CP violation and the absence of second class currents in charmless B decays
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The absence of second class currents together with the assumption of the factorization for non-leptonic B decays provide new constraints on CP observables in the decay \(B \rightarrow a_0(980)(\rightarrow \eta\pi)\pi\). The kinematics of this decay does not allow for interference between the oppositely charged resonances in the Dalitz plot as in \(B^0 \rightarrow \rho(770)\pi \). Nonetheless, under the assumption of factorization, the \(B \rightarrow a_0\pi\) two-body time-dependent isospin analysis leads to a more robust extraction of the angle \(\alpha\) than in the \(B \rightarrow \rho\pi\) isospin-pentagon analysis. The absence of second class currents might lead to enhanced direct CP violation and/or allows for a test of some assumptions made in the \(\alpha\) analysis in other decays like \(B \to a_0 \rho, B \rightarrow b_1(1235)\pi, B\to a_0 a_0\), \(B\to \eta(\eta')\pi\pi\) and \(B\to b_1 a_0\). The effects from non-factorizable contributions on the determination of \(\alpha\) are estimated by means of a numerical study.
KeywordsDalitz Plot Class Current Robust Extraction Isospin Analysis
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