Results as of FPCP 2006
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| 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. |
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| α,β,γ convention: | |
| Constraints in the (ρ-bar,η-bar) plane with FPCP06 inputs and experimental measurements except ΔMs as of Summer 2005 |
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| Constraints in the (ρ-bar,η-bar) plane with FPCP06 inputs and experimental measurements except ΔMs as of Moriond 2006 (with D0 result but not CDF result). |
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| Constraints in the (ρ-bar,η-bar) plane with FPCP06 inputs and experimental measurements (with D0 and CDF ΔMs results) |
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| Comparison between CDF ΔMs measurement and CKM fit w/o ΔMs |
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| |Vtd/Vts| from the global fit, the CDF ΔMs measurement and the ratio of the branching fractions (B→ρ0γ / B→K*0 γ) (average of BABAR and Belle) |
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Constraint from the B+→τ+ ν branching fraction:
| α,β,γ convention: | φ1,φ2,φ3 convention: | |
| Constraint in the (ρ-bar,η-bar) plane from the simultaneous use of the the B+→τ+ν branching fraction and Δmd. |
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| Constraint in the (ρ-bar,η-bar) plane from the simultaneous use of the the B+→τ+ν branching fraction and Δmd with improved staggered fermions (see hep-lat/0510113). |
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| 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+→τ+ν). 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). |
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The global CKM fit in the large (ρ-bar,η-bar) plane:
| α,β,γ convention: | φ1,φ2,φ3 convention: | |
| Constraints in the (ρ-bar,η-bar) plane including (a.o.) the most recent α/Φ2- and γ/Φ3-related inputs in the global CKM fit. |
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| Constraints in the (ρ-bar,η-bar) plane not including the angle measurements in the global fit. |
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| Constraints in the (ρ-bar,η-bar) plane not including the angle measurements. |
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| Constraints in the (ρ-bar,η-bar) plane including only the angle measurements. |
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| Constraints from CP conserving quantities (|Vub / Vcb|, Δmd, (Δmd and Δms) and B+ →τ+ ν) in the (ρ-bar,η-bar) plane. |
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| Constraints from CP violating quantities (sin(2β), α, γ and εk) in the (ρ-bar,η-bar) plane. |
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The global CKM fit in the small (ρ-bar,η-bar) plane (zoom):
| α,β,γ convention: | φ1,φ2,φ3 convention: | |
| Zoomed constraints in the (ρ-bar,η-bar) plane including the most recent α/Φ2- and γ/Φ3-related inputs in the global CKM fit. |
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| Zoomed constraints in the (ρ-bar,η-bar) plane not including the angle measurements in the global fit. |
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| Zoomed constraints in the (ρ-bar,η-bar) plane not including the angle measurements but sin2β. |
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| Zoomed constraints in the (ρ-bar,η-bar) plane not including the angle measurements but sin2β and α. |
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| Zoomed constraints in the (ρ-bar,η-bar) plane not including the angle measurements. |
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| Constraints in the (ρ-bar,η-bar) plane including only the angle measurements. |
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| Constraints from CP conserving quantities (|Vub / Vcb|, Δmd, (Δmd and Δms) and B+ →τ+ ν) in the (ρ-bar,η-bar) plane. |
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| Constraints from CP violating quantities (sin(2β), α, γ and εk) in the (ρ-bar,η-bar) plane. |
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| Constraints from "Tree" quantities in the (ρ-bar,η-bar) plane. |
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| Constraints from "Loop" quantities in the (ρ-bar,η-bar) plane. |
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Constraints on the angle α/Φ2 from charmless B decays:
| Constraint on α/Φ2 from B→ρρ. |
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Constraints on α/Φ2 from B→ππ, ρπ, ρρ,
compared to the prediction from the CKM fit (not including these measurements). α[combined] = 100.2 +15.0/–8.8 deg. |
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| The numerical results for these quantities are given in the summary paper |
Constraints on the angle γ/Φ3
from B decays to charm :
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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] = 62 +35/–25 deg. |
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| The numerical results for these quantities are given in the summary paper |
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Constraints on |sin(2β+γ)| from the measurement of time-dependent CP asymmetries in
D(*) π (ρ). Moriond06 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 = 0.013 ± 0.0023 and r* = 0.019 ± 0.0029, and apply an additional theoretical uncertainty in form of a 15% error range to these. |
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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)|] = 71 +22 / – 30° |
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| Constraints from |sin(2β+γ)| in the (ρ-bar,η-bar) plane. |
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