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Title: Improved determination of the CKM Angle α from B --> π π decays
Authors: UTfit Collaboration
Bona, M.
Ciuchini, Marco
Franco, E.
Lubicz, Vittorio
Martinelli, G.
Parodi, F.
Pierini, M.
Roudeau, P.
Schiavi, C.
Silvestrini, L.
Sordini, V.
Stocchi, A.
Vagnoni, V.
Keywords: Bayesian statistics
CP invariance
Issue Date: Jul-2007
Publisher: American Physical Society
Abstract: Motivated by a recent paper that compares the results of the analysis of the CKM angle alpha in the frequentist and in the Bayesian approaches, we have reconsidered the information on the hadronic amplitudes, which helps in constraining the value of alpha in the standard model. We find that the Bayesian method gives consistent results irrespective of the parametrization of the hadronic amplitudes and that the results of the frequentist and Bayesian approaches are equivalent when comparing meaningful probability ranges or confidence levels. We also find that from B-->pipi decays alone the 95% probability region for alpha is the interval [80°, 170°], well consistent with recent analyses of the unitarity triangle where, by using all the available experimental and theoretical information, one gets alpha=(93±4)°. Last but not least, by using simple arguments on the hadronic matrix elements, we show that the unphysical region alpha~0, present in several experimental analyses, can be eliminated.
DOI: 10.1103/PhysRevD.76.014015
Appears in Collections:A - Articolo su rivista
X_Dipartimento di Fisica 'Edoardo Amaldi'

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