  The simplest little Higgs model based on a SU(3) global symmetry contains a
$SU(3)_{weak}$ triplet and a singlet per a generation in the lepton sector. A
neutral component of the triplet and the singlet turn into a neutral
vector-like $SU(2)_L$ singlet after electroweak symmetry breaking while the
other neutral component of the triplet is the SM neutrino. At tree level,
Yukawa couplings of the lepton sector not only allow the neutral vector-like
lepton to couple to the SM neutrino, but also give them a Dirac mass. Majorana
mass terms for the SM neutrinos and their partners arise at one loops, leading
to neutrino flavor mixing in addition to neutrino-heavy neutral lepton mixing.
