Higgs flavor phenomenology in a supersymmetric left-right model with parity

TL;DR

This paper investigates a supersymmetric left-right model with four Higgs doublets, analyzing flavor-changing effects, CP violation constraints, and lepton flavor violation, with implications for future experimental detection.

Contribution

It extends previous work by including renormalization group corrections and explores parameter space constraints from flavor physics and LFV processes.

Findings

Heavy Higgs masses should be above 100 TeV due to CP violation constraints.

LFV process branching ratios can exceed 10^{-16}, within future experimental reach.

The model's parameter space involves fine-tuning to predict observable LFV signals.

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, $\mathcal{O}(10^{13})$ GeV, and the supersymmetry breaking scales, $\mathcal{O}(100)$ TeV. The CP violating observable in $K$-$\overline{K}$ mixing, $\epsilon_K$, strongly constrains the model, so that heavy Higgs mass should be heavier than $\mathcal{O}(100)$ TeV. We study the lepton flavor violating (LFV) processes setting heavy Higgs masses to be 170 TeV. The branching ratios of $\mu \to 3 e$ and the $\mu$-$e$ 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.