$D-\bar{D}$ mixing constraints on FCNC with a non-universal $Z^\prime$

Abstract

The BaBar and Belle collaborations have recently reported evidence for $D^0-\bar D^0$ mixing. This measurement provides the first significant constraint on FCNC in the up-quark sector for non-universal $Z^\prime$ models. Attributing the observed $D-\bar D$ mixing to new physics, we comment on the resulting rare $D$ and $t$ decays. We also show that a CP violating semileptonic asymmetry as large as $\sim 30%$ is allowed by the experimental results.