Abstract
We study the lepton flavor violating (LFV) processes li→ljνlν̄l in the context of the topcolor-assisted technicolor (TC2) models. We find that the branching ratios Br(τ→ljντν̄τ) are larger than the branching ratios Br(τ→ljνlν̄l) in all of the parameter space. Over a wide range of parameter space, we have Br(τ→ljντν̄τ)∼10−6 and Br(τ→ljνlν̄l)∼10−9 (l=μ or e). Taking into account the bounds given by the experimental upper limit Brexp(μ→3e)⩽1×10−12 on the free parameters of TC2 models, we further give the upper limits of the LFV processes li→ljνlν̄l. We hope that the results may be useful to partly explain the data of the neutrino oscillations and the future neutrino experimental data might be used to test TC2 models.
Highlights
It is well known that the individual lepton numbers Le, Lμ and Lτ are automatically conserved and the tree-level lepton flavor violating (LFV) processes are absent in the standard model (SM)
The SM requires some modification to account for the pattern of neutrino mixing suggested by the data and the LFV processes like li −→ ljγ and li −→ ljlkll are allowed
Considering the constraints of the present experimental bound on the LFV process μ −→ 3e on the free parameters of TC2 models, we give the upper bounds on the branching ratios Br(li −→ ljνlνl), which arise from Z′ exchange
Summary
It is well known that the individual lepton numbers Le, Lμ and Lτ are automatically conserved and the tree-level lepton flavor violating (LFV) processes are absent in the standard model (SM). The LFV processes li −→ ljνlνl, where li = τ or μ, lj = μ or e and l = τ, μ or e, might explain the neutrino oscillation data. With these motivations in mind, we study the LFV processes li −→ ljνlνl in the context of topcolor-assisted technicolor (TC2) models [7].
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