Supersymmetric Higgs mediated lepton flavor violation at a Photon Collider

TL;DR

This paper investigates a novel lepton flavor violation signature at a photon collider within supersymmetric theories, focusing on heavy Higgs bosons and the mu-tau fusion process, with potential to probe Higgs masses up to 600 GeV.

Contribution

It introduces a detailed analysis of LFV signals at a photon collider in SUSY models, emphasizing the mu-tau fusion mechanism and exploring parameter space constraints.

Findings

LFV signals can be observed for Higgs masses up to 600 GeV.

The mu-tau fusion process is the dominant LFV channel at the photon collider.

Parameter space constraints from B physics and tau decays are considered.

Abstract

We study a new signature of lepton flavor violation (LFV) at the Photon Collider (PC) within Supersymmetric (SUSY) theories. We consider the minimal supersymmetric standard model within a large $\tan\beta$ scenario with all superpartner masses in the ${\cal O}$(TeV) while the heavy Higgs bosons masses lie below the TeV and develop sizable loop induced LFV couplings to the leptons. We consider a photon collider based on an $e^+e^-$ linear collider with $\sqrt{s}=800$ GeV with the parameters of the TESLA proposal and show that, with the expected integrated $\gamma\gamma$-luminosity $L_{\gamma\gamma}=200\div 500$ fb$^{-1}$, the "$\mu\tau$ fusion" mechanism is the dominant channel for the process $\gaga\to\mu\tau b\bar{b}$ providing detailed analytical and numerical studies of the signal and backgrounds. We impose on the parameter space present direct and indirect constraints from $B$ physics and rare LFV $\tau$-decays and find that the LFV signal can be probed for masses of the heavy neutral Higgs bosons $A,H$ from 300 GeV up to the kinematical limit $\simeq 600$ GeV for 30$\leq\tan\beta\leq$60.