|Vub| from inclusive semileptonic B decays

The results in this section are determined by comparing the measured partial branching fractions in selected regions of phase-space to theoretical calculations of the corresponding rates, which depends on |Vub|. The following theoretical calculations are used to extract |Vub|:

In the |Vub| averages only measurements for which the correlation is known are considered. They are either independent measurements or correlated measurements for which the correlation among the analyses is available (eg the BaBar B-Reco analyses). If the analyses are correlated but the correlation is not known, the analysis with the smallest error is considered.

No attempt is made to average values for |Vub| from the different theoretical models, but the results are presented independently per each scheme.

The procedure for performing the average is documented in [arXiv:0808.1297]

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. Statistical correlations are also taken into account, when available.

The errors in the tables are experimental (statistical and systematic) and external (theoretical and HQ parameter uncertainties). The average B lifetime used is 1.579 ps. Final state radiation is included in all the measurements.

The input parameters for the different modes are coming from the global fit in the kinetic scheme, translated to the scheme needed per each model. For consistency among all the measurements, we choose the results coming from the fits to the b->clnu moments, with a constraint on the charm quark mass.

Determination of |Vub| (BLNP)   

The |Vub| values are obtained using the HQE input parameter:

obtained from the global fit in the kinetic scheme. The first error is the statistical error of the fit, the second is due to the scheme translation. The latter has been taken from hep-ph/0412241.

|Vub | (BLNP)
Experiment Value [10-3] Parameters References Remarks
CLEO (Ee) 4.22 ± 0.49 + 0.29 - 0.34 input Phys.Rev.Lett.88:231803,2002
[arXiv:hep-ex/0202019v1]
2.1 < Ee < 2.6
BELLE sim. ann. (mX, q2) 4.51 ± 0.47 + 0.27 - 0.29 input Phys.Rev.Lett.92:101801,2004
[arXiv:hep-ex/0311048v2]
Cut on mX<1.7 GeV, q2>8GeV2
tag with annealing method
BELLE (Ee) 4.93 ± 0.46 + 0.26 - 0.29 input Phys.Lett.B621:28-40 (2005)
[arXiv:hep-ex/0504046v2]
1.9 < Ee < 2.6
BABAR (Ee) 4.52 ± 0.26 + 0.26 - 0.30 input Phys.Rev.D73:012006,2006
[arXiv:hep-ex/0509040v2]
2.0 < Ee < 2.6
BABAR (Ee, shmax) 4.71 ± 0.32 + 0.33 - 0.38 input Phys.Rev.Lett.95:111801,2005
[arXiv:hep-ex/0506036v3]
Ee > 2.0, shmax < 3.5
BELLE multivariate (p*) 4.50 ± 0.27 + 0.20 - 0.22 input Phys.Rev.Lett.104:021801,2010
[arXiv:0907.0379v1 [hep-ex]]
BRECO tag; multivariate analysis.
Cut on lepton energy at 1 GeV
BABAR (mX<1.55) 4.24 ± 0.19 + 0.25 - 0.25 input Phys.Rev. D86 (2012) 032004
[arXiv:1112.0702v2 [hep-ex]]
BRECO tag.
Cut on hadronic mass mX< 1.55 GeV
BABAR (mX<1.7) 4.03 ± 0.22 + 0.22 - 0.22 input Phys.Rev. D86 (2012) 032004
[arXiv:1112.0702v2 [hep-ex]]
BRECO tag.
Cut on hadronic mass mX<1.7 GeV
BABAR (mX<1.7, q2>8) 4.32 ± 0.23 + 0.26 - 0.28 input Phys.Rev. D86 (2012) 032004
[arXiv:1112.0702v2 [hep-ex]]
BRECO tag.
Cut at mX<1.7 GeV, q2>8 GeV2
BABAR (P+<0.66) 4.09 ± 0.25 + 0.25 - 0.25 input Phys.Rev. D86 (2012) 032004
[arXiv:1112.0702v2 [hep-ex]]
BRECO tag.
Cut at P+<0.66 GeV
BABAR (p*>1GeV) 4.33 ± 0.24 + 0.19 - 0.21 input Phys.Rev. D86 (2012) 032004
[arXiv:1112.0702v2 [hep-ex]]
BRECO tag.
Fit (mX, q2), cut at p*>1GeV
BABAR (p*>1.3GeV) 4.34 ± 0.27 + 0.20 - 0.21 input Phys.Rev. D86 (2012) 032004
[arXiv:1112.0702v2 [hep-ex]]
BRECO tag.
Fit p*, cut at p*>1.3GeV
Average ± exp + th. - th. 4.44 ± 0.15 + 0.21 - 0.22 χ2/dof = 10.5/11
(CL = 0.49)
Plots: eps pdf gif mb input from global fit in the kinetic scheme

