Experiment | |Vcb| F(1) (rescaled) [10-3] | r2 (rescaled) | Correlation (stat/syst/total) | Parameters | Remarks |
---|---|---|---|---|---|
ALEPH (excl) | 32.7 +/- 1.8 +/- 1.3 | 0.63 +/- 0.25 +/- 0.12 | 0.94/0.60/0.72 | input parameters | Phys.Lett.B395:373-,1997 |
CLEO | 41.7 +/- 1.3 +/- 1.8 |
1.44 +/- 0.09 +/- 0.21 |
0.87/0.68/0.67 |
input
parameters |
Phys.Rev.Lett.89:081803,2002 |
OPAL (excl) | 37.0 +/- 1.6 +/- 1.5 | 1.33 +/- 0.21 +/- 0.15 | 0.95/0.42/0.61 | input parameters | Phys.Lett.B482:15-,2000 |
OPAL (partial reco) | 37.7+/- 1.2 +/- 2.4 | 1.25 +/- 0.14 +/- 0.30 | 0.77/0.70/0.71 | input parameters | Phys.Lett.B482:15-,2000 |
DELPHI (partial reco) | 36.0 +/- 1.4 +/- 2.3 | 1.28 +/- 0.14 +/- 0.27 | 0.94/0.77/0.79 | input parameters | Phys.Lett.B510:55-,2001 |
BELLE (excl) | 34.5 +/- 1.9 +/- 1.7 | 1.26 +/- 0.16 +/- 0.11 | 0.91/0.68/0.78 | input parameters | Phys.Lett.B526:247-,2002 |
DELPHI (excl) | 36.8 +/- 1.8 +/- 1.9 | 1.13 +/-0.15 +/-0.16 | 0.89/0.50/0.58 | input parameters | Eur.Phys.J.C33:213,2004 |
BABAR (excl) | 34.3 +/- 0.3 +/- 1.1 | 1.18 +/-0.05 +/-0.03 | 0.27 | input parameters | Preliminary hep-ex/0607076 & Phys.Rev.D74:092004,2006 (supersedes Phys.Rev.D71:051502,2004) |
Average | 35.89 +/- 0.56 | 1.23 +/- 0.05 | 0.134 |
chi2/dof = 37.8/17 (CL = 0.026) | eps 1 pdf 1 gif 1 eps 2 pdf 2 gif 2 |
Experiment | BF (rescaled) [%] | Remarks |
---|---|---|
ALEPH (excl) | 5.77 +/- 0.27 +/- 0.35 | Phys.Lett.B395:373-387,1997 [Spires] |
OPAL (excl) | 5.15 +/- 0.20 +/- 0.37 | Exclusive reco, Phys.Lett.B482:15-30,2000 [hep-ex/0003013] |
CLEO | 6.17 +/- 0.27 +/- 0.39 | Phys.Rev.Lett.89:081803,2002 |
OPAL (partial reco) | 5.61+/- 0.28 +/- 0.58 | Partial reco, Phys.Lett.B482:15-30,2000 [hep-ex/0003013] |
DELPHI (partial reco) | 5.04 +/- 0.14 +/- 0.36 | Partial reco, Phys.Lett.B510:55-74,2001 [hep-ex/0104026] |
BELLE (excl) | 4.67 +/- 0.24 +/- 0.41 |
Phys.Lett.B526:247-257,2002 [hep-ex/0111060] |
DELPHI (excl) | 5.68 +/- 0.20 +/- 0.43 | Eur.Phys.J.C33:213,2004 [hep-ex/0401023] |
BABAR (excl) | 4.60 +/- 0.07 +/- 0.33 | Phys.Rev.D71:051502,2004 [hep-ex/0408027] |
Average | 5.11 +/- 0.12 | eps pdf gif |
Experiment | |Vcb| G(1) (rescaled) [10-3] | rho2 (rescaled) | Correlation (stat/syst/total) | Parameters | Remarks |
---|---|---|---|---|---|
ALEPH | 38.85+/- 11.80+/- 6.20 | 0.95+/- 0.98+/- 0.36 | 0.98/0.99/0.96 | input parameters | Phys.Lett.B395:373-,1997 |
CLEO | 44.77 +/- 5.90+/- 3.45 | 1.27+/- 0.25+/- 0.14 | 0.95/0.98/0.96 | input parameters | Phys.Rev.Lett.82:3746-,1999 |
BELLE | 41.11+/- 4.40 +/- 5.15 | 1.12+/- 0.22+/- 0.14 | 0.96/0.96/0.92 | input parameters | Phys.Lett.B526:258-268,2002 |
Average | 42.3+/- 4.5 | 1.17+/- 0.18 | 0.95/0.94/0.93 | chi2/dof = 0.26/4 | eps 1 pdf 1 gif 1 eps 2 pdf 2 gif 2 |
