Test of factorization in D--> pi pi and D-->KK-bar decays.

Abstract

We propose a method that involves quantities independent of strong interaction phases to test the factorization model in D\ensuremath{\rightarrow}\ensuremath{\pi}\ensuremath{\pi} and KK\ifmmode\bar\else\textasciimacron\fi{} decays. The method allows us to conclude that the factorization model correctly predicts \ensuremath{\Vert}${\mathit{A}}_{2}^{\mathrm{\ensuremath{\pi}}\mathrm{\ensuremath{\pi}}}$\ensuremath{\Vert}, overestimates \ensuremath{\Vert}${\mathit{A}}_{0}^{\mathrm{\ensuremath{\pi}}\mathrm{\ensuremath{\pi}}}$\ensuremath{\Vert} and \ensuremath{\Vert}${\mathit{A}}_{1}^{\mathit{KK}\mathit{\ifmmode\bar\else\textasciimacron\fi{}}}$\ensuremath{\Vert}, and underestimates \ensuremath{\Vert}${\mathit{A}}_{0}^{\mathit{KK}\mathit{\ifmmode\bar\else\textasciimacron\fi{}}}$\ensuremath{\Vert}. We rule out the Penguin mechanism as the solution to the disagreement between theory and experiment. We believe inelastic final state interactions are responsible for bridging the gap between theory and experiment.