The radion contribution to the weak mixing angle

Abstract

In the Randall-Sundrum (RS) compactification, the gap between two branes is stabilized by the vacuum expectation value of a scalar field called {\it radion}, $\phi$. This radion behaves like a weak interaction singlet scalar field, coupling to matter through the trace of the energy momentum tensor. We find that it can induce a sizable correction to the weak mixing angle if the vacuum expectation value and the mass of the radion is around TeV. We also comment on the contribution to the $K_L-K_S$ mass difference and to $(g-2)_\mu$.