Unparticle-Induced Lepton Flavor Violating Decays \tau^- ->l^- (V^0, ~P^0)

Understand

We make an evaluation of the lepton flavor violating (LFV) decays $\tau \to \ell (V^0, P^0)$, where $\ell=e$ or $\mu$ and $V^0(P^0)$ is a neutral vector (pseudo-scalar) meson, in the context of unparticle physics.

• The constraints are investigated systematically on the related coupling parameters from all the available experimental data, and the parameter values are specified appropriately.
• The results show that whereas over the whole parameter space allowed by experiments all the $\tau \to \ell P^0$ modes have a branching ratio too small to be measurable experimentally, in a large subspace as observed all of the $\tau \to \ell V^0$ modes get simultaneously a branching ratio as high as ${\cal O}(10^{-10}-10^{-8})$, which is reachable at the LHC and super B factory.
• The important implications are drawn.