account the existing limits from B-physics observables (BPO) and electroweak precision observables (EWPO)
Summary
Supersymmetry (SUSY) is one of the most intriguing ideas from the last 30 years of high- energy physics. Within the MSSM, flavor mixing can occur in the scalar fermion sector due to the possible presence of soft SUSYbreaking parameters in the respective mass matrices, which are off-diagonal in flavor space (mass parameters as well as trilinear couplings) This yields many new sources of flavor (and CP) violation, which potentially lead to large nonstandard effects in flavor processes in conflict with. In the scalar quark sector, we will consider the LL mixing, and include the LR-RL and RR mixing for our analysis of BRðh → bs þ bsÞ We will analyze this decay first in a model-independent approach (MI) where flavor-mixing parameters are put in by hand without any emphasis on the origin of this mixing (but respecting the experimental bounds from BPO and EWPO).
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