Neutrino Masses in the Composite Little Higgs Model

The composite little Higgs model, a UV completion for the $SU(5)/SO(5)$ little Higgs model, incorporates supersymmetry into strong gauge dynamics. We extend the study of flavor physics in the model, and find that it is similar to the bosonic technicolor model. Lepton flavor violations and neutrino mass matrix arise once R-parity violating superpotential is introduced to the model, as in the MSSM. We identify various low-energy effective $\Delta L=2$ lepton flavor violating operators, and find that most of them are similar to those of the R-parity violating MSSM. There is a new operator which involves only leptons and the pseudo-Nambu Goldstone bosons of the little Higgs model. We further study a possibility that this operator gives a dominant contribution to the neutrino mass matrix.