CKMfitter global fit results as of SUMMER 08:
UT angles and sides:
UTs apex and angle:
CKM elements:
Theory parameters:
Rare branching fractions (B→lν, B→ll):
The inputs for the global fit (pdf).
- Wolfenstein parameters
- UT angles and sides
- UTsangle and apex
- CKM elements
- Theory parameters
- Rare branching fractions (B→lν, B→ll)
Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
---|---|---|---|
A | 0.8117 [+0.0096 -0.0236] | 0.812 [+0.019 -0.037] | 0.812 [+0.029 -0.046] |
λ | 0.2252 [+0.0008 -0.0008] | 0.2252 [+0.0016 -0.0016] | 0.2252 [+0.0025 -0.0025] |
ρbar | 0.145 [+0.024 -0.034] | 0.145 [+0.055 -0.048] | 0.145 [+0.073 -0.060] |
ηbar | 0.339 [+0.019 -0.015] | 0.339 [+0.036 -0.025] | 0.339 [+0.053 -0.034] |
J [10-5] | 2.92 [+0.17 -0.14] | 2.92 [+0.34 -0.18] | 2.92 [+0.50 -0.22] |
Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
---|---|---|---|
sin 2α | -0.05 [+0.19 -0.13] | -0.05 [+0.26 -0.26] | -0.05 [+0.33 -0.35] |
sin 2α (meas. not in the fit) | -0.20 [+0.31 -0.11] | -0.20 [+0.42 -0.17] | -0.20 [+0.49 -0.22] |
sin 2β | 0.686 [+0.024 -0.022] | 0.686 [+0.047 -0.037] | 0.686 [+0.070 -0.051] |
sin 2β (meas. not in the fit) | 0.816 [+0.026 -0.039] | 0.816 [+0.039 -0.115] | 0.816 [+0.052 -0.171] |
|sin (2β+γ)| | 0.939 [+0.022 -0.038] | 0.939 [+0.038 -0.061] | 0.939 [+0.048 -0.083] |
α [deg] | 91.5 [+3.8 -5.4] | 91.5 [+7.8 -7.5] | 91.5 [+10.3 -9.6] |
α [deg] (meas. not in the fit) | 95.8 [+3.3 -9.0] | 95.8 [+5.0 -12.1] | 95.8 [+6.6 -14.2] |
α [deg] (dir. meas.) | 88.2 [+6.1 -4.8] | 0 [+7 -0] || 88 [+24 -11] || 114.4 [+1.2 -1.2] || 176.9 [+3.1 -13.9] | 0 [+16 -0] || 88 [+35 -15] || 176.9 [+3.1 -25.9] |
β [deg] | 21.66 [+0.95 -0.87] | 21.7 [+1.9 -1.4] | 21.7 [+2.9 -2.0] |
β [deg] (meas. not in the fit) | 27.4 [+1.3 -1.9] | 27.4 [+2.1 -5.1] | 27.4 [+2.8 -7.3] |
β [deg] (dir. meas.) | 21.11 [+0.94 -0.92] | 21.1 [+1.9 -1.8] | 21.1 [+2.9 -2.7] |
γ [deg] | 66.8 [+5.4 -3.8] | 66.8 [+7.5 -8.1] | 66.8 [+9.4 -10.6] |
γ [deg] (meas. not in the fit) | 66.8 [+5.4 -3.8] | 66.8 [+7.5 -8.1] | 66.8 [+9.5 -10.5] |
γ [deg] (dir. meas.) | 70 [+27 -29] | 70 [+44 -41] | 70 [+60 -52] || 131.04 [+0.29 -0.15] |
Ru | 0.369 [+0.015 -0.014] | 0.369 [+0.031 -0.023] | 0.369 [+0.047 -0.032] |
Rt | 0.920 [+0.035 -0.025] | 0.920 [+0.048 -0.054] | 0.920 [+0.061 -0.071] |
Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
---|---|---|---|
ρsbar | -0.0078 [+0.0018 -0.0013] | -0.0078 [+0.0026 -0.0030] | -0.0078 [+0.0032 -0.0040] |
ηsbar | -0.0181 [+0.0008 -0.0010] | -0.0181 [+0.0013 -0.0020] | -0.0181 [+0.0018 -0.0028] |
βs ≡ − arg(−Vcs V*cb/Vts V*tb) [rad] | 0.01801 [+0.00102 -0.00080] | 0.0180 [+0.0020 -0.0013] | 0.0180 [+0.0028 -0.0018] |
sin 2βs | 0.0360 [+0.0020 -0.0016] | 0.0360 [+0.0039 -0.0027] | 0.0360 [+0.0057 -0.0036] |
Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
---|---|---|---|
|Vud| | 0.97430 [+0.00019 -0.00019] | 0.97430 [+0.00038 -0.00038] | 0.97430 [+0.00057 -0.00057] |
