Experiment | BF (rescaled) [%] | Parameters | Remarks |
---|---|---|---|
ALEPH | 2.28 +/- 0.20+/- 0.41 | input parameters | Phys.Lett.B395:373-,1997 |
CLEO | 2.11+/- 0.13+/- 0.17 | input parameters | Phys.Rev.Lett.82:3746-,1999 |
BELLE | 2.12+/- 0.12+/- 0.39 | input parameters | Phys.Lett.B526:258-268,2002 |
Average | 2.12+/- 0.20 | chi2/dof = 0.14/2 (CL = 0.93) | eps pdf |
Experiment | BF (rescaled) [%] | Parameters | Remarks |
---|---|---|---|
ALEPH | 5.77 +/- 0.26 +/- 0.36 | input parameters | Phys.Lett.B395:373-,1997 |
OPAL (excl) | 5.51 +/- 0.19 +/- 0.39 | input parameters | Phys.Lett.B482:15-,2000, exclusive reco. |
OPAL (partial reco) | 6.20 +/- 0.27 +/- 0.58 | input parameters | Phys.Lett.B482:15-,2000, partial reco. |
DELPHI (partial reco) | 5.04 +/- 0.13 +/- 0.36 | input parameters | Phys.Lett.B510:55-,2001, partial reco. |
CLEO | 6.29 +/- 0.19 +/- 0.39 | input parameters | Phys.Rev.Lett.89:081803,2002 |
BELLE | 4.74 +/- 0.23 +/- 0.42 | input parameters | Phys.Lett.B526:247-,2002 |
BABAR | 4.89 +/- 0.07 +/- 0.34 | input parameters | Phys.Rev.D71:051502,2004 |
DELPHI (exclu) | 5.80 +/- 0.22 +/- 0.46 | input parameters | Eur.Phys.J.C33:213,2004 |
Average | 5.35 +/- 0.20 | chi2/dof = 14.8/7 (CL = 0.038) | eps pdf |
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-, 1993 |
BELLE (l tag) | 10.32 +/- 0.11 +/- 0.46 | input parameters | Phys.Lett.B547:181-, 2002 |
BABAR (e tag) | 10.37 +/- 0.06 +/- 0.23 | input parameters | Phys.Rev.D69:111104, 2004 |
CLEO (e tag) | 10.24 +/- 0.08 +/- 0.22 | input parameters | Phys.Rev.D70:032003,2004 |
BELLE (breco) | 10.35 +/- 0.20 +/- 0.37 | input parameters | Phys.Lett.B614:27-,2005 |
Average | 10.27 +/- 0.17 | chi2/dof = 3.9/4 (CL = 0.42) | eps pdf |
Experiment | BF(B0 -> X-l+nu)[%] | Remarks |
---|---|---|
CLEO | 10.78 +/- 0.60 +/- 0.69 | Phys.Lett.B399:321,1997 |
ARGUS | 9.3 +/- 1.1 +/- 1.5 | Phys.Lett.B324:249,1994 |
CLEO | 9.9 +/- 3.0 +/- 0.9 | Phys.Rev.D45:2212,1992 |
BELLE (breco) | 10.32 +/- 0.36 +/- 0.35 | Phys.Lett.B614:27-,2005 |
BABAR (breco) | 10.4 +/- 0.8 +/- 0.5 | Preliminary (hep-ex/0204001) |
Experiment | BF(B+ -> Xl+nu)[%] | Remarks |
---|---|---|
CLEO | 10.25 +/- 0.57 +/- 0.65 | Phys.Lett.B399:321,1997 |
BELLE (breco) | 11.15 +/- 0.26 +/- 0.41 | Phys.Lett.B614:27-,2005 |
BABAR (breco) | 10.3 +/- 0.6 +/- 0.5 | Preliminary (hep-ex/0204001) |
Our average currently relies on the form factor ratios R_1=(1.18+/-0.30+/-0.12) and R_2=(0.71+/-0.22+/-0.07) as measured by the CLEO collaboration (Phys. Rev. Lett. 76, 3898 (1996)). The BABAR collaboration has reported measurements R_1=(1.396+/-0.060+/-0.035+/-0.027) and R_2=(0.885+/-0.040+/-0.022+/-0.013) (hep-ex/0602023: submitted to PRD). Studies are underway to incorporate this result into our average.
