Phenomenology of the $B-3L_{\tau }$ Gauge Boson

Abstract

Assuming the existence of a gauge boson $X$ which couples to $B-3L_{\tau }$, we discuss the present experimental constraints on $g_X$ and $m_X$ from $Z\to l^{+}{l}^{-}$ and $Z\to \bar{f}fX(f=q,{\nu }_{\tau },\tau )$. We also discuss the discovery potential of $X$ at hadron colliders through its decay into ${\tau }^{+}{\tau }^{-}$ pairs. In the scenario where all three charged leptons (and their neutrinos) mix, lepton flavor nonconservation through $X$ becomes possible and provides another experimental probe into this hypothesis.

Comments: 19 pages, LaTeX, including 4 figures