Experiment | BF (rescaled) [%] | Parameters | Remarks |
---|---|---|---|
ALEPH | 2.15 +/- 0.18+/- 0.37 | input parameters | Phys.Lett.B395:373-387,1997 [Spires] |
CLEO | 2.07+/- 0.13+/- 0.16 | input parameters | Phys.Rev.Lett.82:3746,1999 [hep-ex/9811042] |
BELLE | 2.13+/- 0.12+/- 0.39 | input parameters | Phys.Lett.B526:258-268,2002 [hep-ex/0111082] |
Average | 2.09+/- 0.18 | chi2/dof = 0.04/2 (CL = 0.99) | eps pdf gif |
Fits to the B->Xc l nu & B->Xs g moments and separately to the B->Xc l nu moments only are performed.
Results in the Kinetic scheme:Global Fit in the Kinetic Scheme | ||||
Moments | |Vcb| (10-3) | mb (GeV) | mc (GeV) | mupi2 (GeV2) |
---|---|---|---|---|
B->Xc l nu & B->Xs g | 41.91 +/- 0.19 +/- 0.28 +/- 0.59 | 4.613 +/- 0.022 +/- 0.027 | 1.187 +/- 0.033 +/- 0.040 | 0.408 +/- 0.017 +/- 0.031 |
B->Xc l nu | 41.68 +/- 0.39 +/- 0.58 | 4.677 +/- 0.053 | 1.285 +/- 0.078 | 0.387 +/- 0.039 |
References: | Phys.Rev. D73 (2006) 073008 [arXiv:hep-ph/0507253v3] and LP 2007 updates | |||
Plots: | (|Vcb|, mb): eps, pdf, gif | (mupi2, mb): eps, pdf, gif |
Global Fit in the 1S Scheme | ||||
Moments | |Vcb| (10-3) | mb1S (GeV) | lambda1 (GeV2) | |
---|---|---|---|---|
B->Xc l nu & B->Xs g | 41.78 +/- 0.30 +/- 0.08 | 4.701 +/- 0.030 | -0.313 +/- 0.025 | |
B->Xc l nu | 41.56 +/- 0.39 +/- 0.08 | 4.751 +/- 0.058 | -0.274 +/- 0.047 | |
Reference: | web page | |||
Plots: | (|Vcb|, mb): eps, pdf, gif | (mupi2, mb): eps, pdf,gif |
Experiment | BF (Rescaled) [%] | Input | Remarks |
---|---|---|---|
p(l) > 0.6 GeV/c | |||
ARGUS (e tag) | 9.17 +/- 0.50 +/- 0.33 | input parameters | Phys.Lett.B318:397-404, 1993 [Spires] |
BELLE (l tag) | 10.32 +/- 0.11 +/- 0.46 | input parameters | Phys.Lett.B547:181-192, 2002 [hep-ex/0208033] |
CLEO (e tag) | 10.24 +/- 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 | 10.24 +/- 0.15 | chi2/dof = 4.2/5 (CL = 0.52) | eps pdf gif |
Experiment | BF(B+->) (Rescaled) [%] | Input | Remarks |
---|---|---|---|
CLEO (l tag) | 10.25 +/- 0.57 +/- 0.66 | input parameters | Phys.Lett.B399:321,1997 [hep-ex/9702007] |
BABAR (B_{reco} tag) | 10.90 +/- 0.27 +/- 0.39 | input parameters | Phys.Rev.D74:091105,2006 [hep-ex/0607111] |
BELLE (B_{reco} tag) | 11.17 +/- 0.25 +/- 0.28 | input parameters | Phys.Rev.D75:032001,2007 [hep-ex/0610012] |
Average | 10.99 +/- 0.28 | chi2/dof = 0.97/2 (CL = 0.61) | eps pdf gif |
Experiment | BF(B0->) (Rescaled) [%] | Input | Remarks |
---|---|---|---|
CLEO (partial tag) | 9.9 +/- 3.0 +/- 0.9 | input parameters | Phys.Rev.D45:2212-2231,1992 [Spires] |
ARGUS (partial tag) | 9.3 +/- 1.1 +/- 1.5 | input parameters | Phys.Lett.B324:249-254,1994 [Spires] |
CLEO (partial tag) | 10.78 +/- 0.60 +/- 0.69 | input parameters | Phys.Lett.B399:321-328,1997 [hep-ex/9702007] |
