Neutrino Masses, Lepton Flavor Violations, and Flavor Changing Neutral Currents in Composite Little Higgs Model

Little higgs theories attribute light higgs to being one of a set of pseudo Nambu Goldstone bosons. This implies that the UV cutoff of the little higgs models should be around 10 TeV, and a new physics resides above the UV cutoff. The composite little higgs model, a candidate for UV physics of the littlest higgs model, incorporates supersymmetry into strong gauge dynamics. We find that this construction is very similar to the bosonic technicolor model. We further explore flavor physics and generation of ordianry fermion mass in this model. We also find that lepton flavor violations and neutrino mass matrix arise once we introduce R-parity violating superpotential to this model, as in a generic MSSM with R-parity violations. We identify various low-energy effective ∆L = 2 lepton flavor violating operators, and we find that most of them are identical to those of the MSSM with R-parity violations. But there is a new operator which involves leptons and the pseudo-Nambu Goldstone bosons in the littlest higgs model. We further investigate this case where the dominant neutrino mass matrix comes from interactions with the pseudo Nambu Goldstone bosons.