Probing Factorization in Color-Suppressed $B\to \psi (2S)+K(K^{\ast })$ Decay

Abstract

In order to probe the factorization hypothesis in color-suppressed $B\to \psi (2S)+K(K^{\ast })$ decays we have studied three ratios: $R\equiv B(B\to \psi K)/B(B\to \psi (2S)K)$, $R^{\prime }\equiv B(B\to \psi K^{\ast })/B(B\to \psi (2S)K^{\ast })$ and $P_L^{\prime }\equiv {\Gamma }_L(B\to \psi (2S)K^{\ast })/\Gamma (B\to \psi (2S)K^{\ast })$ in several scenarios for the $q^2$-dependence of the form factors involved. We find that measurements of R and $R^{\prime }$, which exist, do not yield scenario-independent tests of factorization. However, the predicted range of $P_L^{\prime }$ in all scenarios lies in a narrow range, $ 0.50 {\ \lower-1.2pt\vbox{\hbox{\rlap{$<$}\lower5pt\vbox{\hbox{$\sim$}}}}\ } P_L^\prime \leq 0.67$, and could test factorization.

LATEX, 10 pages (one figure, available by fax or post), Alberta Thy-27-94, September 20, 1994