Plots and Results, Winter conferences 2005
(including all experimental results presented at
Moriond 2005 and CKM 2005, San Diego)

Newest and more plots and results can be found in this seminar: ppt file (SLAC, May 2005)

Menu:

Numerical results:

A brief document that provides the collection of up-to-date inputs to the global CKM analysis and the numerical results found. 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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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 the most recent α/Φ2- and γ/Φ3-related inputs in the global CKM fit.
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Same as above, and also showing the 3σ contours of 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 including only the angle measurements in the global fit.
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Constraints in the (ρ-bar,η-bar) plane including only the angle measurements in the global fit, and also showing the 3σ contours of the fit.
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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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Constraints on the angle α/Φ2 from charmless B decays:

Constraint on α/Φ2 from B→ππ separatley for BABAR and Belle, and both combined. The light shaded region indicates the combined constraint when not using C(π0π0) in the isospin analysis.
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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).
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Constraint in the (ρ-bar,η-bar) plane from B→ππ, ρπ, ρρ, compared with the global CKM fit (not including these α-related measurements).
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Constraints on the angle γ/Φ3 from B decays to charm:

Constraints on γ/Phi;3 from D(*)K decays (GLW+ADS and Dalitz analyses) compared to the prediction from the global CKM fit (not including these measurements).
γ[GLW+ADS+GGSZ] = 63 +15 / –13°
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Constraint from limit on the B+→τ+ ν branching fraction (recent result from BABAR)

Constraint in the (ρ-bar,η-bar) plane from the simultaneous use of the limit on the B+→τ+ν branching fraction and Δmd.
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Constraints on |sin(2β+γ)|

Constrains on |sin(2β+γ)| from the measurement of time-dependent CP asymmetries in D(*) π (ρ). We use the Moriond05 HFAG average 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.
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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)|] = 70 +12 / – 14°
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Constrains from |sin(2β+γ)| in the (ρ-bar,η-bar) plane.
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Contribution of the different input measurement families
to the constraint in the (ρ-bar,η-bar) plane

Constrains 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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Constrains from CP violating quantities (sin(2β), α, γ and εk) in the (ρ-bar,η-bar) plane.
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Constrains from |Vub / Vcb| and s to d transition in the (ρ-bar,η-bar) plane.
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Constrains from |Vub / Vcb| and b to d transition in the (ρ-bar,η-bar) plane.
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Constrains from |Vub / Vcb| and b to s transition in the (ρ-bar,η-bar) plane.
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New physics in B0- B0bar Mixing

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:
rd2 * exp(i 2*Θd) = <B0 | H[full] | B0-bar>
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<B0 | H[SM] | B0-bar>
Constraints from |Vcb| + |Vub| , Δmd=Δmd{SM} * rd2 and sin(2β+2Θd) in the (ρ-bar,η-bar) plane.
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Constraints from |Vcb| + |Vub| , Δmd=Δmd{SM} * rd2 and sin(2β+2Θd) in the (2Θd , rd2) plane.
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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:
in the (ρ-bar,η-bar) plane.
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in the (2*Θd,rd2) plane.
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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%.