Experiment | |Vcb| F(1) (rescaled) [10-3] | r2 (rescaled) | Correlation (stat/syst/total) | Parameters | Remarks |
---|---|---|---|---|---|
ALEPH (excl) | 32.0 +/- 1.8 +/- 1.3 | 0.49 +/- 0.20 +/- 0.09 | 0.94/0.60/0.72 | input parameters | Phys.Lett.B395:373-,1997 |
CLEO | 41.6 +/- 1.3 +/- 1.8 |
1.37 +/- 0.09 +/- 0.20 |
0.87/0.68/0.67 |
input
parameters |
Phys.Rev.Lett.89:081803,2002 |
OPAL (excl) | 37.2 +/- 1.6 +/- 1.5 | 1.24 +/- 0.20 +/- 0.14 | 0.95/0.42/0.61 | input parameters | Phys.Lett.B482:15-,2000 |
OPAL (partial reco) | 37.6+/- 1.2 +/- 2.4 | 1.13 +/- 0.13 +/- 0.27 | 0.77/0.70/0.71 | input parameters | Phys.Lett.B482:15-,2000 |
DELPHI (partial reco) | 35.9 +/- 1.4 +/- 2.3 | 1.18 +/- 0.13 +/- 0.25 | 0.94/0.77/0.79 | input parameters | Phys.Lett.B510:55-,2001 |
BELLE (excl) | 34.9 +/- 2.0 +/- 1.8 | 1.15 +/- 0.15 +/- 0.10 | 0.91/0.68/0.78 | input parameters | Phys.Lett.B526:247-,2002 |
DELPHI (excl) | 36.6 +/- 1.8 +/- 1.9 | 1.04 +/-0.14 +/-0.15 | 0.89/0.50/0.58 | input parameters | Eur.Phys.J.C33:213,2004 [hep-ex/0401023] |
BABAR (excl) | 34.2 +/- 0.3 +/- 1.1 | 1.18 +/-0.05 +/-0.03 | 0.27 | input parameters | Phys.Rev.D77:032002,2008 [arXiv:0705.4008 [hep-ex]] |
Average | 36.14 +/- 0.55 | 1.17 +/- 0.05 | 0.24 |
chi2/dof = 33.9/17 (CL = 0.0) | eps 1 pdf 1 gif 1 eps 2 pdf 2 gif 2 |
Experiment | BF (rescaled) [%] | Remarks | |
---|---|---|---|
ALEPH (excl) | 5.60 +/- 0.26 +/- 0.53 | Phys.Lett.B395:373-387,1997 [Spires] | |
OPAL (excl) | 5.22+/- 0.20 +/- 0.5 | Exclusive reco, Phys.Lett.B482:15-30,2000 [hep-ex/0003013] | |
CLEO | 6.10 +/- 0.19 +/- 0.4 | Phys.Rev.Lett.89:081803,2002 | |
OPAL (partial reco) | 5.63 +/- 0.27 +/- 0.65 | Partial reco, Phys.Lett.B482:15-30,2000 [hep-ex/0003013] | |
DELPHI (partial reco) | 5.01 +/- 0.15 +/- 0.35 | Partial reco, Phys.Lett.B510:55-74,2001 [hep-ex/0104026] | |
BELLE (excl) | 4.80 +/- 0.25 +/- 0.44 |
Phys.Lett.B526:247-257,2002 [hep-ex/0111060] | |
DELPHI (excl) | 5.60 +/- 0.19 +/- 0.47 | Eur.Phys.J.C33:213,2004 [hep-ex/0401023] | |
BABAR (excl) | 4.62 +/- 0.04 +/- 0.33 | Phys.Rev.D77:032002,2008 [arXiv:0705.4008 [hep-ex]] | |
BABAR (tagged) | 5.44 +/- 0.16 +/- 0.25 | arXiv:0712.3503 [arXiv:0712.3503 [hep-ex]] | |
Average | 5.16 +/- 0.11 | chi2/dof = 34.8/9 (CL = 0.) | eps pdf gif |
Experiment | BF (rescaled) [%] | Parameters | Remarks |
---|---|---|---|
CLEO | 6.6+/- 0.2+/- 0.4 | input parameters | PRD 67, 032001 [arXiv:hep-ex/0210040] |
ARGUS | 6.5 +/- 1.4+/- 1.1 | input parameters | PL B275, 195 [Spires] |
BABAR tagged | 5.80 +/- 0.15+/- 0.30 | input parameters | arXiv:0712.3503 [hep-ex], accepted by PRL [arXiv:0712.3503 [hep-ex]] |
Average | 6.09 +/- 0.29 | chi2/dof = 3.7/2 (CL = 0.17) | eps pdf gif |
Experiment | |Vcb| G(1) (rescaled) [10-3] | rho2 (rescaled) | Correlation (stat/syst/total) | Parameters | Remarks |
---|---|---|---|---|---|
ALEPH | 38.80+/- 11.80+/- 6.20 | 0.95+/- 0.98+/- 0.36 | 0.98/0.99/0.96 | input parameters | Phys.Lett.B395:373-387,1997 [Spires] |
CLEO | 44.80 +/- 5.90+/- 3.45 | 1.27+/- 0.25+/- 0.14 | 0.95/0.98/0.96 | input parameters | Phys.Rev.Lett.82:3746,1999 [hep-ex/9811042] |
BELLE | 40.07+/- 4.40 +/- 5.14 | 1.12+/- 0.22+/- 0.14 | 0.96/0.96/0.92 | input parameters | Phys.Lett.B526:258-268,2002 [hep-ex/0111082] |
Average | 42.3+/- 4.5 | 1.17+/- 0.18 | 0.95/0.94/0.93 | chi2/dof = 0.30/4 | eps 1 pdf 1 gif 1 eps 2 pdf 2 gif 2 |
Experiment | BF (rescaled) [%] | Parameters | Remarks |
---|---|---|---|
ALEPH | 2.25 +/- 0.18+/- 0.36 | input parameters | Phys.Lett.B395:373-387,1997 [Spires] |
