Some Prospects for the Determination of the Unitarity Triangle Before the LHC Era

Abstract

Anticipating improved determinations of $m_t$, $|V_{cb}|$, $|V_{ub}/V_{cb}|$, $B_K$ and $F_B\sqrt{B_B}$ in the next five years we make an excursion into the future in order to find a possible picture of the unitarity triangle, of quark mixing and of CP violation around the year~2000. We then analyse what impact on this picture will result from the measurements of the four possibly cleanest quantities: $BR(K^{+}\to {\pi }^{+}\nu \bar{\nu })$, $x_d/x_s$, $\sin (2\alpha )$ and $\sin (2\beta )$. In the course of our investigations we extend the analysis of the unitarity triangle beyond the leading order in the Wolfenstein parameter $\lambda$. \\ We will also shortly present the status of direct CP violation in $K\to \pi \pi$ and $K_{\mathrm{L}}\to {\pi }^0{e}^{+}{e}^{-}$.

Comments: (Invited talk given at ICHEP '94, Glasgow, July 1994.), 6 pages (with 4 PostScript figures available separately), Munich Technical University preprint TUM-T31-77/94