This table and the plots in the last row document the two-dimensional simultaneous fit to |Vcb|*F(1) and rho2. Note: The fit is two-dimensional and systematics limited, no confidence level is given at the moment.
Experiment | |Vcb| F(1) (rescaled) [10-3] | rho2 (rescaled) | Correlation (stat/syst/total) | Parameters | Remarks |
---|---|---|---|---|---|
ALEPH | 33.7 +/- 2.1 +/- 1.6 | 0.75 +/- 0.25 +/- 0.37 | 0.94/0.60/0.72 | input parameters | Phys.Lett.B395:373-,1997 |
OPAL (partial reco) | 38.6 +/- 1.2 +/- 2.4 | 1.25 +/- 0.14 +/- 0.39 | 0.77/0.70/0.71 | input parameters | Phys.Lett.B482:15-,2000 |
OPAL (excl) | 39.3 +/- 1.6 +/- 1.8 | 1.49 +/- 0.21 +/- 0.26 | 0.95/0.42/0.61 | input parameters | Phys.Lett.B482:15-,2000 |
DELPHI (partial reco) | 37.0 +/- 1.4 +/- 2.5 | 1.50 +/- 0.14 +/- 0.37 | 0.94/0.77/0.79 | input parameters | Phys.Lett.B510:55-,2001 |
BELLE | 36.0 +/-1.9 +/- 1.8 | 1.45 +/- 0.16 +/- 0.20 | 0.91/0.68/0.78 | input parameters | Phys.Lett.B526:247-,2002 |
CLEO | 43.8 +/- 1.3 +/- 1.8 | 1.61 +/- 0.09 +/- 0.21 | 0.87/0.62/0.67 | input parameters | Phys.Rev.Lett.89:081803,2002 |
BABAR | 35.5 +/- 0.3 +/- 1.6 | 1.29 +/- 0.03 +/- 0.27 | 0.56/0.73/0.72 | input parameters | Phys.Rev.D71:051502,2004 |
DELPHI (exclu) | 38.9 +/- 1.8 +/- 2.1 | 1.32 +/- 0.15 +/- 0.33 | 0.89/0.50/0.58 | input parameters | Eur.Phys.J.C33:213,2004 |
Average | 37.6 +/- 0.8 | 1.58 +/- 0.14 | 0.73/0.58/0.59 | chi2/dof = 30.2/14 | eps 1 pdf 1 eps 2 pdf 2 |
Experiment | |Vcb| G(1) (rescaled) [10-3] | rho2 (rescaled) | Correlation (stat/syst/total) | Parameters | Remarks |
---|---|---|---|---|---|
ALEPH | 39.76+/- 10.00+/- 6.43 | 1.00+/- 0.98+/- 0.37 | 0.98/0.99/0.96 | input parameters | Phys.Lett.B395:373-,1997 |
CLEO | 45.12 +/- 5.80+/- 3.51 | 1.27+/- 0.25+/- 0.14 | 0.95/0.98/0.96 | input parameters | Phys.Rev.Lett.82:3746-,1999 |
BELLE | 40.99+/- 4.40 +/- 5.10 | 1.12+/- 0.22+/- 0.14 | 0.96/0.96/0.92 | input parameters | Phys.Lett.B526:258-268,2002 |
Average | 42.6+/- 4.5 | 1.17+/- 0.18 | 0.95/0.95/0.93 | chi2/dof = 0.3/4 | eps 1 pdf 1 eps 2 pdf 2 |
The latter, DGE, which stands for Dressed Gluon Exponentiation and
is a recent new addition to the phenomenology landscape of
inclusive B-meson decays, requires an introduction.
In this framework the on-shell b-quark calculation,
converted into hadronic variables, can be directly used as an
approximation
to the meson decay spectrum, without need of a leading-power
non-perturbative function
i.e no shape function. The on-shell mass of the b-quark within the
B-meson
is required as an input (m_b). Theoretical uncertainties are assessed
by varying the
inputs of: m_b, and the strong coupling constant (alpha_s), the number
of light fermion
flavours (NF), and the method and scale of the matching scheme
intrinsic to
the approach.
We perform a total of four averages for inclusive V_ub
No attempt is made to average BLNP and DGE derived |Vub|.
The procedure for performing the average is documented in a brief note on averaging.
The input files for the average are linked below. 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 set of results averaged have negligeable statistical correlations.