The full breakdown of the uncertainties on the average |Vub| above is (all errors quoted in percent):

positive errors: +2.1stat +1.7exp +1.2b2c model +1.8b2u model +2.6HQE param +0.2SF func +0.6sub SF +0.0WA +3.8matching = +5.8tot

negative errors: -2.1stat -1.8exp -1.2b2c model -1.7b2u model -2.6HQE param -0.3SF func -0.7sub SF -1.4WA -3.7matching = -6.0tot

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 HQE parameters mb and μπ2 (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.

It should be noted that the above results and averages do not include NNLO corrections. A paper By Neubert and collaborators (arxiv:0909.1609 [hep-ph]) suggests that these have non-negligible impact on the determination of Vub. Unfortunately, the numerical implementation of those corrections is not in a form that would be immediately suitable for public use by HFAG. Moreover, those results only include the NNLO corrections to the leading term in the 1/m_b expansion for the shape-function region. They neglect "kinematic" power corrections that become less and less suppressed as the phase space cuts are less restrictive. Therefore, while this subset of NNLO corrections are presumably dominant and important for restrictive cuts like P+<0.66 GeV cut, this should not be the case for less restrictive cuts like p* > 1.0 GeV. Therefore, we continue using the NLO code and we remark that for restrictive cuts one may expect that the NNLO corrections induce order 5.8 % upward shifts in Vub.

Determination of |Vub| (DGE)

The |Vub| values are obtained using the HQE input parameter:

obtained from the global fit in the kinetic scheme

|Vub| (DGE)
Experiment Value [10-3] Parameters References Remarks
CLEO (Ee) 3.86 ± 0.45 + 0.25 - 0.27 input Phys.Rev.Lett.88:231803,2002
[arXiv:hep-ex/0202019v1]
2.1 < Ee < 2.6
BELLE sim. ann. (mX, q2) 4.43 ± 0.47 + 0.19 - 0.21 input Phys.Rev.Lett.92:101801,2004
[arXiv:hep-ex/0311048v2]
Cut on mX<1.7 GeV, q2>8GeV2
tag with annealing method
BELLE (Ee) 4.82 ± 0.45 + 0.23 - 0.23 input Phys.Lett.B621:28-40 (2005)
[arXiv:hep-ex/0504046v2]
1.9 < Ee < 2.6
BABAR (Ee) 4.30 ± 0.24 + 0.23 - 0.25
input Phys.Rev.D73:012006,2006
[arXiv:hep-ex/0509040v2]
2.0 < Ee < 2.6
BABAR (Ee, shmax) 4.35 ± 0.29 + 0.28 - 0.30 input Phys.Rev.Lett.95:111801,2005
[arXiv:hep-ex/0506036v3]
Ee > 2.0 shmax <3.5
BELLE multivariate (p*) 4.62 ± 0.28 + 0.13 - 0.13 input Phys.Rev.Lett.104:021801,2010
[arXiv:0907.0379v1 [hep-ex]]
BRECO tag; multivariate analysis.
Cut on lepton energy at 1 GeV
BABAR (mX<1.55) 4.47 ± 0.20 + 0.19 - 0.24 input Phys.Rev. D86 (2012) 032004
[arXiv:1112.0702v2 [hep-ex]]
BRECO tag.
Cut on hadronic mass mX< 1.55 GeV
BABAR (mX<1.7) 4.22 ± 0.23 + 0.21 - 0.27 input Phys.Rev. D86 (2012) 032004
[arXiv:1112.0702v2 [hep-ex]]
BRECO tag.
Cut on hadronic mass mX<1.7 GeV
BABAR (mX<1.7, q2>8) 4.24 ± 0.22 + 0.18 - 0.21 input Phys.Rev. D86 (2012) 032004
[arXiv:1112.0702v2 [hep-ex]]
BRECO tag.
Cut at mX<1.7 GeV, q2>8 GeV2
BABAR (P+<0.66) 4.17 ± 0.25 + 0.28 - 0.37 input Phys.Rev. D86 (2012) 032004
[arXiv:1112.0702v2 [hep-ex]]
BRECO tag.
Cut at P+<0.66 GeV
BABAR (mX, q2 fit, p*>1GeV) 4.45 ± 0.24 + 0.12 - 0.13 input Phys.Rev. D86 (2012) 032004
[arXiv:1112.0702v2 [hep-ex]]
BRECO tag.
Fit (mX, q2), cut at p*>1GeV
BABAR (p*>1.3GeV) 4.43 ± 0.27 + 0.13 - 0.13 input Phys.Rev. D86 (2012) 032004
[arXiv:1112.0702v2 [hep-ex]]
BRECO tag.
Fit p*, cut at p*>1.3GeV
Average ± exp + theory - theory 4.52 ±0.16 + 0.15 - 0.16 χ2/dof = 8.53/11
(CL = 0.67)
Plots: eps pdf gif mb input from global fit in the kinetic scheme

