Rescattering effects in B_{u,d,s}(bar) to D P, D(bar) P decays

TL;DR

This paper investigates rescattering effects in B meson decays to D and pseudoscalar mesons, using updated measurements to predict decay rates and analyze strong phases, with implications for CP violation studies.

Contribution

The study provides new insights into rescattering effects and predicts decay rates for B_s and B_u,d decays, including modes relevant for gamma/phi_3 measurements.

Findings

Many decay rates are significantly enhanced.

Predicted B_s to D0 K0 rate is approximately 8×10^{-4}.

Rescattering effects influence amplitude ratios and strong phases.

Abstract

We study quasi-elastic rescattering effects in B_{u,d,s}(bar) to DP, D(bar)P decays, where P is a light pseudoscalar. The updated measurements of B_{u,d}(bar) to DP decays are used to extract the effective Wilson coefficients a^{eff}_1 ~ 0.90, a^{eff}_2 ~ 0.23, three strong phases delta ~ 53 degree, theta ~ 18 degree, sigma ~ -88 degree, and the mixing angle tau ~ 9 degree. This information is used to predict rates of nineteen B_{s}(bar) to DP and B_{u,d,s}(bar) to D(bar)P decay modes, including modes of interests in the gamma/phi_3 program. Many decay rates are found to be enhanced. In particular, the B_s(bar) to D0 K0 rate is predicted to be 8\times 10^{-4}, which could be measured soon. The rescattering effects on the corresponding B_{u,d,s}(bar) to D(bar)P, DP amplitude ratios r_B, r_{B_s}, and the relative strong phases delta_B, delta_{B_s} are studied. Although the decay rates are enhanced in most cases, r_{B,B_s} values are similar to factorization expectation.