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Weak phase alpha from B⁰-> a₁⁺⁻(1260) pi⁻⁺

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arxiv hep-ph/0512148 v2 pith:2KVGYUYV submitted 2005-12-12 hep-ph

Weak phase alpha from B⁰-> a₁⁺⁻(1260) pi⁻⁺

classification hep-ph
keywords alphaphaseapplyingdecaysweakachievedadmixturealpha-alpha
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 1 Pith paper

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  1. Impact of the $a_1(1260) \pi$ cascade contribution on $D^0 \to \pi^+ \pi^- \ell^+ \ell^-$ decays

    hep-ph 2025-11 conditional novelty 6.0

    Adding the a1(1260)pi cascade to the Standard Model isobar description of D0 -> pi+ pi- l+ l- substantially improves agreement with LHCb data and changes several angular observables.