The full breakdown of the uncertainties on the average |Vub| above is (all errors quoted in percent):

positive errors: +1.9stat +1.7exp +1.3b2c model +2.1b2u model +0.5alpha_s R_CUT +3.2mb +0.0WA +0.5DGE theory =+4.8tot

negative errors: -1.9stat -1.7exp -1.3b2c model -1.7b2u model -0.5alpha_s R_CUT -2.9mb -1.8WA -0.4DGE theory =-4.8tot

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 and the total rate (mb), 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.

Determination of |Vub| (GGOU)

The |Vub| values are obtained using the HQE input parameters:

obtained from the global fit in the kinetic scheme

The BABAR (Ee, shmax) analysis is not included in the average, since the Ee, shmax cuts are not yet implemented in the model.

|Vub| (GGOU)
Experiment Value [10-3] Parameters References Remarks
CLEO (Ee) 4.23 ± 0.49 +0.22 -0.31 input Phys.Rev.Lett.88:231803,2002
[arXiv:hep-ex/0202019v1]
2.1 < Ee < 2.6
BELLE sim. ann. (mX, q2) 4.52 ± 0.48 +0.25 -0.28 input Phys.Rev.Lett.92:101801,2004
[arXiv:hep-ex/0311048v2]
Cut on mX<1.7 GeV, q2>8GeV2
tag with annealing method
BELLE (Ee) 4.95 ± 0.46 +0.16 -0.21 input Phys.Lett.B621:28-40 (2005)
[arXiv:hep-ex/0504046v2]
1.9 < Ee < 2.6
BABAR (Ee) 4.52 ± 0.26 +0.17 -0.24 input Phys.Rev.D73:012006,2006
[arXiv:hep-ex/0509040v2]
2.0 < Ee < 2.6
BELLE multivariate (p*) 4.62 ± 0.28 + 0.09 - 0.10 input Phys.Rev.Lett.104:021801,2010
[arXiv:0907.0379v1 [hep-ex]]
BRECO tag; multivariate analysis.
Cut on lepton energy at 1 GeV
BABAR (mX<1.55) 4.30 ± 0.20 + 0.20 - 0.21 input Phys.Rev. D86 (2012) 032004
[arXiv:1112.0702v2 [hep-ex]]
BRECO tag.
Cut on hadronic mass mX< 1.55 GeV
BABAR (mX<1.7) 4.10 ± 0.23 + 0.16 - 0.17 input Phys.Rev. D86 (2012) 032004
[arXiv:1112.0702v2 [hep-ex]]
BRECO tag.
Cut on hadronic mass mX<1.7 GeV
BABAR (mX<1.7, q2>8) 4.33 ± 0.23 + 0.24 - 0.27 input Phys.Rev. D86 (2012) 032004
[arXiv:1112.0702v2 [hep-ex]]
BRECO tag.
Cut at mX<1.7 GeV, q2>8 GeV2
BABAR (P+<0.66) 4.25 ± 0.26 + 0.26 - 0.27 input Phys.Rev. D86 (2012) 032004
[arXiv:1112.0702v2 [hep-ex]]
BRECO tag.
Cut at P+<0.66 GeV
BABAR (mX, q2 fit, p*>1GeV) 4.44 ± 0.24 + 0.09 - 0.10 input Phys.Rev. D86 (2012) 032004
[arXiv:1112.0702v2 [hep-ex]]
BRECO tag.
Fit (mX, q2), cut at p*>1GeV
BABAR (p*>1.3GeV) 4.43 ± 0.27 + 0.09 - 0.11 input Phys.Rev. D86 (2012) 032004
[arXiv:1112.0702v2 [hep-ex]]
BRECO tag.
Fit p*, cut at p*>1.3GeV
Average ± exp + theory - theory 4.52 ± 0.15 + 0.11 - 0.14 χ2/dof = 9.2/10
(CL=0.51)
Plots: eps pdf gif mb input from global fit in the kinetic scheme