CLEO | 2.10+/- 0.13+/- 0.15 | input parameters | Phys.Rev.Lett.82:3746,1999 [hep-ex/9811042] |
BELLE | 2.09+/- 0.12+/- 0.39 | input parameters | Phys.Lett.B526:258-268,2002 [hep-ex/0111082] |
BABAR | 2.22+/- 0.11+/- 0.12 | input parameters | arXiv:0712.3503 [hep-ex], accepted by PRL [arXiv:0712.3503 [hep-ex]] |
Average | 2.17+/- 0.12 | chi2/dof = 0.3/3 (CL = 0.96) | eps pdf gif |
Experiment | BF (rescaled) [%] | Parameters | Remarks |
---|---|---|---|
CLEO | 2.23+/- 0.13+/- 0.17 | input parameters | Phys.Rev.Lett.82:3746,1999 [hep-ex/9811042] |
CLEO | 1.68+/- 0.6+/- 0.21 | input parameters | Phys. Rev. D43:651, 1991 [hep-ex/0111082] |
BABAR | 2.32+/- 0.09+/- 0.09 | input parameters | arXiv:0712.3503 [hep-ex], accepted by PRL [arXiv:0712.3503 [hep-ex]] |
Average | 2.28+/- 0.11 | chi2/dof = 0.97/2 (CL = 0.60) | eps pdf gif |
Experiment | BF (rescaled) [%] | Parameters | Remarks |
---|---|---|---|
BELLE | 0.42+/- 0.04+/- 0.05 | input parameters | arXiv:0711.3252 [hep-ex] [arXiv:0711.3252 [hep-ex]] |
BABAR | 0.42+/- 0.06+/- 0.03 | input parameters | arXiv:0712.3503 [hep-ex] [arXiv:0712.3503 [hep-ex]] |
Average | 0.42+/- 0.05 | chi2/dof = 0.001 (CL = 0.98) | eps pdf gif |
Experiment | BF (rescaled) [%] | Parameters | Remarks |
---|---|---|---|
BELLE | 0.68+/- 0.08+/- 0.07 | input parameters | arXiv:0711.3252 [hep-ex] [arXiv:0711.3252 [hep-ex]] |
BABAR | 0.59+/- 0.05+/- 0.04 | input parameters | arXiv:0712.3503 [hep-ex] [arXiv:0712.3503 [hep-ex]] |
Average | 0.61+/- 0.05 | chi2/dof = 0.5 (CL = 0.49) | eps pdf gif |
Experiment | BF (rescaled) [%] | Parameters | Remarks |
---|---|---|---|
BELLE | 0.43+/- 0.07+/- 0.05 | input parameters | arXiv:0711.3252 [hep-ex] [arXiv:0711.3252 [hep-ex]] |
BABAR | 0.43+/- 0.08+/- 0.03 | input parameters | arXiv:0712.3503 [hep-ex] [arXiv:0712.3503 [hep-ex]] |
Average | 0.43+/- 0.06 | chi2/dof = 0.001 (CL = 0.99) | eps pdf gif |
Experiment | BF (rescaled) [%] | Parameters | Remarks |
---|---|---|---|
BELLE | 0.57+/- 0.21+/- 0.07 | input parameters | arXiv:0711.3252 [hep-ex] [arXiv:0711.3252 [hep-ex]] |
BABAR | 0.48+/- 0.08+/- 0.04 | input parameters | arXiv:0712.3503 [hep-ex] [arXiv:0712.3503 [hep-ex]] |
Average | 0.49+/- 0.08 | chi2/dof = 0.15 (CL = 0.70) | eps pdf gif |
Experiment | BF (Rescaled) [%] | Input | Remarks |
---|---|---|---|
p(l) > 0.6 GeV/c | |||
ARGUS (e tag) | 9.15 +/- 0.50 +/- 0.33 | input parameters | Phys.Lett.B318:397-404, 1993 [Spires] |
BELLE (l tag) | 10.30 +/- 0.11 +/- 0.46 | input parameters | Phys.Lett.B547:181-192, 2002 [hep-ex/0208033] |
CLEO (e tag) | 10.23 +/- 0.08 +/- 0.22 | input parameters | Phys.Rev.D70:032003,2004 [hep-ex/0403053] |
BABAR (e tag) | 10.37 +/- 0.06 +/- 0.23 | input parameters | Phys.Rev.D69:111104, 2004 [hep-ex/0403030] |
BABAR (B_{reco} tag) | 10.03 +/- 0.19 +/- 0.33 | input parameters | Phys.Rev.D74:091105,2006 [hep-ex/0607111] |
BELLE (B_{reco} tag) | 10.28 +/- 0.18 +/- 0.24 | input parameters | Phys.Rev.D75:032001,2007 [hep-ex/0610012] |
Average | 10.23 +/- 0.15 | chi2/dof = 4.2/5 (CL = 0.52) | eps pdf gif |
In the |Vub| averages only independent measurements are considered. For the BaBar and Belle B-Reco analyses we had to choose one measurement since the three measurements quoted are strongly correlated. We have chosen the mX analysis.
No attempt is made to average values for |Vub| from the different models, but the results are presented independently per each scheme.
