Littlest Higgs Model and Unitarity Constraints

The Littlest Higgs Model is constrained using the tree-level perturbative arguments, similar to those employed to obtain the Higgs mass bound. It is found that the perturbative unitaity violations set in at energy scales $\sim 1.5\chi f$,where$f$ is the analog of pion decay constant and sets the scale for the masses in the theory and also the strong interaction scale and $\chi$ is a dimensionless parameter which together with $f$ sets the mass scale of heavy scalars in the theory.