The errors in the tables are experimental (statistical and systematic) and external (theoretical and HQ parameter uncertainties). The average B lifetime used was 1.584 ps.
The following values, calculated within the BLNP framework, use HQ
parameter input from a global fit (Phys.Rev.D73,073008(2006)) to
both b -> c l nu and b -> s g moments in the Kinetic Scheme (Eur. Phys. J C 34 (2004) 181)
, which gives parameters, translated into the Shape Function scheme
(SF),
BLNP Vub (B->Xc l nu & B->Xs g moments) | ||||
Experiment | Value [10-3] | Parameters | References | Remarks |
---|---|---|---|---|
CLEO (endpoint) | 4.09 +/- 0.48 +/- 0.36 | input | Phys.Rev.Lett.88:231803,2002 (hep-ex/0202019) | 2.1 < p < 2.6, Vub redetermined from partial BF |
BELLE (endpoint) | 4.82 +/- 0.45 +/- 0.30 | input | Phys.Lett.B621:28-40 (2005) (hep-ex/0504046) | 1.9 < p < 2.6 |
BABAR (endpoint) | 4.41 +/- 0.29 +/- 0.31 | input | Phys.Rev.D73:012006,2006 (hep-ex/0509040) | 2.0 < p < 2.6, Vub redetermined from partial BF |
BABAR (E_{e}, q^{2}) | 4.10 +/- 0.27 +/- 0.36 | input | Phys.Rev.Lett.95:111801,2005 (hep-ex/0506036) | (Ee-q2) |
BELLE m_{X} | 4.06 +/- 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) |
BELLE sim. ann. (m_{X}, q^{2}) | 4.37 +/- 0.46 +/- 0.29 | input | Phys.Rev.Lett.92:101801,2004 (hep-ex/0311048) | mX - Q2, tag with annealing method |
BABAR (m_{X}, q^{2}) | 4.75 +/- 0.35 +/- 0.32 | input | preliminary (hep-ex/0507017) | mX-q2, BRECO tag |
Average +/- exp +/- (mb,theory) | 4.45 +/- 0.20 +/- 0.26 | chi2/dof = 5.5/6 (CL = 0.49) | Plots: eps pdf | HQ parameter input from b to c l nu and b to s gamma moments |
+-2.2stat +-2.7exp +-1.9b2c model +-2.1b2u model +-4.1HQ param +-3.8sub SF +-1.9WA = +-7.4tot
where the errors correspond to statistics, experimental systematics, the modeling of b -> c l nu and b -> u l nu decays, the HQ parameters mb and mupi2, subleading shape functions and Weak Annihilation. No uncertainty is assigned for possible duality violations.
Using the average |Vub| along with the calculated full b -> u l nu rate from BLNP \(70.8/ps-1/|Vub|2) results in a total BF
BF(b -> u l nu) = (2.22 +- 0.33)*10-3
The following values, calculated within the DGE framework, use HQ parameter input from a global fit (Phys.Rev.D73,073008(2006)) to both b -> c l nu and b -> s g moments in the Kinetic Scheme (Eur. Phys. J C 34 (2004) 181) , which the b-quark mass, translated into the modified minimal subtraction scheme
DGE Vub (B->Xc l nu & B->Xs g moments) | ||||
Experiment | Value [10-3] | Parameters | References | Remarks |
---|---|---|---|---|
CLEO (endpoint) | 3.85 +/- 0.45 +/- 0.22 | input | Phys.Rev.Lett.88:231803,2002 (hep-ex/0202019) | 2.1 < p < 2.6, Vub redetermined from partial BF |
BELLE (endpoint) | 4.80 +/- 0.45 +/- 0.20 | input | Phys.Lett.B621:28-40 (2005) (hep-ex/0504046) | 1.9 < p < 2.6 |
BABAR (endpoint) | 4.29 +/- 0.29 +/- 0.21 | input | PRD 73, 012006 (2006) (hep-ex/0509040) | 2.0 < p < 2.6, Vub redetermined from partial BF |
BABAR (E_{e}, q^{2}) | 3.96 +/- 0.26 +/- 0.22 | input | Phys.Rev.Lett.95:111801,2005 (hep-ex/0506036) | (Ee-q2) |
BELLE m_{X} | 4.30 +/- 0.29 +/- 0.22 | input | Phys.Rev.Lett.95:241801,2005 (hep-ex/0505088) | mX, BRECO tag; other methods (mX-q2 and P not used) |
BELLE sim. ann. (m_{X}, q^{2}) | 4.42 +/- 0.47 +/- 0.19 | input | Phys.Rev.Lett.92:101801,2004 (hep-ex/0311048) | mX - Q2, tag with annealing method |
BABAR (m_{X}, q^{2}) | 4.80 +/- 0.35 +/- 0.21 | input | preliminary (hep-ex/0507017) | mX-q2, BRECO tag |
Average +/- exp +/- (mb,theory) | 4.41 +/- 0.20 +/- 0.20 | chi2/dof = 11.9/6 (CL = 0.063) | Plots: eps pdf | m_b input from b to c l nu and b to s gamma moments |
+-1.8stat +-2.5exp +-2.3b2c model +-2.3b2u model +-1.3mb (R_CUT) +-1.0alpha_s (R_CUT) +-3.0 (TOTAL SL WIDTH) +-2.9DGE theory
=+-6.3totwhere the errors correspond to statistics, experimental systematics,
the
modeling of b -> c l nu and b -> u l nu decays, effect of
uncertainty on mb
on the prediction of the event fraction (R_CUT),
effect of alpha_s uncertainty on R_CUT, uncertainty on total
semileptonic B width, and from the change
and variation of scale of the matching scheme (DGE theory).