The procedure for performing the average is documented in arXiv:0704.3575.
The input files for the average are linked in the tables with the averages. To summarize briefly, all theoretical uncertainties are considered to be correlated, as are the uncertainties on the modeling of b -> clnu and b -> ulnu decays. Experimental uncertainties (particle identification, reconstruction efficiencies, etc.) are taken as correlated amongst measurements from the same experiment, but not correlated across experiments.
The errors in the tables are experimental (statistical and systematic) and external (theoretical and HQ parameter uncertainties). The average B lifetime used is 1.573 ps. Final state radiation is included in all the measurements.
Note: the input parameters used for the different models are not coming from the same experimental source.
The |Vub| values are obtained using the HQE input parameters mb(SF) and mupi2. Their central values, derived in the kinetic scheme, and using only b -> c l nu moments are taken from Phys.Rev.D73,073008(2006) [arXiv:hep-ph/0507253v3] and LP07 updates.
|Vub | (BLNP) | ||||
Experiment | Value [10-3] | Parameters | References | Remarks |
---|---|---|---|---|
CLEO (E_{e}) | 3.52 +/- 0.41 + 0.38 - 0.32 | input | Phys.Rev.Lett.88:231803,2002 [arXiv:hep-ex/0202019v1] | 2.1 < p < 2.6 |
BELLE sim. ann. (m_{X}, q^{2}) | 3.98 +/- 0.42 + 0.34 - 0.28 | input | Phys.Rev.Lett.92:101801,2004 [arXiv:hep-ex/0311048v2] | mX - Q2, tag with annealing method |
BELLE (E_{e}) | 4.36 +/- 0.41 + 0.36 - 0.30 | input | Phys.Lett.B621:28-40 (2005) (arXiv:hep-ex/0504046v2 | 1.9 < p < 2.6 |
BABAR (E_{e}) | 3.90 +/- 0.22 + 0.35 - 0.30 | input | Phys.Rev.D73:012006,2006 arXiv:hep-ex/0509040v2 | 2.0 < p < 2.6 |
BABAR (E_{e}, s^{max}_{h}) | 3.95 +/- 0.27 + 0.42 - 0.36 | input | Phys.Rev.Lett.95:111801,2005 , Erratum-ibid.97:019903,2006 [arXiv:hep-ex/0506036v3] | (Ee-q2) |
BELLE (m_{X}) | 3.66 +/- 0.24 + 0.29 - 0.24 | input | Phys.Rev.Lett.95:241801,2005 [arXiv:hep-ex/0505088v2] | mX, BRECO tag; other methods (mX-q2 and P+ not used). Cut on the hadronic mass at 1.7 GeV |
BABAR (m_{X}) | 3.73 +/- 0.18 + 0.33 - 0.28 | input | [arXiv:0708.3702v1] Accepted by PRL | mX, BRECO tag; other methods (mX-q2 and P+ not used). Cut on the hadronic mass at 1.55 GeV |
Average +/- exp + theory - theory | 3.98 +/- 0.14 + 0.32 - 0.27 | chi2/dof = 6.5/6 (CL = 0.37) | Plots: eps pdf gif | HQE parameter input from b to c l nu moments |
positive errors: +2.0stat +2.3exp +1.3b2c model +1.4b2u model +7.0HQE param +0.5SF func +0.7sub SF +3.6matching +1.3WA = +8.8tot
negative errors: -2.0stat -2.2exp -1.2b2c model -1.4b2u model -5.8HQE param -0.5SF func -0.7sub SF -3.3matching -1.3WA = -7.7tot
where the fractions correspond to the statistical error (stat), the experimental systematics (exp), the modeling, e.g. branching fractions for exclusive decays, of b -> c l nu and b -> u l nu decays (b2c model and b2u model, respectively), the HQE parameters mb and mupi2 (HQE param), the functional form of the SF (ie the variation from the exponential to the Gaussian form of the SF, SF func), the subleading shape functions (sub SF), the variation of the matching scales (matching), and the Weak Annihilation (WA). No uncertainty is assigned for possible duality violations. The quoted experimental error in the table above corresponds to the statistical, experimental systematic and the b -> c l nu and b -> u l nu modeling errors. The other uncertainties contribute to the theoretical error.
