Tau Leptonic Decay τ→lVlVτ in Littlest Higgs Model＊

Tau Leptonic Decay $taurightarrow lbar{nu}_{l}nu_{tau}$in Littlest Higgs Model

We consider the τ leptonic decay $taurightarrowlbar{nu}_{l}nu_{tau}$ in the framework of the littlestHiggs (LH) model and calculate the corrections of new particles tothis decay. We find that the contributions of the charged scalarscan be safely ignored and the LH model is in perfect agreementwith the universality of the couplings of the SU gauge bosonsto the leptonic charged currents. The corrections of the LH modelto the τ leptonic decay $taurightarrowlbar{nu}_{l}nu_{tau}$ are not sensitive to the parameterc, but depend strongly on the parameters f and x. Theprecision measured data about the τ leptonic decay demandthat the parameter f approximately equal 3.5 TeV and x>0.1, while agree with the general expectation based on otherphenomenologicalexplorations.