Resonance Chiral Lagrangian Currents and Experimental Data for $\ddot{I}{„}^{-}\to \ddot{I}{€}^{-}\ddot{I}{€}^{-}\ddot{I}{€}^{+}\hat{I}{½}_{\ddot{I}}„$

Abstract

In this paper we document the modifications introduced to the previous version of the Resonance Chiral Lagrangian current ({\it Phys.Rev.} {\bf D86} (2012) 113008) of the $\ddot{I}{„}^{\pm }\to \ddot{I}{€}^{\pm }\ddot{I}{€}^{\pm }\ddot{I}{€}^{\mp }\hat{I}{½}_{\ddot{I}}„$ decay which enable the one dimensional distributions measured by the BaBar collaboration to be well modeled. The main change required to model the data is the addition of the $\ddot{I}ƒ$ resonance. Systematic errors, theoretical and experimental ones, limitations due to fits of one dimensional distributions only, and resulting difficulties and statistical/systematic errors for fitted parameters are addressed. The current and fitting environment is ready for comparisons with the fully exclusive experimental data. The present result for $\ddot{I}{„}^{\pm }\to \ddot{I}{€}^{\pm }\ddot{I}{€}^{\pm }\ddot{I}{€}^{\mp }\hat{I}{½}_{\ddot{I}}„$ is encouraging for work on other $\ddot{I}„$ decay modes and Resonance Chiral Lagrangian based currents.

16 pages, 2 figures