The |Vub| values are obtained using the HQE input parameter (from PDG07):
|Vub| (DGE) | ||||
Experiment | Value [10-3] | Parameters | References | Remarks |
---|---|---|---|---|
CLEO (E_{e}) | 3.85 +/- 0.45 + 0.28 - 0.27 | input | Phys.Rev.Lett.88:231803,2002 (hep-ex/0202019) | 2.1 < p < 2.6 |
BELLE sim. ann. (m_{X}, q^{2}) | 4.43 +/- 0.47 + 0.23 - 0.21 | input | Phys.Rev.Lett.92:101801,2004 (hep-ex/0311048) | mX - Q2, tag with annealing method |
BELLE (E_{e}) | 4.81 +/- 0.45 + 0.22 - 0.21 | input | Phys.Lett.B621:28-40 (2005) (hep-ex/0504046) | 1.9 < p < 2.6 |
BABAR (E_{e}) | 4.30 +/- 0.29 + 0.25 - 0.24 | input | Phys.Rev.D73:012006,2006 (hep-ex/0509040) | 2.0 < p < 2.6 |
BABAR (E_{e}, s^{max}_{h}) | 4.42 +/- 0.30 + 0.37 - 0.36 | input | Phys.Rev.Lett.95:241801,2005 (hep-ex/0506036 (version 3, June 2006)) | (Ee-q2) |
BELLE m_{X} | 4.29 +/- 0.28 + 0.27 - 0.24 | input | Phys.Rev.Lett.95:241801,2005 (hep-ex/0505088) | mX, BRECO tag; other methods (mX-q2 and P+ not used) |
BABAR m_{X} | 4.55 +/- 0.22 + 0.30 - 0.29 | input | [arXiv:0708.3702v1]. Accepted by PRL | mX, BRECO tag; other methods (mX-q2 and P+ not used) |
Average +/- exp + theory - theory | 4.47 +/- 0.16 + 0.25 - 0.26 | chi2/dof = 8.0/6 (CL = 0.24) | Plots: eps pdf gif | mb input from PDG07 average |
positive errors: +1.9stat +2.4exp +1.8b2c model +1.1b2u model +0.7alpha_s R_CUT +3.0mb R_CUT +3.0TOTAL SL WIDTH +1.9WA +3.2DGE theory =+6.8tot
negative errors: -1.9stat -2.3exp -1.7b2c model -1.1b2u model -0.8alpha_s R_CUT -3.3mb R_CUT -3.0TOTAL SL WIDTH -1.9WA -3.1DGE theory =-6.9tot
where the fractions correspond to the statistical error (stat), the experimental systematics (exp), the modeling, e.g. branching fractions for exclusive decays, of the b -> c l nu and b -> u l nu decays (b2c model and b2u model, respectively), the effect of the alphas uncertainty on R_CUT (alpha_s R_CUT), the effect of the uncertainty on mb on the prediction of the event fraction (mb R_CUT), the uncertainty on the total semileptonic B width (TOTAL SL WIDTH), the Weak Annihilation (WA) and from the change and variation of scale of the matching scheme (DGE theory). The quoted experimental error in the table above corresponds to the statistical, experimental systematic and the b -> c l and b -> u l nu modeling errors. The other uncertainties contribute to the theoretical error.
