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We calculate the rates for the charged lepton flavour violating decays ℓ i → ℓ j γ, τ → ℓπ, τ → ℓη, τ → ℓη ′ , µ − → e − e + e − , the six three body leptonic decays τ − → ℓand the rate for µ − e conversion in nuclei in the Littlest Higgs model with T-parity (LHT). We also calculate the rates for K L,S → µe, K L,S → π 0 µe and B d,s → ℓ i ℓ j . We find that the relative effects of mirror leptons in these transitions are by many orders of magnitude larger than analogous mirror quark effects in rare K and B decays analyzed recently. In particular, in order to suppress the µ → eγ and µ − → e − e + e − decay rates and the µ − e conversion rate below the experimental upper bounds, the relevant mixing matrix in the mirror lepton sector V Hℓ must be rather hierarchical, unless the spectrum of mirror leptons is quasi-degenerate. We find that the pattern of the LFV branching ratios in the LHT model differs significantly from the one encountered in the MSSM, allowing in a transparent manner to distinguish these two models with the help of LFV processes. We also calculate (g −2) µ and find the new contributions to a µ below 1·10 −10 and consequently negligible. We compare our results with those present in the literature.

This chapter of the report of the "Flavor in the era of the LHC" Workshop discusses the theoretical, phenomenological and experimental issues related to flavor phenomena in the charged lepton sector and in flavor conserving CPviolating processes. We review the current experimental limits and the main theoretical models for the flavor structure of fundamental particles. We analyze the phenomenological consequences of the available data, setting constraints on explicit models beyond the standard model, presenting benchmarks for the discovery potential of forthcoming measurements both at the LHC and at low energy, and exploring options for possible future experiments.

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