BABAR (B_{reco} tag) | 10.14 +/- 0.28 +/- 0.33 | input parameters | Phys.Rev.D74:091105,2006 [hep-ex/0607111] |
BELLE (B_{reco} tag) | 10.46 +/- 0.30 +/- 0.23 | input parameters | Phys.Rev.D75:032001,2007 [hep-ex/0610012] |
Average | 10.33 +/- 0.28 | chi2/dof = 0.95/4 (CL = 0.92) | eps pdf gif |
Experiment | R_{+/0}(Rescaled) [%] | Input | Remarks |
---|---|---|---|
BABAR | 1.084 +/- 0.041 +/- 0.025 | input | Phys.Rev.D74:091105,2006 [hep-ex/0607111] |
BELLE | 1.069 +/- 0.040 +/- 0.026 | input | Phys.Rev.D75:032001,2007 [hep-ex/0610012] |
Average | 1.076 +/- 0.034 | chi2/dof = 0.05/1 (CL = 0.82) | eps pdf gif |
We perform the following |Vub| averages for:
No attempt is made to average values for |Vub| based on BLNP, DGE or BLL derived |V_ub|, 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 1.585 ps.
The |Vub| values are obtained using the HQE input parameters mb(SF) and mupi2.
Their central values, derived in the kinetic scheme, are taken from Phys.Rev.D73,073008(2006) [arXiv:hep-ph/0507253v3],
where they are translated to the Shape Function scheme used by BLNP. The uncertainties are increased to 0.06 GeV and 0.06 GeV2, respectively, according to M. Neubert's private communication, to take into account the uncertainty due to higher order corrections not accounted for in the partial rate predictions for B->Xulnu. The values of the HQE parameters used for the determination of |Vub| are then:
|Vub | (BLNP) | ||||
Experiment | Value [10-3] | Parameters | References | Remarks |
---|---|---|---|---|
CLEO (E_{e}) | 3.91 +/- 0.46 +/- 0.44 | input | Phys.Rev.Lett.88:231803,2002 [arXiv:hep-ex/0202019v1] | 2.1 < p < 2.6 |
BELLE sim. ann. (m_{X}, q^{2}) | 4.23 +/- 0.45 +/- 0.36 | input | Phys.Rev.Lett.92:101801,2004 [arXiv:hep-ex/0311048v2] | mX - Q2, tag with annealing method |
BELLE (E_{e}) | 4.67 +/- 0.43 +/- 0.38 | input | Phys.Lett.B621:28-40 (2005) (arXiv:hep-ex/0504046v2 | 1.9 < p < 2.6 |
BABAR (E_{e}) | 4.23 +/- 0.24 +/- 0.39 | input | Phys.Rev.D73:012006,2006 arXiv:hep-ex/0509040v2 | 2.0 < p < 2.6 |
BABAR (E_{e}, s^{max}_{h}) | 4.37 +/- 0.29 +/- 0.49 | input | Phys.Rev.Lett.95:111801,2005 , Erratum-ibid.97:019903,2006 [arXiv:hep-ex/0506036v3] | (Ee-q2) |
BELLE (m_{X}) | 3.92 +/- 0.26 +/- 0.32 | 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}) | 4.09 +/- 0.20 +/- 0.39 | input | [arXiv:0708.3702v1] | mX, BRECO tag; other methods (mX-q2 and P+ not used). Cut on the hadronic mass at 1.55 GeV |
Average +/- exp +/- (mb,theory) | 4.31 +/- 0.17 +/- 0.35 | chi2/dof = 6.1/6 (CL = 0.42) | Plots: eps pdf gif | HQE parameter input from b to c l nu and b to s gamma moments |
+-2.0stat +-2.6exp +-1.8b2c model +-1.1b2u model +-6.9HQE param +-1.0SF func +-0.9sub SF +-3.6matching +-1.7WA = +-8.9tot
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.