We use the input parameters obtained from the fit in the kinetic scheme to the b -> c l nu and b ->s g moments (see above):
|Vub| (GGOU) | ||||
Experiment | Value [10-3] | Parameters | References | Remarks |
---|---|---|---|---|
CLEO (E_{e}) | 3.70 +/- 0.43 + 0.25 - 0.39 | input | Phys.Rev.Lett.88:231803,2002 (hep-ex/0202019) | 2.1 < p < 2.6 |
BELLE sim. ann. (m_{X}, q^{2}) | 4.15 +/- 0.44 + 0.33 -0.34 | input | Phys.Rev.Lett.92:101801,2004 (hep-ex/0311048) | mX - Q2, tag with annealing method |
BELLE (E_{e}) | 4.55 +/- 0.42 + 0.22 - 0.31 | input | Phys.Lett.B621:28-40 (2005) (hep-ex/0504046) | 1.9 < p < 2.6 |
BABAR (E_{e}) | 4.07 +/- 0.23 + 0.23 - 0.33 | input | Phys.Rev.D73:012006,2006 (hep-ex/0509040) | 2.0 < p < 2.6 |
BELLE m_{X} | 3.89 +/- 0.26 + 0.19 - 0.22 | input | Phys.Rev.Lett.95:241801,2005 (hep-ex/0505088) | mX, BRECO tag; other methods (mX-q2 and P+ not used) |
BABAR m_{X} | 4.01 +/- 0.19 + 0.26 - 0.29 | input | [arXiv:0708.3702v1]. Accepted by PRL. | mX, BRECO tag; other methods (mX-q2 and P+ not used) |
Average +/- exp + theory - theory | 3.94 +/- 0.15 + 0.20 - 0.23 | chi2/dof = 5.0/5 (CL = 0.41) | Plots: eps pdf gif | mb input from PDG07 average |
positive errors: +2.1stat +2.2exp +1.5b2c model +1.4b2u model +3.9par. +1.8pert. +2.5q2* +0.WA +1.4ff =+6.3tot
negative errors: -2.3stat -2.2exp -1.2b2c model -1.6b2u model -3.8par. -1.7pert. -2.7q2* -3.1WA -0.6ff =-7.0tot
where the fractions correspond to the statistical error (stat), the experimental systematics (exp), the modeling, e.g. branching fractions for exclusive decays, of the b -> c l nu and b -> u l nu decays (b2c model and b2u model, respectively), the value of alpha_s, mb and other non-perturbative parameters (par.), higher order perturbative and non-perturbative corrections (pert.), the modelling of the q2 tail and choice of the scale q2* (q2*), the WA matrix element (WA), the functional form of the distribution functions (ff).
The |Vub| values are obtained using the HQE input parameter (from PDG07):
|Vub| (AC) | ||||
Experiment | Value [10-3] | Parameters | References | Remarks |
---|---|---|---|---|
CLEO (E_{e}) | 3.47 +/- 0.19 + 0.25 - 0.26 | input | Phys.Rev.Lett.88:231803,2002 (hep-ex/0202019) | 2.3 < p < 2.6, Vub redetermined from partial BF |
BELLE sim. ann. (m_{X}, q^{2}) | 3.93 +/- 0.38 + 0.25 - 0.26 | input | Phys.Rev.Lett.92:101801,2004 (hep-ex/0311048) | mX - Q2, tag with annealing method |
BELLE (E_{e}) | 3.18 +/- 0.18 + 0.23 - 0.24 | input | Phys.Lett.B621:28-40 (2005) (hep-ex/0504046) | 2.3 < p < 2.6 |
BABAR (E_{e}) | 3.44 +/- 0.12 + 0.25 - 0.26 | input | Phys.Rev.D73:012006,2006 (hep-ex/0509040) | 2.3 < p < 2.6, Vub redetermined from partial BF |
BABAR (E_{e}, s^{max}_{h}) | 3.87 +/- 0.27 + 0.25 - 0.26 | input | Phys.Rev.Lett.95:111801,2005 , Erratum-ibid.97:019903,2006 (hep-ex/0506036 (version 3, June 2006)) | (Ee-q2) |
BELLE m_{X} | 3.91 +/- 0.26 + 0.26 - 0.27 | input | Phys.Rev.Lett.95:241801,2005 (hep-ex/0505088) | mX, BRECO tag; other methods (mX-q2 and P not used) |
BABAR m_{X} | 4.01 +/- 0.21 + 0.27 - 0.28 | input | [hep-ex/0507017]. Accepted by PRL | mX, BRECO tag; other methods (mX-q2 |
Average +/- exp + theory - theory | 3.78 +/- 0.13 + 0.24 - 0.24 | chi2/dof = 8.9/6 (CL = 0.18) | Plots: eps pdf gif |
positive errors: +1.8stat +2.3exp +1.2b2c model +1.3b2u model +2.0alpha_s +1.4Vcb +1.0mb +4.5mc +0.9BF +3.5model =+7.2tot
negative errors: -1.9stat -2.3exp -1.3b2c model -1.4b2u model -2.0alpha_s -1.4Vcb -1.0mb -4.3mc -1.0BF -3.5model =-7.2tot
where the fractions correspond to the statistical error (stat), the experimental systematics (exp), the modeling, e.g. branching fractions for exclusive decays, of the b -> c l nu and b -> u l nu decays (b2c model and b2u model, respectively), the effect of the alphas uncertainty (alpha_s), the effect of the uncertainty on Vcb (Vcb), on the b-quark mass in the MS scheme (mb), on the c-quark mass in the MS scheme (mc), on the semileptonic BF (BF) and on the model (model). The quoted experimental error in the table above corresponds to the statistical, experimental systematic and the b -> c l and b -> u l nu modeling errors. The other uncertainties contribute to the theoretical error.
