An analysis of the time-dependent CP asymmetryin $B \to \pi \pi$ decays in the standard model |
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Authors: | Email author" target="_blank">A?AliEmail author E?Lunghi A?Ya?Parkhomenko |
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Institution: | (1) Theory Group, Deutsches Elektronen-Synchrotron DESY, 22603 Hamburg, Germany;(2) Institut für Theoretische Physik, Universität Bern, 3012 Bern, Switzerland;(3) Institut für Theoretische Physik, Universität Zürich, 8057 Zürich, Switzerland |
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Abstract: | Measurements of the time-dependent CP-asymmetry in the decay
and its charge conjugate by the BELLE and BABAR collaborations currently yield
and
, characterizing the direct and mixing-induced CP-asymmetries, respectively. We study the implication of these measurements on the CKM phenomenology taking into account the available information in the quark mixing sector. Our analysis leads to the results that the ratio |P
c
/T
c
| involving the QCD-penguin and tree amplitudes and the related strong phase difference
in the
decays are quite substantial. Using the isospin symmetry to constrain |P
c
/T
c
| and
, where
parameterizes the penguin-induced contribution, we present a fit of the current data including the measurements of
and
. Our best-fits yield
,
,
,
, and
. At 68% C.L., the ranges are
,
,
,
and
. Currently en vogue dynamical approaches to estimate the hadronic matrix elements in
decays do not provide a good fit of the current data.Received: 5 April 2004, Published online: 14 July 2004A.Ya. Parkhomenko: On leave of absence from Department of Theoretical Physics, Yaroslavl State University, Sovietskaya 14, 150000 Yaroslavl, Russia. |
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Keywords: | |
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