Averages of the endpoint, mxq2, mx, Pplus analyses are also presented in the corresponding links.
|Vub | (BLNP) | ||||
Experiment | Value [10-3] | Parameters | References | Remarks |
---|---|---|---|---|
CLEO (E_{e}) | 3.52 +/- 0.41 +/- 0.35 | input | Phys.Rev.Lett.88:231803,2002 [arXiv:hep-ex/0202019v1] | 2.1 < p < 2.6 |
BELLE sim. ann. (m_{X}, q^{2}) | 3.97 +/- 0.42 +/- 0.31 | input | Phys.Rev.Lett.92:101801,2004 [arXiv:hep-ex/0311048v2] | mX - Q2, tag with annealing method |
BELLE (E_{e}) | 4.35 +/- 0.40 +/- 0.33 | input | Phys.Lett.B621:28-40 (2005) (arXiv:hep-ex/0504046v2 | 1.9 < p < 2.6 |
BABAR (E_{e}) | 3.89 +/- 0.22 +/- 0.33 | input | Phys.Rev.D73:012006,2006 arXiv:hep-ex/0509040v2 | 2.0 < p < 2.6 |
BABAR (E_{e}, s^{max}_{h}) | 3.94 +/- 0.27 +/- 0.39 | 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 +/- 0.27 | 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}) | 3.74 +/- 0.18 +/- 0.31 | input | [arXiv:0708.3702v1] | mX, BRECO tag; other methods (mX-q2 and P+ not used). Cut on the hadronic mass at 1.55 GeV |
Average +/- exp +/- (mb,theory) | 3.98 +/- 0.15 +/- 0.30 | chi2/dof = 6.3/6 (CL = 0.39) | Plots: eps pdf gif | HQE parameter input from b to c l nu moments |
+-2.0stat +-2.5exp +-1.8b2c model +-1.1b2u model +-6.3HQE param +-0.4SF func +-0.7sub SF +-3.6matching +-1.4WA = +-8.3tot
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.
Using only the m_{X} analyses, the average is: 3.70+/-0.15+/-0.28 10-3.
The |Vub| values are obtained using the HQE input parameter (from PDG07):
|Vub| (DGE) | ||||
Experiment | Value [10-3] | Parameters | References | Remarks |
---|---|---|---|---|
CLEO (E_{e}) | 3.84 +/- 0.45 +/- 0.30 | input | Phys.Rev.Lett.88:231803,2002 (hep-ex/0202019) | 2.1 < p < 2.6 |
BELLE sim. ann. (m_{X}, q^{2}) | 4.42 +/- 0.47 +/- 0.26 | input | Phys.Rev.Lett.92:101801,2004 (hep-ex/0311048) | mX - Q2, tag with annealing method |
BELLE (E_{e}) | 4.79 +/- 0.45 +/- 0.26 | input | Phys.Lett.B621:28-40 (2005) (hep-ex/0504046) | 1.9 < p < 2.6 |
BABAR (E_{e}) | 4.29 +/- 0.29 +/- 0.28 | input | Phys.Rev.D73:012006,2006 (hep-ex/0509040) | 2.0 < p < 2.6 |
BABAR (E_{e}, s^{max}_{h}) | 4.42 +/- 0.30 +/- 0.38 | input | Phys.Rev.Lett.95:241801,2005 (hep-ex/0506036 (version 3, June 2006)) | (Ee-q2) |
BELLE m_{X} | 4.29 +/- 0.28 +/- 0.28 | input | Phys.Rev.Lett.95:241801,2005 (hep-ex/0505088) | mX, BRECO tag; other methods (mX-q2 and P+ not used) |
BABAR m_{X} | 4.56 +/- 0.22 +/- 0.32 | input | [arXiv:0708.3702v1] | mX, BRECO tag; other methods (mX-q2 and P+ not used) |
Average +/- exp +/- (mb,theory) | 4.34 +/- 0.16 +/- 0.25 | chi2/dof = 2.3/6 (CL = 0.89) | Plots: eps pdf gif | mb input from PDG07 average |
+-2.0stat +-2.4exp +-1.9b2c model +-1.0b2u model +-0.6alpha_s R_CUT +-3.2mb R_CUT +-3.0TOTAL SL WIDTH +-1.9WA +-3.1DGE theory
=+-6.8totwhere 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.