Using the average |Vub| along with the calculated full b -> u l nu rate from DGE \(66.5/ps-1/|Vub|2) results in a total BF
BF(b -> u l nu) = (2.12 +- 0.31)*10-3
The following values, calculated within the DGE framework, use b-quark mass input from a fit to the lowest energy moments of the Egamma spectrum in b -> s gamma as measured CLEO, Belle and Babar. The fit yields
The details of the fit are here.
BLNP Vub (B->Xs g moments) | ||||
Experiment | Value [10-3] | Parameters | References | Remarks |
---|---|---|---|---|
CLEO (endpoint) | 4.37 +/- 0.51 +/- 0.47 | input | Phys.Rev.Lett.88:231803,2002 (hep-ex/0202019) | 2.1 < p < 2.6, Vub redetermined from partial BF |
BELLE (endpoint) | 5.10 +/- 0.47 +/- 0.43 | input | Phys.Lett.B621:28-40 (2005) (hep-ex/0504046) | 1.9 < p < 2.6 |
BABAR (endpoint) | 4.69 +/- 0.31 +/- 0.43 | input | Phys.Rev.D73:012006,2006 (hep-ex/0509040) | 2.0 < p < 2.6, Vub redetermined from partial BF |
BABAR (E_{e}, q^{2}) | 4.38 +/- 0.29 +/- 0.51 | input | Phys.Rev.Lett.95:111801,2005 (hep-ex/0506036) | (Ee-q2) |
BELLE m_{X} | 4.34 +/- 0.29 +/- 0.38 | input | Phys.Rev.Lett.95:241801,2005 (hep-ex/0505088) | mX, BRECO tag; other methods (mX-q2 and P not used) |
BELLE sim. ann. (m_{X}, q^{2}) | 4.65 +/- 0.49 +/- 0.42 | input | Phys.Rev.Lett.92:101801,2004 (hep-ex/0311048) | mX - Q2, tag with annealing method |
BABAR (m_{X}, q^{2}) | 5.06 +/- 0.37 +/- 0.46 | input | preliminary (hep-ex/0507017) | mX-q2, BRECO tag |
Average +/- exp +/- (mb,theory) | 4.75 +/- 0.22 +/- 0.39 | chi2/dof = 4.8/6 (CL = 0.57) | Plots: eps pdf | HQ parameter input from b to s gamma moments fitted in the Shape Function scheme |
+-2.1stat +-2.8exp +-2.2b2c model +-2.1b2u model +-7.1HQ param +-3.8sub SF +-2.2WA = +-9.5tot
where the errors correspond to statistics, experimental systematics, the modeling of b -> c l nu and b -> u l nu decays, the HQ parameters mb and mupi2, subleading shape functions and Weak Annihilation. No uncertainty is assigned for possible duality violations.
Using the average |Vub| along with the calculated full b -> u l nu rate from BLNP \(70.8/ps-1/|Vub|2) results in a total BF
BF(b -> u l nu) = (2.54 +- 0.48)*10-3
The following values, calculated within the DGE framework, use b-quark mass input from a fit to the lowest energy moments of the Egamma spectrum in b -> s gamma as measured CLEO, Belle and Babar. The fit yields
The details of the fit are here.
