Search for Lepton Flavor Violation in the Higgs Boson Decay at a Linear Collider

Abstract

We discuss possibility of direct search for lepton flavor violation (LFV) in Yukawa interaction by measuring the branching ratio for the decay of the lightest Higgs boson ($h^0$) into a $\tau$-$\mu$ pair at a linear collider. We study the significance of the signal process, $e^{+}{e}^{-}\to Z^{\ast }\to Z{h}^0\to Z{\tau }^{\pm }{\mu }^{\mp }$, against the backgrounds such as $e^{+}{e}^{-}\to Z{\tau }^{+}{\tau }^{-}\to Z{\tau }^{\pm }{\mu }^{\mp }+$ missings. After taking appropriate kinematic cuts, the number of the background event is considerably reduced, so that the signal can be visible when the branching ratio of $h^0\to {\tau }^{\pm }{\mu }^{\mp }$ is larger than about $10^{-4}$. In a Minimal Supersymmetric Standard Model scenario, the effective coupling of $h^0{\tau }^{\pm }{\mu }^{\mp }$ can be generated at loop level due to the slepton mixing. When supersymmetric mass parameters are larger than TeV scales, the branching ratio can be as large as several times $10^{-4}$. Therefore, the signal can be marginally visible at a LC. In the general two Higgs doublet model, the possible maximal value for the branching ratio of $h^0\to {\tau }^{\pm }{\mu }^{\mp }$ can reach to a few times $10^{-3}$ within the available experimental bound, so that we can obtain larger significance.

arXiv comment14 pages 3 figures, REVTEX4, version accepted for publication in Physics Letters B

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