Averages of the endpoint, mxq2, mx, Pplus analyses are also presented in the corresponding links.
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 | input | Phys.Rev.Lett.95:241801,2005 (hep-ex/0505088) | mX-q2, BRECO tag |
BELLE sim. ann. (m_{X}, q^{2}) | 4.70 +/- 0.49 +/- 0.35 | input | Phys.Rev.Lett.92:101801,2004 (hep-ex/0311048) | mX - Q2, tag with annealing method |
BABAR (m_{X}, q^{2}) | 4.81 +/- 0.32 +/- 0.35 | input | [arXiv:0708.3702v1] | mX-q2, BRECO tag |
Average +/- exp +/- (mb,theory) | 4.83 +/- 0.24 +/- 0.37 | chi2/dof = 0.48/2 (CL = 0.79) | Plots: eps pdf gif | HQE parameter input from b to c l nu and b to s gamma moments |
+-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], three different theoretical prescriptions were tried to extract |Vub|, arXiv:hep-ph/0702072v1, namely LLR (Phys.Rev. D61 (2000) 053006 [arXiv:hep-ph/9909404v2]]), Neubert (Phys.Lett. B513 (2001) 88-92 [arXiv:hep-ph/0104280v3]) and more recent calculations 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 three measurments.
Description | Vub [10-3] | Reference |
---|---|---|
HFAG Ave. (BLNP) | 4.31 +/- 0.17 +/- 0.35 | |
HFAG Ave. (DGE) | 4.34 +/- 0.16 +/- 0.25 | |
HFAG Ave. (BLL) | 4.83 +/- 0.24 +/- 0.37 | |
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 | arXiv:hep-ph/0702072v1 |
BABAR endpoint (Neubert) | 4.01 +/- 0.27 +/- 0.29 +/- 0.32 +/- 0.27 | arXiv:hep-ph/0702072v1 |
BABAR endpoint (LNP) | 4.40 +/- 0.30 +/- 0.41 +/- 0.23 | arXiv:hep-ph/0702072v1 |
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_{+} | 1.36 +/- 0.33 +/- 0.15 | 1.17 +/- 0.30 +/- 0.11 | 0.19 +/- 0.22 +/- 0.07 | SL tag, Phys.Rev.Lett.97:211801,2006 [hep-ex/0607089] (input) |
BABAR B_{reco} tag: B ^{+} \rightarrow \pi^{0} l^{+} \nu \times 2\tau_{0}/\tau_{+} | 1.52 +/- 0.41 +/- 0.20 | 1.04 +/- 0.35 +/- 0.15 | 0.48 +/- 0.22 +/- 0.11 | Breco tag, Phys.Rev.Lett.97:211801,2006 [hep-ex/0607089] (input) |
BELLE SL tag: B ^{+} \rightarrow \pi^{0} l^{+} \nu \times 2\tau_{0}/\tau_{+} | 1.43 +/- 0.26 +/- 0.16 | 1.06 +/- 0.22 +/- 0.11 | 0.37 +/- 0.15 +/- 0.04 | SL tag, Phys.Lett.B648:139-148,2007 [hep-ex/0604024] (input) |
BELLE B_{reco} tag: B ^{+} \rightarrow \pi^{0} l^{+} \nu \times 2\tau_{0}/\tau_{+} | 1.60 +/- 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) |
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) |
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) |
CLEO untagged: B \rightarrow \pi l^{+} \nu | 1.33 +/- 0.18 +/- 0.11 | 1.08 +/- 0.16 +/- 0.10 | 0.25 +/- 0.09 +/- 0.05 | Untagged, Phys. Rev. D 68, 072003 (2003) [hep-ex/0304019] (input) |
BABAR untagged: B \rightarrow \pi l^{+} \nu | 1.46 +/- 0.07 +/- 0.08 | 1.09 +/- 0.06 +/- 0.07 | 0.38 +/- 0.04 +/- 0.03 | Untagged loose neutrino, Phys. Rev. Lett. 98, 091801 (2007) [hep-ex/0612020 ] (input) |
