f_0(1710) production in exclusive B decays

Abstract

Production of $f_0(1710)$, a theoretical endeavor of pure scalar glueball state, is studied in detail from exclusive rare B decay within the framework of perturbative QCD. The branching fraction for $B^\pm \to K^{*\pm} f_0(1710) \to K^{*\pm} (K \bar K)$ is estimated to be about $8 \times 10^{-6}$, while for $B^\pm \to K^\pm f_0(1710) \to K^\pm (K \bar K)$ it is smaller by roughly an order of magnitude. With the accumulation of almost 1 billion $B \bar B$ pairs from the B{\tiny A}B{\tiny AR} and Belle experiments to date, hunting for a scalar glueball via these rare decay modes should be attainable.