Lepton flavor violation in the Littlest Higgs Model with T parity realizing an inverse seesaw

Abstract

We study lepton flavor violation (LFV) within the Littlest Higgs Model with T parity (LHT) realizing an inverse seesaw (ISS) mechanism of type I. With respect to the traditional LHT, there appear new $\mathcal{O}$(\textcolor{black}{10} TeV) Majorana neutrinos, driving LFV. For $\tau \to \ell {\ell }^{\prime }\bar{\ell }"$ (including wrong-sign, $\ell =e,\mu$) decays and $\mu \to e$ conversion in Ti, we get typical rates only one order of magnitude below present bounds ($\ell \to {\ell }^{\prime }\gamma$ can reach the current upper limit) and for $Z\to \bar{\tau }\ell$, $\mu \to ee\bar{e}$ and conversion in Au, results are within two orders of magnitude from present limits. Correlations among modes are drastically different to the traditional LHT and other models, which would ease the confrontation of this scenario to eventual measurements of LFV processes involving charged leptons.

Comments: 41 pages, 19 figures, 3 tables