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 | 1.39 +/- 0.06 +/- 0.06 | 0.97 +/- 0.05 +/- 0.05 | 0.35 +/- 0.03 +/- 0.03 | Plots: eps pdf gif chi2/dof = 3.23/9 (CL = 0.95) |
The partial BF quoted above along with theoretical calculations of the form factor normalization can be used to determine |Vub|; a few recent calculations are shown below. Note that the FNAL04 and HPQCD unquenched LQCD calculations are not entirely independent, and we do not use their quenched results as they are superseded by their unquenched results. We also use the quenched LQCD result of the APE collaboration. The Ball-Zwicky calculation is based on light-cone sum rules. At this time we do not attempt to average the |Vub| results or select a best value. We divide the results into two tables: the first table lists extractions of |Vub| in q2 regions where the theory formulation is applicable and the second lists results where these same formulations have relied on a model to extrapolate to the uncovered q2 region.
The errors on |Vub| are experimental and theoretical, respectively.
FF calculation | Vub [10-3] | q2 range | FF norm (ps-1) | Reference |
---|---|---|---|---|
Ball-Zwicky q^2 < 16 | 3.41 +/- 0.13 +0.56-0.38 | <16 GeV2 | 5.44 +/- 1.43 | Phys. Rev. D71:014015 (2005) [hep-ph/0406232] |
HPQCD q^2 > 16 | 3.33 +/- 0.21 +0.58-0.38 | >16 GeV2 | 2.07 +/- 0.57 | Phys.Rev.D73, 074502 (2006), Erratum-ibid.D75:119906,2007 [hep-lat/0601021] |
FNAL q^2 > 16 | 3.55 +/- 0.22 +0.61-0.40 | >16 GeV2 | 1.83 +/- 0.50 | Nucl.Phys.Proc.Suppl.140:461-463,2005 [hep-lat/0409116] |
APE q^2 > 16 | 3.58 +/- 0.22 +1.37-0.63 | >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 | 3.43 +/- 0.10 +0.67-0.42 | full | 7.74 +/- 2.32 | Phys. Rev. D71:014015 (2005) [hep-ph/0406232] |
HPQCD full q^2 | 3.17 +/- 0.10 +0.74-0.44 | full | 9.10 +/- 3.13 | Phys.Rev.D73, 074502 (2006), Erratum-ibid.D75:119906,2007 [hep-lat/0601021] |
FNAL full q^2 | 3.82 +/- 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 | 3.61 +/- 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 +/- 0.65 | Phys. Rev. D 61, 052001 (2000) [hep-ex/9905056] (input) |
CLEO: B^{0} \rightarrow \rho^{-} l^{+} \nu | 2.17 +/-0.34 +/- 0.63 | Phys. Rev. D 68, 072003 (2003)[hep-ex/0304019] (input) |
BABAR: B^{0} \rightarrow \rho^{-} l^{+} \nu | 2.14 +/-0.21 +/-0.56 | Untagged, Phys .Rev. D72, 051102 (2005) [hep-ex/0507003] (input) |
BELLE: B^{0} \rightarrow \rho^{-} l^{+} \nu | 2.17 +/-0.54 +/-0.32 | SL tag, Phys.Lett.B648:139-148,2007 [hep-ex/0604024] (input) |
BELLE: B^{+} \rightarrow \rho^{0} l^{+} \nu\times 2\tau_{0}/\tau_{+} | 2.47 +/-0.43 +/-0.33 | SL tag, Phys.Lett.B648:139-148,2007 [hep-ex/0604024] (input) |
Average: B ^{0} \rightarrow \rho^{-} l^{+} \nu | 2.38 +/- 0.20 +/- 0.32 | Plots: eps pdf gif chi2/dof = 0.96/4 (CL = 0.92) |
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] |