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In this paper we document the modifications introduced to the previousversion of the Resonance Chiral Lagrangian current ({\it Phys.Rev.} {\bf D86}(2012) 113008) of the $\tau^\pm \to \pi^\pm \pi^\pm \pi^\mp \nu_\tau$ decaywhich enable the one dimensional distributions measured by the BaBarcollaboration to be well modeled. The main change required to model the data isthe addition of the $\sigma$ resonance. Systematic errors, theoretical andexperimental ones, limitations due to fits of one dimensional distributionsonly, and resulting difficulties and statistical/systematic errors for fittedparameters are addressed. The current and fitting environment is ready forcomparisons with the fully exclusive experimental data. The present result for$\tau^\pm \to \pi^\pm \pi^\pm \pi^\mp \nu_\tau$ is encouraging for work onother $\tau$ decay modes and Resonance Chiral Lagrangian based currents.

Resonance Chiral Lagrangian Currents and Experimental Data for $\tau^-\to\pi^{-}\pi^{-}\pi^{+}\nu_{\tau}$