Second generation of “Miranda procedure” forCPviolation in Dalitz studies ofB(andDandτ) decays

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Abstract

The ``Miranda procedure'' proposed for analyzing Dalitz plots for $CP$ asymmetries in charged $B$ and $D$ decays in a model-independent manner is extended and refined in this paper. The complexity of Cabibbo-Kobayashi-Maskawa $CP$ phenomenology through order ${\ensuremath{\lambda}}^{6}$ is needed in searches for new dynamics (ND). Detailed analyses of three-body final states offer great advantages: (i) They give us more powerful tools for deciding whether an observed $CP$ asymmetry represents the manifestation of ND and its features. (ii) Many advantages can already be obtained by the Miranda procedure without construction of a detailed Dalitz plot description. (iii) One studies $CP$ asymmetries independent of production asymmetries. We illustrate the power of a second generation Miranda procedure with examples with time integrated rates for ${B}_{d}/{\overline{B}}_{d}$ decays to final states ${K}_{S}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ as trial runs, with comments on ${B}^{\ifmmode\pm\else\textpm\fi{}}\ensuremath{\rightarrow}{K}^{\ifmmode\pm\else\textpm\fi{}}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}/{K}^{\ifmmode\pm\else\textpm\fi{}}{K}^{+}{K}^{\ensuremath{-}}$.

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