Abstract
Dalitz-plot analyses of Brightarrow Kpi pi decays provide direct access to decay amplitudes, and thereby weak and strong phases can be disentangled by resolving the interference patterns in phase space between intermediate resonant states. A phenomenological isospin analysis of Brightarrow K^*(rightarrow Kpi )pi decay amplitudes is presented exploiting available amplitude analyses performed at the BaBar, Belle and LHCb experiments. A first application consists in constraining the CKM parameters thanks to an external hadronic input. A method, proposed some time ago by two different groups and relying on a bound on the electroweak penguin contribution, is shown to lack the desired robustness and accuracy, and we propose a more alluring alternative using a bound on the annihilation contribution. A second application consists in extracting information on hadronic amplitudes assuming the values of the CKM parameters from a global fit to quark flavour data. The current data yields several solutions, which do not fully support the hierarchy of hadronic amplitudes usually expected from theoretical arguments (colour suppression, suppression of electroweak penguins), as illustrated from computations within QCD factorisation. Some prospects concerning the impact of future measurements at LHCb and Belle II are also presented. Results are obtained with the CKMfitter analysis package, featuring the frequentist statistical approach and using the Rfit scheme to handle theoretical uncertainties.
Highlights
The constraints obtained from some of the non-leptonic two-body B decays can be contrasted with the unclear situation of the theoretical computations for these processes
A method, proposed some time ago by two different groups and relying on a bound on the electroweak penguin contribution, is shown to lack the desired robustness and accuracy, and we propose a more alluring alternative using a bound on the annihilation contribution
Isospin analysis allows us to express this decay in terms of Cabibbo– Kobayashi–Maskawa (CKM) parameters and six complex hadronic amplitudes, but reparametrisation invariance prevents us from extracting simultaneously information on the weak phases and the hadronic amplitudes needed to describe these decays
Summary
The constraints obtained from some of the non-leptonic two-body B decays can be contrasted with the unclear situation of the theoretical computations for these processes. The study of these modes provides experimental information on the dynamics of pseudo-scalar–vector modes, which is less known and more challenging from the theoretical point of view. This system has been studied extensively at the BaBar [38,39,40,41] and Belle [43,44] experiments, and a large set of observables is readily available. We discuss various technical aspects concerning the inputs and the fits presented in the paper
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