|Vus| | 0.22521 [+0.00082 -0.00082] | 0.2252 [+0.0016 -0.0016] | 0.2252 [+0.0025 -0.0025] |
|Vub| | 0.00351 [+0.00015 -0.00015] | 0.00351 [+0.00030 -0.00023] | 0.00351 [+0.00046 -0.00030] |
|Vcd| | 0.22508 [+0.00082 -0.00082] | 0.2251 [+0.0016 -0.0016] | 0.2251 [+0.0025 -0.0025] |
|Vcs| | 0.97347 [+0.00019 -0.00019] | 0.97347 [+0.00039 -0.00038] | 0.97347 [+0.00058 -0.00057] |
|Vcb| | 0.04117 [+0.00038 -0.00115] | 0.04117 [+0.00076 -0.00164] | 0.0412 [+0.0011 -0.0020] |
|Vtd| | 0.00853 [+0.00034 -0.00027] | 0.00853 [+0.00049 -0.00048] | 0.00853 [+0.00063 -0.00062] |
|Vts| | 0.04043 [+0.00038 -0.00116] | 0.04043 [+0.00076 -0.00166] | 0.0404 [+0.0011 -0.0020] |
|Vtb| | 0.999146 [+0.000047 -0.000016] | 0.999146 [+0.000066 -0.000032] | 0.999146 [+0.000079 -0.000048] |
|Vud| (meas. not in the fit) | 0.97444 [+0.00028 -0.00028] | 0.97444 [+0.00055 -0.00056] | 0.97444 [+0.00082 -0.00084] |
|Vus| (meas. not in the fit) | 0.2257 [+0.0011 -0.0011] | 0.2257 [+0.0022 -0.0023] | 0.2257 [+0.0033 -0.0034] |
|Vub| (meas. not in the fit) | 0.00351 [+0.00015 -0.00017] | 0.00351 [+0.00030 -0.00030] | 0.00351 [+0.00046 -0.00041] |
|Vcb| (meas. not in the fit) | 0.04410 [+0.00068 -0.00408] | 0.0441 [+0.0021 -0.0049] | 0.0441 [+0.0029 -0.0054] |
Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
---|---|---|---|
Δmd [ps-1] (meas. not in the fit) | 0.570 [+0.076 -0.087] | 0.57 [+0.14 -0.14] | 0.57 [+0.18 -0.19] |
Δms [ps-1] (meas. not in the fit) | 17.7 [+1.7 -1.9] | 17.7 [+3.3 -4.0] | 17.7 [+4.5 -5.2] |
εK [10-3] (meas. not in the fit) | 2.04 [+0.50 -0.52] | 2.04 [+0.66 -0.69] | 2.04 [+0.81 -0.78] |
mc [GeV/c2] (meas. not in the fit) | 1.46 [+0.42 -0.43] | 1.46 [+0.56 -0.60] | 1.46 [+0.65 -0.77] |
mt [GeV/c2] (meas. not in the fit) | 160 [+13 -11] | 160 [+44 -15] | 160 [+59 -18] |
BK (lattice value not in the fit) | 0.80 [+0.20 -0.13] | 0.80 [+0.32 -0.17] | 0.80 [+0.41 -0.20] |
ξSU(3) (lattice value not in the fit) | 1.180 [+0.063 -0.051] | 1.18 [+0.16 -0.11] | 1.18 [+0.22 -0.15] |
fBs (lattice value not in the fit) | 0.245 [+0.010 -0.010] | 0.245 [+0.015 -0.019] | 0.245 [+0.019 -0.023] |
Observable | Central ± 1 σ | ± 2 σ | ± 3 σ |
---|---|---|---|
B(B+→τν) [10-4] | 0.937 [+0.096 -0.115] | 0.94 [+0.19 -0.24] | 0.94 [+0.28 -0.28] |
B(B+→τν) [10-4] (meas. not in the fit) | 0.786 [+0.179 -0.083] | 0.79 [+0.28 -0.12] | 0.79 [+0.38 -0.16] |
B(B+→μν) [10-6] | 0.421 [+0.043 -0.052] | 0.421 [+0.083 -0.106] | 0.42 [+0.13 -0.13] |
B(B+→eν) [10-11] | 0.99 [+0.10 -0.12] | 0.99 [+0.19 -0.25] | 0.99 [+0.30 -0.30] |
B(B→e+e-) [10-15] | 2.52 [+0.09 -0.21] | 2.52 [+0.18 -0.54] | 2.52 [+0.26 -0.63] |
B(B→μ+μ-) [10-11] | 10.8 [+0.4 -0.9] | 10.8 [+0.8 -2.3] | 10.8 [+1.1 -2.7] |
B(Bs→e+e-) [10-14] | 7.70 [+0.22 -0.62] | 7.70 [+0.43 -1.08] | 7.70 [+0.64 -1.27] |
B(Bs→μ+μ-) [10-9] | 3.29 [+0.10 -0.27] | 3.29 [+0.18 -0.46] | 3.29 [+0.27 -0.54] |