Results and Predictions

Results for 2005 Summer Conferences on :

ρ - η   plane    sin2β γ,α and sin(2β+γ)   sides   Δ ms  
Summary of Results
Table of Inputs

Results in the ρ - η   plane


(ρ-η) allowed region
(EPS) [JPG]

 
Allowed regions for (ρ - η). The closed contours at 68% and 95% probability are shown. The full lines correspond to 95% probability regions for the constraints, given by the measurements of | Vub|/| Vcb|, εK, Δmd, Δms and sin2β. The dotted curve corresponds to the 95% upper limit obtained from the experimental study of B0s oscillations.
 

ρ = 0.214 ± 0.047
η = 0.343 ± 0.028

(ρ-η) allowed region (no ε_K)
(EPS) [JPG]

 
Allowed regions for (ρ - η) (contours at 68%, 95%) as selected by the measurements of | Vub|/| Vcb|, Δmd and by the limit on Δms are compared with the bands (at 68% and 95% C.L.) from the measurements of CP violating quantities in the kaon εK) and in the B (sin2β) sectors.
 

ρ = 0.181 ± 0.060
η = 0.404 ± 0.035



ρ p.d.f. (all constraints)
(EPS) [JPG]

p.d.f. of ρ (all constraints)


η p.d.f. (all constraints)
(EPS) [JPG]

p.d.f. of η (all constraints)



sin 2β (results/predictions)



prediction on sin2β from UT sides
(EPS) [JPG]

prediction on sin2β from UT sides only
prediction on sin2β from all measurements
(EPS) [JPG]

prediction on sin2β from all measurements


PREDICTIONS:

sin 2β = 0.793 ± 0.033 (from UT sides)
sin 2β = 0.791 ± 0.034 (from UT sides + εk)
sin 2β = 0.734 ± 0.024 (all constraints)


MEASUREMENT:
sin 2β = 0.687 ± 0.032 (from J/Ψ,K0)



γ,α and sin(2β+γ) (results/predictions)



prediction on γ
(EPS) [JPG]

PREDICTIONS:
γ = (57.9 ± 7.4)°
(with all constraints)

prediction on α
(EPS) [JPG]

PREDICTIONS:
α = (98.2 ± 7.7)o
(with all constraints)

prediction on sin(2β+γ)
(EPS) [JPG]

PREDICTIONS:
2β+γ = (105 ± 8)o
(with all constraints)

prediction on sin2χ
(EPS) [JPG]

PREDICTIONS:
sin2χ = (3.65 ± 0.30)10-2
(with all constraints)



sides (results/predictions)



prediction on Vub
(EPS) [JPG]
|Vub| = (3.89 ± 0.16)10-3
(with all constraints)
|Vub| = (3.48 ± 0.20)10-3
(from other constraints)
|Vub| = (4.21 ± 0.21)10-3
(from measurements)

prediction on Vcb
(EPS) [JPG]
|Vcb| = (4.18 ± 0.07)10-2
(with all constraints)





prediction on Vtd
(EPS) [JPG]
|Vtd| = (8.10 ± 0.45)10-3
(with all constraints)





prediction on Rb
(EPS) [JPG]
Rb = 0.408 ± 0.016
(with all constraints)

prediction on Rt
(EPS) [JPG]
Rt = 0.856 ± 0.053
(with all constraints)

prediction on Vtd/Vts
(EPS) [JPG]
|Vtd/Vts| = 0.197 ± 0.013
(with all constraints)



Summary of the Results


Results from the Standard Fit
Parameter
Value ± Error
95% probability
99% probability
ρ
0.214 ± 0.047 [0.112, 0.307] [0.075, 0.334]
η
0.343 ± 0.028 [0.289, 0.396] [0.273, 0.412]
α(°)
98.2 ± 7.7 [82.4, 113.0] [77.2, 117.1]
β(°)
23.7 ± 1.4 [22.3, 25.1] [20.8, 27.1]
γ(°)
57.9 ± 7.3 [43.8, 73.5] [40.1, 78.9]
sin 2α
-0.28 ± 0.25 [-0.72, 0.25] [-0.81, 0.42]
sin 2β
0.734 ± 0.024 [0.685, 0.781] [0.670, 0.795]
sin (2β+γ)
0.953 ± 0.037 [0.852,0.997] [0.804,0.998]
sin2χ[10-2]
3.65 ± 0.30 [3.07,4.22] [2.90,4.40]
Im λt [10-5]
13.6 ± 1.0 [11.7, 15.3] [11.1, 15.8]
Δ(ms) (ps-1)
19.1 ± 2.0 [15.4, 26.2] [15.0, 29.0]
|Vub|[10-3]
3.89 ± 0.16 [3.59, 4.21] [3.51, 4.33]
|Vcb|[10-2]
4.18 ± 0.07 [4.04, 4.32] [3.99, 4.36]
|Vtd|[10-3]
8.10 ± 0.45 [7.22, 9.02] [6.97, 9.32]
Rb
0.408 ± 0.016 [0.377, 0.441] [0.368, 0.451]
Rt
0.856 ± 0.053 [0.752, 0.967] [0.722, 1.005]
|Vtd/Vts|
0.197 ± 0.013 [0.173, 0.222] [0.166, 0.231]

Prediction on parameters using all other constraints
Parameter
Value ± Error
95% probability
99% probability
sin 2β
0.791 ± 0.034 [0.723, 0.853] [0.700, 0.871]
Δ(ms) (ps-1)
22.2 ± 3.1 [16.1, 28.4] [14.0, 30.6]
|Vub|[10-3]
3.48 ± 0.20 [3.09, 3.88] [3.00, 3.99]



Table of Inputs

Input values for parameters and constraints entering in the UT fit. Most of these values have been agreed at CKM Workshops CKM05 Workshops and HFAG . The novelities come from the new values of Vub, sin2β and mt from Lepton Photon 2005 conference.


Constraints, Parameters Value Gauss Error Flat Error Comments
sin 2β 0.687 0.032 -
λ 0.2258 0.0014 -
|Vcb| (10-3) 41.4 2.1 - Average of exclusive
|Vcb| (10-3) 41.6 0.7 0.6 Average of inclusive
|Vub| 10-4 (excl.) 38.0 2.7 4.7
|Vub| 10-4(incl. HFAG) 43.9 2.0 2.7 HFAG average
mb (GeV/c2) 4.21 0.08 -
mc (GeV/c2)   1.3 0.1 -
Δ(md) (ps-1) 0.502 0.006 - WA (CDF/CLEO/LEP/Babar/Belle)
Δ(ms) (ps-1) > 14.5 @ 95 % C.L. - - Sensitivity at 18.3 (CDF/LEP/SLD)
The Likelihood Ratio is used.
mt (GeV/c2) 165.0 3.9 - (CDF/D0)
fBs √BBs (MeV) 276 38 - Lattice QCD
ξ 1.24 0.04 0.06 Lattice QCD
|εK |10-3 2.280 0.013 -
BK 0.79 0.04 0.09 Lattice QCD
fK (GeV) 0.159 - -
Δ(mK) (10-2 ps-1) 0.5301 - -
αs(MZ) 0.119 0.003 -
GF (10-5 GeV-2) 1.16639 - -  
mW (GeV/c2) 80.425 - -
mBd (GeV/c2) 5.279 - -
mBs (GeV/c2) 5.375 - -
mK0 (GeV/c2) 0.497648 - -

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