The full breakdown of the uncertainties on the average |Vub| above is (all errors quoted in percent):

positive errors: +2.0stat +1.7exp +1.3b2c model +1.8b2u model +1.4par. +1.5pert. +1.2q2* +0.0WA +0.2ff =+4.2tot

negative errors: -2.0stat -1.7exp -1.3b2c model -1.8b2u model -1.4par. -1.5pert. -1.2q2* -1.9WA -0.2ff =-4.6tot

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).

Determination of |Vub| (ADFR)

The |Vub| values are obtained using the HQE input parameter:

obtained from the global fit in the kinetic scheme Also, the charm quark mass, to which the ADFR calculation is particularly sensitive, was fixed to the value quoted in arxiv:1102.2264 [hep-ph], mc (mc, MSbar) = 1.277 ± 0.026 GeV.

|Vub| (ADFR)
Experiment Value [10-3] Parameters References Remarks
CLEO (Ee) 3.42 ± 0.40 + 0.17 - 0.17 input Phys.Rev.Lett.88:231803,2002
[arXiv:hep-ex/0202019v1]
2.1 < Ee < 2.6
BELLE sim. ann. (mX, q2) 3.93 ± 0.41 + 0.18 - 0.17 input Phys.Rev.Lett.92:101801,2004
[arXiv:hep-ex/0311048v2]
Cut on mX<1.7 GeV, q2>8GeV2
tag with annealing method
BELLE (Ee) 4.48 ± 0.42 + 0.20 - 0.20 input Phys.Lett.B621:28-40 (2005)
[arXiv:hep-ex/0504046v2]
1.9 < Ee < 2.6
BABAR (Ee) 3.93 ± 0.22 + 0.20 - 0.20 input Phys.Rev.D73:012006,2006
[arXiv:hep-ex/0509040v2]
2.0 < Ee < 2.6
BABAR (Ee, shmax) 3.81 ± 0.19 + 0.19 - 0.18 input Phys.Rev.Lett.95:111801,2005
[arXiv:hep-ex/0506036v3]
Ee > 2, shmax < 3.5
BELLE multivariate (p*) 4.50 ± 0.30 + 0.20 - 0.20 input Phys.Rev.Lett.104:021801,2010
[arXiv:0907.0379v1 [hep-ex]]
BRECO tag; multivariate analysis.
Cut on lepton energy at 1 GeV
BABAR (mX<1.55) 3.83 ± 0.18 + 0.20 - 0.19 input Phys.Rev. D86 (2012) 032004
[arXiv:1112.0702v2 [hep-ex]]
BRECO tag.
Cut on hadronic mass mX< 1.55 GeV
BABAR (mX<1.7) 3.75 ± 0.21 + 0.18 - 0.18 input Phys.Rev. D86 (2012) 032004
[arXiv:1112.0702v2 [hep-ex]]
BRECO tag.
Cut on hadronic mass mX<1.7 GeV
BABAR (mX<1.7,q2>8) 3.75 ± 0.20 + 0.17 - 0.17 input Phys.Rev. D86 (2012) 032004
[arXiv:1112.0702v2 [hep-ex]]
BRECO tag.
Cut at mX<1.7 GeV, q2>8 GeV2
BABAR (P+<0.66) 3.57 ± 0.22 + 0.19 - 0.18 input Phys.Rev. D86 (2012) 032004
[arXiv:1112.0702v2 [hep-ex]]
BRECO tag.
Cut at P+<0.66 GeV
BABAR ((mX-q2) fit, p*>1) 4.33 ± 0.24 + 0.19 - 0.19 input Phys.Rev. D86 (2012) 032004
[arXiv:1112.0702v2 [hep-ex]]
BRECO tag.
Fit (mX, q2), cut at p*>1GeV
BABAR (p*>1.3) 4.28 ± 0.27 + 0.19 - 0.19 input Phys.Rev. D86 (2012) 032004
[arXiv:1112.0702v2 [hep-ex]]
BRECO tag.
Fit p*, cut at p*>1.3GeV
Average ± exp + theory - theory 4.08 ± 0.13 + 0.18 - 0.12 χ2/dof = 28.4/11
(CL = 0.003)
Plots: eps pdf gif
The full breakdown of the uncertainties on the average |Vub| above is (all errors quoted in percent):

