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Depuzzling $B \to K\pi$: constraints on the Unitarity Triangle from $B$, $B_s \to \pi\pi$, $K\pi$, $KK$ decays in the $SU(3)$ limit

Abstract : Constraining CKM parameters from charmless hadronic B decays requires methods for addressing the hadronic uncertainties. A complete technique is presented, using relations between amplitudes in the B, Bs -> pipi, Kpi, KK system obtained in the exact SU(3) symmetry limit, without having to neglect annihilation/exchange topologies. Naive SU(3)-breaking effects in the decay amplitudes are taken into account, through the inclusion of pi and K decay constants in the normalisations and conservative theoretical errors. Already with the limited set of observables currently available, significant constraints on the CKM parameters are obtained. Also, subsets of observables are shown to bring non trivial constraints on the CKM angles alpha and beta, in agreement with analytical solutions that we derive. Finally, the future physics potential of this method is estimated, in light of the increased precision of measurements from the current B-factories, and the inclusion of several new observables from Bs decays expected to be provided by the LHC experiments.
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http://hal.in2p3.fr/in2p3-00127208
Contributor : Dominique Girod <>
Submitted on : Monday, January 29, 2007 - 2:20:01 PM
Last modification on : Thursday, December 10, 2020 - 12:32:17 PM

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J. Malclès. Depuzzling $B \to K\pi$: constraints on the Unitarity Triangle from $B$, $B_s \to \pi\pi$, $K\pi$, $KK$ decays in the $SU(3)$ limit. 41st Rencontres de Moriond on Electroweak Interactions and Unified Theories, Mar 2006, La Thuile, Italy. ⟨in2p3-00127208⟩

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