The |Vub| values are obtained using the b-quark mass from the 1S Global Fit
|Vub| (BLL) using the (mx-q2) analyses | ||||
Experiment | Value [10-3] | Parameters | References | Remarks |
---|---|---|---|---|
BELLE breco (m_{X}, q^{2}) | 5.01 +/- 0.39 + 0.37 - 0.37 | input | Phys.Rev.Lett.95:241801,2005 (hep-ex/0505088) | mX-q2, BRECO tag |
BELLE sim. ann. (m_{X}, q^{2}) | 4.71 +/- 0.50 + 0.35 - 0.35 | input | Phys.Rev.Lett.92:101801,2004 (hep-ex/0311048) | mX - Q2, tag with annealing method |
BABAR (m_{X}, q^{2}) | 4.92 +/- 0.32 + 0.36 - 0.36 | input | [arXiv:0708.3702v1]. Accepted by PRL. | mX-q2, BRECO tag |
Average +/- exp +/- theory | 4.91 +/- 0.24 + 0.38 - 0.38 | chi2/dof = 0.36/2 (CL = 0.83) | Plots: eps pdf gif | HQE parameter input from b to c l nu and b to s gamma moments |
positive errors: +3.2stat +3.8exp +1.3b2c model +2.1b2u model +3.0Strf +3.0Pert +4.5Sf +4.0H.O. = +9.0tot
negative errors: -3.2stat -3.8exp -1.3b2c model -2.1b2u model -3.0Strf -3.0Pert -4.5Sf -4.0H.O. = -9.0tot
where the fractions correspond to the statistical error (stat), the experimental systematics (exp), the modeling, e.g. branching fractions for exclusive decays, of b -> c l nu and b -> u l nu decays (b2c model and b2u model, respectively), the residual shape function effects (Strf), the higher order terms in the alphas expansion (Pert), the uncertainty on the b-quark mass (Sf), and the third order terms in the OPE expansion(H.O.). No uncertainty is assigned for possible duality violations.
Several years ago, M. Neubert (Phys. Rev. D49, 4623 (1994) ) suggested that |Vub| could be extracted by combining weighted integrals over the photon spectrum in B->Xs gamma decays with integrals over the lepton momentum spectrum near the kinematic endpoint in inclusive B->Xulnu decays decays. The underlying assumption is that the QCD interactions affecting these two processes are the same to leading order, and therefore ratios of decay rates for the two processes have significantly lower sensitivity to the choice of the shape-functions parameterization.
So far, there are two BABAR measurements based on this suggestion to extract |Vub| from charmless B-meson decays from inclusive distributions for different regions of phase space.
BABAR measured |Vub| in inclusive decays using the prescription of Leibovich, Low, and Rothstein (LLR), Phys.Rev.D62:014010,2000 [arXiv:hep-ph/0001028v2], and Phys.Lett.B486:86-91,2000 [arXiv:hep-ph/0005124v1], that extracts |Vub| with reduced model dependence by combining data of the hadronic mass spectrum from B->Xulnu decays with that of the photon energy spectrum from B->Xs gamma decays (Phys.Rev. D72 (2005) 052004 [arXiv:hep-ex/0508004v2]).
Using BABAR measurements of the lepton momentum spectrum near the kinematic endpoint, Phys.Rev. D73 (2006) 012006 [arXiv:hep-ex/0509040v2], two different theoretical prescriptions were tried to extract |Vub|, Phys.Rev.D76:114003,2007 [arXiv:hep-ph/0702072], namely LLR (Phys.Rev. D61 (2000) 053006 [arXiv:hep-ph/9909404v2]]) and LNP, a calculation by Lange, Neubert and Paz (JHEP 0510 (2005) 084 [arXiv:hep-ph/0508178v2] and JHEP 0601 (2006) 104 [arXiv:hep-ph/0511098v1]).
In the following, we provide a comparison of the results of the different |Vub| extractions.