DGE Vub (B->Xs
g moments) |
||||
Experiment | Value [10-3] | Parameters | References | Remarks |
---|---|---|---|---|
CLEO (endpoint) | 3.93 +/- 0.46 +/- 0.32 | input | Phys.Rev.Lett.88:231803,2002 (hep-ex/0202019) | 2.1 < p < 2.6, Vub redetermined from partial BF |
BELLE (endpoint) | 4.85 +/- 0.45 +/- 0.25 | input | Phys.Lett.B621:28-40 (2005) (hep-ex/0504046) | 1.9 < p < 2.6 |
BABAR (endpoint) | 4.35 +/- 0.29 +/- 0.27 | input | Phys.Rev.D73:012006,2006 (hep-ex/0509040) | 2.0 < p < 2.6, Vub redetermined from partial BF |
BABAR (E_{e}, q^{2}) | 4.04 +/- 0.27 +/- 0.25 | input | Phys.Rev.Lett.95:111801,2005 (hep-ex/0506036) | (Ee-q2) |
BELLE m_{X} | 4.39 +/- 0.29 +/- 0.26 | input | Phys.Rev.Lett.95:241801,2005 (hep-ex/0505088) | mX, BRECO tag; other methods (mX-q2 and P not used) |
BELLE sim. ann. (m_{X}, q^{2}) | 4.47 +/- 0.47 +/- 0.21 | input | Phys.Rev.Lett.92:101801,2004 (hep-ex/0311048) | mX - Q2, tag with annealing method |
BABAR (m_{X}, q^{2}) | 4.86 +/- 0.36 +/- 0.22 | input | preliminary (hep-ex/0507017) | mX-q2, BRECO tag |
Average +/- exp +/- (mb,theory) | 4.49 +/- 0.22 +/- 0.20 | chi2/dof = 10.4/6 (CL = 0.11) | Plots: eps pdf | HQ parameter input from b to s gamma moments fitted in the Shape Function scheme |
+-1.8stat +-2.4exp +-1.6b2c model +-2.2b2u model +-1.5mb (R_CUT) +-2.4alpha_s (R_CUT) +-3.0TOTAL SL WIDTH +-3.1DGE theory
where the errors correspond to statistics, experimental systematics,
the
modeling of b -> c l nu and b -> u l nu decays, effect of
uncertainty on mb
on the prediction of the event fraction (R_CUT),
effect of alpha_s
uncertainty on R_CUT, uncertainty on total semileptonic B width, and
from the change
and variation of scale of the matching scheme (DGE theory).
Using the average |Vub| along with the calculated full b -> u l nu rate from DGE \(66.5/ps-1/|Vub|2) results in a total BF
BF(b -> u l nu) = (2.05 +- 0.28)*10-3
Vub (B->Xc l nu & B->Xs g moments) | |
Theory framework | Vub [10-3] |
---|---|
BLNP (Phys. Rev. D72:073006 (2005)) | 4.45 +/- 0.20 +/- 0.26 |
DGE (JHEP 0601:097 (2006)) | 4.41 +/- 0.20 +/- 0.20 |
A plot of this table is available in two formats: eps pdf
The errors on |Vub| are experimental and theoretical, respectively.
Vub (B->Xs g moments) | |
Theory framework | Vub [10-3] |
---|---|
BLNP (Phys. Rev. D72:073006 (2005)) | 4.75 +/- 0.22 +/- 0.39 |
DGE (JHEP 0601:097 (2006)) | 4.49 +/- 0.22 +/- 0.20 |
A plot of this table is available in two formats: eps pdf
Above we have used two theoretical formulations to extract Vub from measurements of inclusive charmless B-meson decays in various kinematic regions of phase space. Recently BABAR measured inclusive Vub using the prescription of Leibovich, Low, and Rothstein (LLR) 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 (hep-ex/0601046). The LLR approach reduces the dependence on the shape function because no model for the shape function is assumed, in contrast to the BLNP formulation used above. Here we provide a comparison.
The errors on |Vub| are experimental and theoretical, respectively.
