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(*)±p-±B^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.