The errors on |Vub| are experimental and theoretical, respectively, for the first three results and experimental on B->Xulnu, experimental on B->Xsgamma, theoretical and due to |Vts| for the last two measurments.
Description | Vub [10-3] | Reference |
---|---|---|
HFAG Ave. (BLNP) | 3.98 +/- 0.14 + 0.32 - 0.27 | |
HFAG Ave. (DGE) | 4.47 +/- 0.16 + 0.25 - 0.26 | |
HFAG Ave. (GGOU) | 3.94 +/- 0.15 + 0.20 - 0.23 | |
HFAG Ave. (ADFR) | 3.78 +/- 0.13 + 0.24 - 0.24 | |
HFAG Ave. (BLL) | 4.91 +/- 0.24 + 0.38 - 0.38 | |
BABAR (LLR) | 4.43 +/- 0.45 +/- 0.29 | Phys.Rev.Lett. 96 (2006) 221801 [arXiv:hep-ex/0601046v2] |
BABAR endpoint (LLR) | 4.28 +/- 0.29 +/- 0.29 +/- 0.26 +/- 0.28 | Phys.Rev.D76:114003,2007 [arXiv:hep-ph/0702072] |
BABAR endpoint (LNP) | 4.40 +/- 0.30 +/- 0.41 +/- 0.23 | Phys.Rev.D76:114003,2007 [arXiv:hep-ph/0702072] |
A plot of this table is available in three formats: eps pdf gif
Experiment / Mode | BF [10-4] | BF(q2<16 GeV2) [10-4] | BF(q2>16 GeV2) [10-4] | Reference |
---|---|---|---|---|
BABAR SL tag: B ^{+} \rightarrow \pi^{0} l^{+} \nu \times 2\tau_{0}/\tau_{+} | 1.37 +/- 0.34 +/- 0.15 | 1.18 +/- 0.30 +/- 0.12 | 0.19 +/- 0.23 +/- 0.08 | SL tag, Phys.Rev.Lett.97:211801,2006 [hep-ex/0607089] (input)(param) |
BABAR B_{reco} tag: B ^{+} \rightarrow \pi^{0} l^{+} \nu \times 2\tau_{0}/\tau_{+} | 1.54 +/- 0.41 +/- 0.21 | 1.05 +/- 0.36 +/- 0.15 | 0.49 +/- 0.23 +/- 0.11 | Breco tag, Phys.Rev.Lett.97:211801,2006 [hep-ex/0607089] (input)(param) |
BELLE SL tag: B ^{+} \rightarrow \pi^{0} l^{+} \nu \times 2\tau_{0}/\tau_{+} | 1.45 +/- 0.26 +/- 0.15 | 1.07 +/- 0.23 +/- 0.11 | 0.38 +/- 0.15 +/- 0.04 | SL tag, Phys.Lett.B648:139-148,2007 [hep-ex/0604024] (input)(param) |
BELLE B_{reco} tag: B ^{+} \rightarrow \pi^{0} l^{+} \nu \times 2\tau_{0}/\tau_{+} | 1.62 +/- 0.32 +/- 0.11 | NA | NA | Preliminary, Breco tag hep-ex/0610054 (input) |
BABAR SL tag: B ^{0} \rightarrow \pi^{-} l^{+} \nu | 1.12 +/- 0.25 +/- 0.10 | 0.83 +/- 0.22 +/- 0.08 | 0.29 +/- 0.15 +/- 0.04 | SL tag, Phys.Rev.Lett.97:211801,2006 [hep-ex/0607089] (input)(param) |
BELLE SL tag: B ^{0} \rightarrow \pi^{-} l^{+} \nu | 1.38 +/- 0.19 +/- 0.14 | 1.02 +/- 0.16 +/- 0.11 | 0.36 +/- 0.10 +/- 0.04 | SL tag, Phys.Lett.B648:139-148,2007 [hep-ex/0604024] (input)(param) |
BABAR B_{reco} tag: B ^{0} \rightarrow \pi^{-} l^{+} \nu | 1.07 +/- 0.27 +/- 0.15 | 0.42 +/- 0.18 +/- 0.05 | 0.65 +/- 0.20 +/- 0.13 | Breco tag, Phys.Rev.Lett.97:211801,2006 [hep-ex/0607089] (input)(param) |
CLEO untagged: B \rightarrow \pi l^{+} \nu | 1.37 +/- 0.15 +/- 0.11 | 0.96 +/- 0.13 +/- 0.10 | 0.41 +/- 0.08 +/- 0.04 | Untagged, Phys.Rev.Lett.99:041802,2007 [arXiv:hep-ex/0703041v2] (input)(param) |
