CP Asymmetries in B_d \to D^{*+}D^{*-} and B_s \to D^{*+}_s D^{*-}_s Decays: P-wave Dilution, Penguin and Rescattering Effects

TL;DR

This paper proposes a method to determine CP-violating parameters in B meson decays without angular analysis, accounting for P-wave dilution, penguin, and rescattering effects, using factorization and heavy quark symmetry.

Contribution

It introduces a novel approach to measure CP asymmetries in B decays without angular analysis, considering P-wave dilution, penguin corrections, and rescattering effects.

Findings

P-wave dilution factors are approximately 0.89 and 0.90.

Penguin corrections are about 2% and 3%.

Rescattering effects can be managed via neutral mode detection.

Abstract

Determination of the CP-violating parameters \sin 2\beta and \sin 2\beta' is shown to be possible from B^0_d vs \bar{B}^0_d \to D^{*+}D^{*-} and B^0_s vs \bar{B}^0_s \to D^{*+}_sD^{*-}_s decays {\it without} doing the angular analysis. The P-wave dilution factors of these two asymmetries are found to be 0.89 and 0.90, respectively, using the factorization approximation and heavy quark symmetry. The penguin-induced corrections amount to about 2% and 3% in the corresponding B_d and B_s channels. Final-state rescattering effects could be handled by detecting the neutral modes B^0_d and \bar{B}^0_d \to D^{*0}\bar{D}^{*0}.