Preliminary results as of Winter 2014
(Moriond 2014 conference)

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The global CKM fit: Inputs and Numerical results
The global CKM fit: Pulls
The global CKM fit in the large (ρ-bar,η-bar) plane
The global CKM fit in the small (ρ-bar,η-bar) plane (zoom)
The global CKM fit in the large (ρs-bar,ηs-bar) plane
Constraint from BR(B+→τ+ ν)
The global CKM fit in the (|Vud|,|Vus) plane
The global CKM fit in the (|Vcd|,|Vcs) plane
Constraints on the angle γ/ϕ3 from B decays to charm


Numerical results:

The results of the global CKM analysis include:

  • Wolfenstein parameters,
  • UT angles and sides,
  • UTsangle and apex,
  • CKM elements,
  • theory parameters,
  • rare branching fractions (B->lν, B->ll).

Numerical Results

Pulls

Pulls for various inputs or parameters involved in the Standard Model global fit. Each pull (in units of σ) is computed by taking the square root of the difference between χ2min obtained including or not including direct information on the quantity. This corresponds to consider Δχ2X;min2with data on X;min- χ2without data X;min as a random variable distributed with 1 degree of freedom, and reinterpret the probability of reaching the observed value in units of σ.

The presence of a plateau in the Rfit model for theoretical uncertainties may lead to a vanishing pull for some quantities even in cases where the predicted and observed values are not identical.

Many of the pulls presented in this plot are correlated [this is for instance the case for sin 2β and Br(B→τν)], so that the distribution of the corresponding p-values should not be expected to be flat


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The global CKM fit in the large (ρ-bar,η-bar) plane:

Constraints in the (ρ-bar,η-bar) plane. The red hashed region of the global combination corresponds to 68% CL.
α, β, γ
convention
ϕ1, ϕ2, ϕ3
convention

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Constraints in the (ρ-bar,η-bar) plane. The |Vub| constraint has been splitted in the two contributions: |Vub| from inclusive and exclusive semileptonic decays (plain dark green) and |Vub| from B+→τ+ ν (hashed green). The red hashed region of the global combination corresponds to 68% CL.
α, β, γ
convention
ϕ1, ϕ2, ϕ3
convention

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The global CKM fit in the small (ρ-bar,η-bar) plane (zoom):

Zoomed constraints in the (ρ-bar,η-bar) plane.The red hashed region of the global combination corresponds to 68% CL.
α, β, γ
convention
ϕ1, ϕ2, ϕ3
convention

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Zoomed constraints in the (ρ-bar,η-bar) plane. The |Vub| constraint has been splitted in the two contributions: |Vub| from inclusive and exclusive semileptonic decays (plain dark green) and |Vub| from B+→τ+ ν (hashed green). The red hashed region of the global combination corresponds to 68% CL.
α, β, γ
convention
ϕ1, ϕ2, ϕ3
convention

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Zoomed constraints in the (ρ-bar,η-bar) plane not including the angle measurements in the global fit.
α, β, γ
convention
ϕ1, ϕ2, ϕ3
convention

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Constraints in the (ρ-bar,η-bar) plane including only the angle measurements.
α, β, γ
convention
ϕ1, ϕ2, ϕ3
convention

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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.
α, β, γ
convention
ϕ1, ϕ2, ϕ3
convention

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Constraints from CP violating quantities (sin(2β), α, γ and εk) in the (ρ-bar,η-bar) plane.
α, β, γ
convention
ϕ1, ϕ2, ϕ3
convention

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Constraints from "Tree" quantities in the (ρ-bar,η-bar) plane (involving γ(DK) and α from the isospin analysis with the help of sin2β (charmonium), which gives another tree only γ measurement (the only assumption is that the ΔI=3/2 b-->d EW penguin amplitude is negligible)).
α, β, γ
convention
ϕ1, ϕ2, ϕ3
convention

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Constraints from "Tree" quantities in the (ρ-bar,η-bar) plane (only γ(DK) is used).
α, β, γ
convention
ϕ1, ϕ2, ϕ3
convention

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Constraints from "Tree" quantities in the (ρ-bar,η-bar) plane with only input on |Vub| from semileptonic decays (ony γ(DK) is used).
α, β, γ
convention
ϕ1, ϕ2, ϕ3
convention

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Constraints from "Tree" quantities in the (ρ-bar,η-bar) plane with only input on |Vub| from exclusive semileptonic decays (only γ(DK) is used).
α, β, γ
convention
ϕ1, ϕ2, ϕ3
convention

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Constraints from "Tree" quantities in the (ρ-bar,η-bar) plane with only input on |Vub| from inclusive semileptonic decays (only γ(DK) is used).
α, β, γ
convention
ϕ1, ϕ2, ϕ3
convention

