An Isospin Analysis of $CP$ Violation in $B_d\to D\pi$, $D^{\ast }\pi$ and $D\rho$

Abstract

By use of current experimental data, we carry out an isospin analysis of the weak decays $B\to D\pi ,D^{\ast }\pi$ and $D\rho$. It is found that only in $B\to D\rho$ the strong phase shift of two different isospin amplitudes can be approximately neglected. We derive some useful relations between the $CP$-violating measurables and the weak and strong transition phases, and illustrate the different effects of final-state interactions on $CP$ violation in $B_d\to D\pi ,D^{\ast }\pi$ and $D\rho$.

LaTex 9 pages (3 figs). A misleading assumption is removed and a little more material is added. (Accepted for publication in Phys. Lett. B)

References in corpus (8)

• Implications of the Top Quark Mass Measurement for the CKM Parameters, $x_s$ and CP Asymmetries
• Test of $CPT$ Symmetry in $CP$-violating $B$ Decays
• On Test of CPT Symmetry in CP Violating B Decays
• Wolfenstein Parametrization Re-examined
• On Measuring $CP$ Violation in Neutral $B$-meson Decays at the ${\rm Y}(4S)$ Resonance
• A Further Study of $CP$ Asymmetries in Pure Penguin-induced $B_u^{\pm }$ Decays
• Reliability of the Estimation of CP Asymmetries for Nonleptonic $B^0-{\bar{B}}^0$ Decays into Non-CP-Eigen states
• Nonleptonic Cabibbo Favoured $B$-Decays and $CP$-Asymmetries for Charmed Final Hadron States in Isgur and Wise Theory

Cited by in corpus (4)

• Clean CKM Information from Bd(t) -> D(*)+/- pi-/+
• Time Dependence of Coherent $P^0{\bar{P}}^0$ Decays and CP Violation at Asymmetric $B$ Factories
• Possible Effects of $D^0-{\bar{D}}^0$ Mixing in Weak $B$ Decays
• New Time Distributions of D^0-\bar{D}^0 or B^0-\bar{B}^0 Mixing and CP Violation