A brief document that provides the collection of up-to-date inputs
to the global CKM analysis and the numerical results obtained from it.
The results include: Wolfenstein parameters, UT angles,
(combinations of) CKM elements, theory parameters and rare
branching fractions.
Detailed background information on the methodology and
the treatment of experimental and theoretical uncertainties
is provided in hep-ph/0406184.
Constraints on α/Φ2 from B→ππ, ρπ, ρρ, compared to the prediction from the CKM fit (not including these measurements).
α[combined] = 98.6 +12.6/–8.1 deg.
Constraints on γ/Φ3 from world average D(*)K decays
(GLW+ADS) and Dalitz analyses compared to the prediction from the global
CKM fit (not including these measurements).
γ[combined] = 63 +15/–12 deg.
Constraints on γ/Φ3 from world average D(*)K decays
(GLW+ADS) and Dalitz analyses from BABAR compared to the prediction from the global
CKM fit (not including these measurements).
Constraints in the (ρ-bar,η-bar) plane on γ/Φ3 from world average D(*)K decays
(GLW+ADS) and Dalitz analyses compared to the prediction from the global
CKM fit (not including these measurements).
Constraints in the (ρ-bar,η-bar) plane on γ/Φ3 from world average D(*)K decays
(GLW+ADS) and Dalitz analyses from BABAR compared to the prediction from the global
CKM fit (not including these measurements).
Constraints on the angle
βs =arg(-VtsVtb*/VcsVcb*)
(upper plot) and sin(2βs) (lower plot)
from the global CKM fit (no direct measurement from the time-dependent
CP asymmetry in B0→J/ψφ decays is available yet).
Constraint in the (ρ-bar,η-bar) plane from the simultaneous
use of the limit on the B+→τ+ν branching
fraction and Δmd.
Also shown is the constraint one would obtain by a precise
measurement of BR(B+->tau+nu). It illustrates the gain
in accuracy obtained from the simultaneous use of the
two constraints ( B+→τ+ν and Δmd),
where the uncertainty from fB is reduced (it cancels
in the ratio).
Constraint in the (ρ-bar,η-bar) plane (not including the angle measurements in the global fit)
from the branching fraction
(B0→ρ0 γ / B0→K*0 γ).
Average BABAR and Belle.
Constraint in the (ρ-bar,η-bar) plane from the ratio of the branching fractions
(B→ργ / B→K* γ) where the average of neutral and charged B decays
(and average of BABAR and Belle) has been used.
Constraint in the (ρ-bar,η-bar) plane (not including the angle measurements in the global fit)
from the ratio of the branching fractions
(B→ργ / B→K* γ) where the average of neutral and charged B decays
(and average of BABAR and Belle) has been used.
Constraints on |sin(2β+γ)| from the measurement of time-dependent CP asymmetries in D(*) π (ρ). Moriond05 HFAG average is used as input. The extraction of the UT angles relies on SU(3) symmetry for the estimates of the suppressed-to-leading amplitude ratios. We use r = 0.019 ± 0.004 and r* = 0.015 + 0.004 / – 0.006 , and apply an additional theoretical uncertainty in form of a 30% error range to these.
Translation of this result into γ (using sin(2β) as additional input and choosing among the four solutions to the SM one).
γ[GLW+ADS+GGSZ+|sin(2β+γ)|] = 70 +12 / – 14°
New physics in B0- B0bar Mixing can be described model-independently by
introducing two new parameters measuring the relative strength (rd2)
and the relative phase between the B0- B0bar mixing matrix element
containing contributions from SM as well as from NP contributions
compared to SM contributions only:
Since there are four free parameters in the fit (ρ-bar,η-bar,2*Θd,rd2)
but only three constraints depend on those there is no other constraint in the
(ρ-bar,η-bar) plane visible but the one coming from |Vub| and |Vcb| alone.
As a consequence, the allowed region in the (2*Θd,rd2) plane is large.
When using in addition the following inputs:
cos(2β) > 0 (suggested by data), α (ππ, 3π, ρρ), γ
the allowed regions are substantially reduced:
There are two solutions left. The SM solution (2*Θd = 0 ,rd2 = 1) is
prefered. If the other solution can be eliminated with more data the
possible additional phase from NP could not be very large (<15 degree).
The relative strength of NP to SM contributions can still easily be of
order 100%.
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"Movie" showing step-by-step the constraints in the (ρ-bar,η-bar) plane