BABAR untagged: B \rightarrow \pi l^{+} \nu | 1.46 +/- 0.07 +/- 0.08 | 0.96 +/- 0.13 +/- 0.10 | 0.38 +/- 0.04 +/- 0.03 | Untagged loose neutrino, Phys. Rev. Lett. 98, 091801 (2007) [hep-ex/0612020 ] (input)(param) |
BELLE B_{reco} tag: B ^{0} \rightarrow \pi^{-} l^{+} \nu | 1.49 +/- 0.26 +/- 0.06 | NA | NA | Preliminary, Breco tag hep-ex/0610054 (input) |
Average: B ^{0} \rightarrow \pi^{-} l^{+} \nu | 1.40 +/- 0.06 +/- 0.06 | 0.95 +/- 0.05 +/- 0.05 | 0.38 +/- 0.03 +/- 0.03 | Plots: epspdfgif chi2/dof = 3.0/9 (CL = 0.97) |
FF calculation | Vub [10-3] | q2 range | FF norm (ps-1) | Reference |
---|---|---|---|---|
Ball-Zwicky q^2 < 16 | 3.38 +/- 0.13 +0.56-0.37 | <16 GeV2 | 5.44 +/- 1.43 | Phys. Rev. D71:014015 (2005) [hep-ph/0406232] |
HPQCD q^2 > 16 | 3.47 +/- 0.20 +0.60-0.39 | >16 GeV2 | 2.07 +/- 0.57 | Phys.Rev.D73, 074502 (2006), Erratum-ibid.D75:119906,2007 [hep-lat/0601021] |
FNAL q^2 > 16 | 3.69 +/- 0.21 +0.64-0.42 | >16 GeV2 | 1.83 +/- 0.50 | Nucl.Phys.Proc.Suppl.140:461-463,2005 [hep-lat/0409116] |
APE q^2 > 16 | 3.72 +/- 0.21 +1.43-0.66 | >16 GeV2 | 1.80 +/- 0.86 | Nucl. Phys. B 619 (2000) 565-587 [hep-lat/0011065] |
A plot of this table is available in three formats: eps pdf gif
FF calculation | Vub [10-3] | q2 range | FF norm (ps-1) | Reference |
---|---|---|---|---|
Ball-Zwicky full q^2 | 3.41 +/- 0.11 +0.67-0.42 | full | 7.74 +/- 2.32 | Phys. Rev. D71:014015 (2005) [hep-ph/0406232] |
HPQCD full q^2 | 3.11 +/- 0.10 +0.73-0.43 | full | 9.10 +/- 3.13 | Phys.Rev.D73, 074502 (2006), Erratum-ibid.D75:119906,2007 [hep-lat/0601021] |
FNAL full q^2 | 3.80 +/- 0.12 +0.88-0.52 | full | 6.24 +/- 2.12 | Nucl.Phys.Proc.Suppl.140:461-463,2005 [hep-lat/0409116] |
APE full q^2 | 3.59 +/- 0.11 +1.11-0.57 | full | 7.0 +/- 2.9 | Nucl. Phys. B 619 (2000) 565-587 [hep-lat/0011065] |
A plot of this table is available in three formats: eps pdf gif
Experiment/Mode | BF [10-4] | Reference |
---|---|---|
CLEO: B^{0} \rightarrow \rho^{-} l^{+} \nu | 2.69 +/-0.41 +/- 0.63 | Phys. Rev. D 61, 052001 (2000) [hep-ex/9905056] (input) |
CLEO: B^{0} \rightarrow \rho^{-} l^{+} \nu | 2.93 +/-0.37 +/- 0.37 | PRL 99, 041802 (2007)[arXiv:hep-ex/0703041v2] (input) |
BABAR: B^{0} \rightarrow \rho^{-} l^{+} \nu | 2.14 +/-0.21 +/-0.55 | Untagged, Phys .Rev. D72, 051102 (2005) [hep-ex/0507003] (input) |
Average: B ^{0} \rightarrow \rho^{-} l^{+} \nu | 2.64 +/- 0.21 +/- 0.33 | Plots: eps pdf gif chi2/dof = 1.1/2 (CL = 0.58) |
Experiment | Mode | BF [10-4] | Reference |
---|---|---|---|
CLEO | B+-> eta l+ nu | 0.84 +/-0.31 +0.16 +/-0.09 | Phys. Rev. D 68, 072003 (2003) [hep-ex/0304019] |
BABAR | B+-> eta l+ nu | 0.84 +/-0.27 +/- 0.21 | Preliminary Breco [hep-ex/0607066] |
BABAR | B+-> eta' l+ nu | 0.33 +/-0.60 +/- 0.30 | Preliminary Breco [hep-ex/0607066] |
BELLE | B+-> omega l+ nu | 1.3 +/-0.4 +/-0.2 +/-0.3 | Phys. Rev. Lett. 93:131803 (2004)[hep-ex/0402023] |