Angular Distribution and CP Asymmetries in the Decays B->K^-pi^+e^-e^+ and B->pi^-pi^+e^-e^+

TL;DR

This paper analyzes angular distributions and CP asymmetries in specific B meson decays involving Kpi and pipi systems, providing detailed theoretical predictions within the Standard Model framework.

Contribution

It offers a detailed theoretical study of angular distributions and CP asymmetries in B->Kpi and B->pipi decays with e+e- pairs, including derivation of CP-violating observables.

Findings

Predicted angular distributions of mesons and leptons in decay frames.

Derived CP-violating observables for these decay modes.

Provided theoretical formulas for decay spectra within the Standard Model.

Abstract

The short-distance Hamiltonian describing b->s(d)e^-e^+ in the standard model is used to obtain the decay spectrum of \bar{B}->K^-pi^+e^-e^+ and \bar{B}->pi^-pi^+e^-e^+, assuming the Kpi and pipi systems to be the decay products of K^* and rho respectively. Specific features calculated are (i) angular distribution of K^- (or pi^-) in the K^-pi^+ (or pi^-pi^+) centre-of-mass (c.m.) frame; (ii) angular distribution of e^- in the e^-e^+ c.m. frame; and (iii) the correlation between the meson and lepton planes. We also derive CP-violating observables obtained by combining the above decays with the conjugate processes B->K^+pi^-e^-e^+ and B->pi^-pi^+e^-e^+.