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Constraints from "Loop" quantities in the (ρ-bar,η-bar) plane.
α, β, γ
convention
ϕ1, ϕ2, ϕ3
convention

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Constraints in the (ρ-bar,η-bar) plane, not including the braching ratio of B+ → τ+ν in the global fit.
α, β, γ
convention
ϕ1, ϕ2, ϕ3
convention

eps png


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Constraints in the (ρ-bar,η-bar) plane not including the measurement of sin2β in the global fit.
α, β, γ
convention
ϕ1, ϕ2, ϕ3
convention

eps png


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The global CKM fit in the large (ρs-bar,ηs-bar) plane:

Constraints in the (ρs-bar,ηs-bar) plane. The red hashed region of the global combination corresponds to 68% CL.
α, β, γ
convention
ϕ1, ϕ2, ϕ3
convention

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Constraint from the B+→τ+ ν branching ratio:

There is a specific correlation between sin2β and BR(B→τν), regarding the prediction from the global fit without using these measurements. The cross corresponds to the experimental value with 1 sigma errors.


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The constraint can also be seen from the point of view of lattice inputs, with the predictions on the decay constant fBd and fBd Sqrt[BBd]


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The global CKM fit in the (|Vud|,|Vus|) plane:

Constraints in the (|Vud|,|Vus|) plane. The indirect constraints (coming from b transitions) are related to |Vud| and |Vus| through unitarity. The red hashed region of the global combination corresponds to 68% CL.


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The global CKM fit in the (|Vcd|,|Vcs|) plane:

Constraints in the (|Vcd|,|Vcs|) plane. The indirect constraints (combing from b and s transitions) are related to |Vcd| and |Vcs| through unitarity. The direct constraints combine leptonic and semileptonic D and Ds decays as well as information from neutrino-nucleaon scattering and W → cs decays. The red hashed region of the global combination corresponds to 68% CL.


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Constraints in the (|Vcd|,|Vcs|) plane where direct constraints involve only leptonic D and Ds decays with our inputs for lattice averages fD=249.2 ± 1.2 ± 4.5 MeV and fDs/fD=1.185 ± 0.005 ± 0.010.


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Constraints in the (|Vcd|,|Vcs|) plane where direct constraints involve only semileptonic D and Ds decays with our inputs for lattice averages FD → π(0)=0.666 ± 0.017 ± 0.048 and FD → K (0)=0.747 ± 0.010 ± 0.034.


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Constraints in the (|Vcd|,|Vcs|) plane where direct constraints involve only information from neutrino-nucleaon scattering and W→ cs decays (no lattice input).


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Constraints on the angle γ/ϕ3 from B decays to charm :

Constraints on γ/ϕ3 from world average D(*)K(*) decays (GLW+ADS) and Dalitz analyses (GGSZ): γ[combined] = 70.0+7.7-9.0°, compared to the prediction from the global CKM fit (not including these measurements): γ[fit] = 66.4+1.2-3.3°


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Constraints on γ/ϕ3 from all measurements on D(*)K(*) decays (GLW+ADS) and Dalitz analyses (GGSZ) (methods shown separately): γ[combined] = 70.0+7.7-9.0°


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Constraints on γ/ϕ3 from BaBar measurements on D(*)K(*) decays (GLW+ADS) and Dalitz analyses (GGSZ) (methods shown separately): γ[BaBar] = 72+17-19°


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Constraints on γ/ϕ3 from Belle measurements on D(*)K(*) decays (GLW+ADS) and Dalitz analyses (GGSZ) (methods shown separately): γBelle] = 73+13-15°


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Constraints on γ/ϕ3 from LHCb measurements on D(*)K(*) decays (GLW+ADS) and Dalitz analyses (GGSZ) (methods shown separately):: γ[LHCb] = 68+12-15°


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Constraint on the ratio of interfering amplitudes rB of the decay B → DK from world average D(*)K(*) decays (GLW+ADS) and Dalitz analyses (GGSZ): rB(DK) = 0.0972+0.0063-0.0064 .


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Constraint on the ratio of amplitudes rB of the decay B → D*K: rB(D*K) =0.120+0.018-0.020.


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Constraint on the ratio of amplitudes rB of the decay B → DK*: rB(DK*) = 0.137+0.045-0.047.


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Constraint on the strong phase between the interfering amplitudes of the decay B → DK from world average D(*)K(*) decays (GLW+ADS) and Dalitz analyses (GGSZ): δB(DK) = 121.1+8.2-9.3°.


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Constraint on the strong phase between the interfering amplitudes of the decay B → D*K: δB(D*K) = -50+13-15°.


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Constraint on the strong phase between the interfering amplitudes of the decay B → DK*: δB(DK*) = 107+35-42°.


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