Journal of High Energy Physics Springer Science and Business Media LLC 2021 (6) 2021/06
Abstract
In this paper, we focus on the supersymmetric model with left-right (LR) symmetry, that is especially proposed in our previous work [1]. In this model, there are four Higgs doublets in order to realize the Standard Model (SM) fermion masses and the Cabibbo-Kobayashi-Maskawa matrix. The heavy Higgs doublets unavoidably have flavor changing couplings to the SM fermions and induce flavor-changing neutral currents at tree level. We study broader parameter space than the previous work with including the renormalization group corrections to the Yukawa couplings between the LR breaking scale,
$$ \mathcal{O} $$
O
(10
13) GeV, and the supersymmetry breaking scales,
$$ \mathcal{O} $$
O
(100) TeV. The CP violating observable in
K–
$$ \overline{K} $$
K
¯
mixing,
ϵK, strongly constrains the model, so that heavy Higgs mass should be heavier than
$$ \mathcal{O} $$
O
(100) TeV. We study the lepton flavor violating (LFV) processes setting heavy Higgs masses to be 170 TeV. The branching ratios of
μ → 3
e and the
μ–
e conversion can be larger than 10
−16 that could be covered by the future experiments. We also study the degree of fine-tuning in the parameter region that predicts testable LFV processes.