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Search for Lepton Flavor Violation in the Higgs Boson Decay at a Linear Collider
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 () into a - pair at a linear collider. We
study the significance of the signal process, , against the backgrounds such as 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 is larger than about . In a Minimal Supersymmetric Standard
Model scenario, the effective coupling of 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 . 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 can reach to a few times
within the available experimental bound, so that we can obtain larger
significance.Comment: 14 pages 3 figures, REVTEX4, version accepted for publication in
Physics Letters