Antisymmetric rank-2 tensor unparticle physics

Abstract

We present the phenomenology of antisymmetric rank-2 tensor unparticle operator OU,A(mu nu) with scaling dimension dU. We consider the physical effects of operator OU,A(mu nu) in Z(0) boson invisible decays Z(0)-> U, Z(0)-> b (b) over bar channel, the electroweak precision observable S parameter, and the muon anomalous magnetic dipole moment. The Z(0) boson invisible decay gives a very stringent constraint in the (Lambda U,MU) plane, and only small r equivalent to Lambda U/MU less than or similar to 0.1 is favored, when Lambda U is order of several 100 GeV. When the phenomenological parameter mu, which parameterizes the scale invariance breaking, goes to 0, the S parameter and the muon (g-2) diverge for 1 < dU < 2, while for nonzero mu, there will be constraints on (Lambda U,MU) which are more stringent than those obtained from collider experiments.