positive errors: +1.9stat +1.7exp +1.3b2c model +1.3b2u model +1.1alpha_s +1.9Vcb +0.7mb +1.3mc +0.8BF +3.6model =+5.5tot

negative errors: -1.9stat -1.7exp -1.3b2c model -1.3b2u model -1.0alpha_s -1.9Vcb -0.7mb -1.3mc -0.7BF -3.6model =-5.5tot

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.

Determination of |Vub| (BLL) using the (mx-q2) analyses

The |Vub| values are obtained using the HQE input parameter:

obtained from a global fit in the 1S scheme

|Vub| (BLL) using the (mx-q2) analyses
Experiment Value [10-3] Parameters References Remarks
BELLE breco (mX, q2) 5.01 ± 0.39 ± 0.32 input Phys.Rev.Lett.95:241801,2005
[hep-ex/0505088]
mX-q2, BRECO tag
BELLE sim. ann. (mX, q2) 4.68 ± 0.49 ± 0.30 input Phys.Rev.Lett.92:101801,2004
[arXiv:hep-ex/0311048v2]
mX - Q2, tag with annealing method
BABAR (mX, q2) 4.50 ± 0.24 ± 0.29 input Phys.Rev. D86 (2012) 032004
[arXiv:1112.0702v2 [hep-ex]]
mX-q2, BRECO tag
Average ± exp ± theory 4.62 ± 0.20 ± 0.29 χ2/dof = 1.4/2
(CL = 0.50)
Plots: eps pdf gif HQE parameter input from b to c l nu and b to s gamma moments

The full breakdown of the uncertainties on the average |Vub| above is (all errors quoted in percent):

positive errors: +3.3stat +3.0exp +1.6b2c model +1.1b2u model +3.0Strf +3.0Pert +2.5Sf +4.0H.O. = +7.7tot

negative errors: -3.3stat -3.0exp -1.6b2c model -1.1b2u model -3.0Strf -3.0Pert -2.5Sf -4.0H.O. = -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 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.

Shape Function Model Independent extraction of |Vub| from inclusive decays and comparison of results

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) 4.44 ± 0.15 +0.21 - 0.22
HFAG Ave. (DGE) 4.52 ± 0.16+ 0.15 - 0.16
HFAG Ave. (GGOU) 4.52 ± 0.15 + 0.11 - 0.14
HFAG Ave. (ADFR) 4.08 ± 0.13 + 0.18 - 0.12

HFAG Ave. (BLL) 4.62 ± 0.20 + 0.29 - 0.29
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

Inclusive Branching Fraction: B --> Xulnu (P*lep > 1.0 GeV/c)

We report the average for the branching fractions of B --> Xulnu with P*lep > 1.0 GeV/c.
Experiment BF [10-3] Parameters Remarks
BELLE Tagged 1.96 +/- 0.17+/- 0.16 input     parameters Phys.Rev.Lett.104, 021801 (2010) [arXiv:0907.0379 [hep-ex]]
BABAR Tagged 1.80 +/- 0.13+/- 0.15 input     parameters Phys.Rev. D86 (2012) 032004 [arXiv:1112.0702v2 [hep-ex]]
Average 1.86 +/- 0.10 +/- 0.14 chi2/dof = 0.41/1 (CL = 52%) eps pdf gif