The anomalous lepton magnetic moment, LFV decays and the fourth generation

Abstract

We investigate the lepton flavor violation (LFV) decays, $τ\to lγ$ ($l=μ, e$) and $μ\to eγ$, and the newly observed muon $g-2$ anomaly in the framwork of a squential fourth generation model with a heavy fourth neutrino, $ν'$. By using the recent experimental bounds, we take the constraints of the $4\times 4$ leptonic mixing matrix element factors, $|V_{1ν'} V_{2ν'}|^2$, $|V_{1ν'} V_{3ν'}|^2 $ and $|V_{3ν'} V_{2ν'}|^2$. We find that LFV decays and $g_μ-2$ can exclude most of the parameter space of the 4th generation neutrino mass $m_{ν'}$ and give stringent constraints on the existence of the fourth generation.