Second Generation of 'Miranda Procedure' for CP Violation in Dalitz Studies of B (\& D \& \tau) Decays

TL;DR

This paper extends and refines the 'Miranda Procedure' for model-independent CP asymmetry analysis in Dalitz plots of B, D, and tau decays, enhancing tools for detecting New Dynamics in particle physics.

Contribution

It introduces a second-generation Miranda Procedure that improves CP violation searches by analyzing three-body decays without detailed Dalitz plot modeling.

Findings

Enhanced sensitivity to CP asymmetries in B and D decays.

Ability to distinguish New Dynamics from Standard Model effects.

Application examples demonstrating the procedure's effectiveness.

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. The complexity of CKM CP phenomenology through order $\lambda^6$ is needed in searches for New Dynamics (ND). Detailed analyses of three-body final states other great advantages: (i) They give us more powerful tools for deciding whether an observed CP asymmetry rep- resents 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 de- scription. (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 $B_d/\bar B_d$ decays to final states $K_S\pi+\pi-$ as trial runs with comments on $B^{\pm} \to K^{\pm}\pi^+\pi^-/K^{\pm}K^+K^-$.