Weak phase alpha from B^0-> a_1^{+-}(1260) pi^{-+}

Abstract

Quasi two-body decays B^0(t)-> a_1^{+-}(1260) pi^{-+} identified by four charged pions determine a phase alpha_eff, which is equal to the weak phase alpha in the limit of vanishing penguin amplitudes. Applying flavor SU(3) to these decays and to B->a_1 K and B->K_1 pi, with K_1 an admixture of K_1(1270) and K_1(1400), we derive expressions providing bounds on alpha-alpha_{eff}. Higher precision in alpha may be achieved by an overall fit to a complete set of SU(3) related measurements. A method is sketched applying isospin symmetry to time-dependent invariant mass distributions in B->pi^+ pi^- pi^0 pi^0.

4 pages, small changes, to be published in Physical Review D

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• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2018
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• Light-Cone Distribution Amplitudes of Axial-vector Mesons
• Measurements of CP-Violating Asymmetries in B0 to a1(1260)^{+-} pi^{-+} Decays
• Nonleptonic two-body B-decays including axial-vector mesons in the final state
• Isospin analysis of charmless B-meson decays
• Study of B^0 -> rho^0 rho^0 decays, implications for the CKM angle phi_2 and search for other B^0 decay modes with a four-pion final state
• Measurement of branching fractions of B decays to K1(1270)pi and K1(1400)pi and determination of the CKM angle alpha from B0 --> a1(1260)+/- pi-/+
• Measurement of Branching Fraction and First Evidence of CP Violation in B0 --> a1+-(1260) pi-+ Decays
• Branching Ratios and CP Asymmetries of B \to a_1(1260) πand a_1(1260) K Decays
• Observation of B^+ Meson Decays to a1(1260)^+ K^0 and B^0 to a1(1260)^- K^+
• Penguin pollution estimates relevant for phi_2/alpha extraction
• Resolving the ${\varphi }_2$ ($\alpha$) ambiguity in $B^0\to a_1^{\pm }{\pi }^{\mp }$
• Resolving the ${\varphi }_2$ ($\alpha$) ambiguity in $B\to \rho \rho$
• CKM-UT Angles: Mixing and CP violation at the $B$ Factories
• CP Violation Results from B Decays at BaBar