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Abstract

We present an up-to-date profile of the Cabibbo-Kobayashi-Maskawa matrix with emphasis on the interpretation of recent CP-violation results from the B factories. For this purpose, we review all relevant experimental and theoretical inputs from the contributing domains of electroweak interaction. We give the [`(r)]\overline\rho and [`(h)]\overline\eta , by means of a global CKM fit. The fit is dominated by the precision measurement of sin2 b\sin 2 \beta by the B factories. A detailed numerical and graphical study of the impact of the results is presented. We propose to include sin2a\sin 2\alpha from the recent measurement of the time-dependent CP-violating asymmetries in B0®r+ r-B^0\to\rho^ + \rho^- , using isospin relations to discriminate the penguin contribution. The constraint from e¢/e\varepsilon^\prime/\varepsilon is discussed. We study the impact from the branching fraction measurement of the rare kaon decay K+ ®p+ n[`(n)]K^ + \to\pi^ + \nu\overline\nu , and give an outlook into the reach of a future measurement of K0L®p0n[`(n)]K^0_L\to\pi^0\nu\overline\nu . The B system is investigated in detail. We display the constraint on 2b+ g2\beta + \gamma and g\gamma from B0® D(*)±pB^0\to D^{(*)\pm}\pi^\mp and B+ ® D(*)0K+B^ + \to D^{(*)0}K^ + decays, respectively. A significant part of this paper is dedicated to the understanding of the dynamics of B decays into pp\pi\pi , KpK\pi , rp\rho\pi , rr\rho\rho and modes related to these by flavor symmetry. Various phenomenological approaches and theoretical frameworks are discussed. We find a remarkable agreement of the pp\pi\pi and KpK\pi data with the other constraints in the unitarity plane when the hadronic matrix elements are calculated within QCD Factorization, where we apply a conservative treatment of the theoretical uncertainties. A global fit of QCD Factorization to all pp\pi\pi and KpK\pi data leads to precise predictions of the related observables. However sizable phenomenological power corrections are preferred. Using an isospin-based phenomenological parameterization, we analyze separately the B® KpB\to K\pi decays, and the impact of electroweak penguins in response to recent discussions. We find that the present data are not sufficiently precise to constrain either electroweak parameters or hadronic amplitude ratios. We do not observe any unambiguous sign of New Physics, whereas there is some evidence for potentially large non-perturbative rescattering effects. Finally we use a model-independent description of a large class of New Physics effects in both B0[`(B)]0B^0\overline B^0 mixing and B decays, namely in the b® db\to d and b® sb\to s gluonic penguin amplitudes, to perform a new numerical analysis. Significant non-standard corrections cannot be excluded yet, however Standard Model solutions are favored in most cases. In the appendix to this paper we propose a frequentist method to extract a confidence level on Dms\Delta m_s from the experimental information on B0s[`(B)]s0B^0_s \overline B_s^0 oscillation. In addition we describe a novel approach to combine potentially inconsistent measurements. All results reported in this paper have been obtained with the numerical analysis package CKMfitter, featuring the frequentist statistical approach Rfit.
Received: 13 July 2004, Published online: 12 April 2005

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