Description | Vub [10-3] | Reference |
---|---|---|
HFAG Ave. (BLNP) | 4.45 +/- 0.20 +/- 0.26 | |
HFAG Ave. (DGE) | 4.41 +/- 0.20 +/- 0.20 | |
BABAR (LLR) hep-ph/0601046 | 4.43 +/- 0.45 +/- 0.29 | Preliminary (hep-ph/0601046) |
A plot of this table is available in two formats: eps pdf
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_{+} | 3.31 +/- 0.68 +/- 0.42 | NA | NA | (1.80+-0.37+-0.23) Preliminary, SL tag (hep-ex/0506065) (input) |
BABAR Breco tag: B ^{+} \rightarrow \pi^{0} l^{+} \nu \times 2\tau_{0}/\tau_{+} | 1.60 +/- 0.41 +/- 0.21 | 1.10 +/- 0.35 +/- 0.16 | 0.50 +/- 0.22 +/- 0.12 | (0.79+-0.20+-0.11) preliminary Breco tag (hep-ex/0507085) (input) |
BELLE SL tag: B ^{+} \rightarrow \pi^{0} l^{+} \nu \times 2\tau_{0}/\tau_{+} | 1.37 +/- 0.24 +/- 0.17 | 0.97 +/- 0.20 +/- 0.11 | 0.40 +/- 0.15 +/- 0.05 | (0.76+-0.13+-0.09) Preliminary, SL tag (hep-ex/0508018) (input) |
BABAR SL tag: B ^{0} \rightarrow \pi^{-} l^{+} \nu | 1.02 +/- 0.25 +/- 0.13 | 0.81 +/- 0.23 +/- 0.11 | 0.21 +/- 0.14 +/- 0.05 | Preliminary, SL tag (hep-ex/0506064) (input) |
BELLE SL tag: B ^{0} \rightarrow \pi^{-} l^{+} \nu | 1.46 +/- 0.20 +/- 0.16 | 1.06 +/- 0.16 +/- 0.12 | 0.39 +/- 0.12 +/- 0.05 | Preliminary, SL tag (hep-ex/0508018) (input) |
BABAR Breco tag: B ^{0} \rightarrow \pi^{-} l^{+} \nu | 1.14 +/- 0.27 +/- 0.17 | 0.49 +/- 0.19 +/- 0.07 | 0.65 +/- 0.20 +/- 0.13 | Preliminary, Breco tag, (hep-ex/0507085) (input) |
CLEO untagged: B \rightarrow \pi l^{+} \nu | 1.32 +/- 0.18 +/- 0.13 | 1.07 +/- 0.16 +/- 0.11 | 0.25 +/- 0.09 +/- 0.05 | Untagged, Phys. Rev. D 68, 072003 (2003) ) (input) |
BABAR untagged: B \rightarrow \pi l^{+} \nu | 1.38 +/- 0.10 +/- 0.18 | 0.89 +/- 0.09 +/- 0.12 | 0.49 +/- 0.05 +/- 0.06 | Untagged, Phys .Rev. D72, 051102 (2005) ) (input) |
Average: B ^{0} \rightarrow \pi^{-} l^{+} \nu | 1.34 +/- 0.08 +/- 0.08 | 0.94 +/- 0.06 +/- 0.06 | 0.39 +/- 0.04 +/- 0.04 | Plots: eps pdf chi2/dof = 8.4/7 (CL = 0.30) |
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, 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 |V_ub| in q^2 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 q^2 region.
A determination of |Vub| making use of the experimental input on the q2 dependence is under study but not yet available.
The errors on |Vub| are experimental and theoretical, respectively.
FF calculation | Vub [10-3] | q2 range | FF norm (ps-1) | Reference |
---|---|---|---|---|
Ball-Zwicky q2 < 16 | 3.36 +/- 0.15 +0.55-0.37 | <16 GeV2 | 5.44 +/- 1.43 | Phys. Rev. D71:014015 (2005) |
HPQCD q2 > 16 | 4.20 +/- 0.29 +0.63-0.43 | >16 GeV2 | 1.46 +/- 0.35 | Phys. Rev. D73:074502 (2006) |
FNAL q2 > 16 | 3.75 +/- 0.26 +0.65-0.43 | >16 GeV2 | 1.83 +/- 0.50 | hep-lat/0409116 |
APE q2 > 16 | 3.78 +/- 0.26 +1.45-0.67 | >16 GeV2 | 1.80 +/- 0.86 | Nucl. Phys. B 619 (2000) 565-587 |
A plot of this table is available in two formats: eps pdf
FF calculation | Vub [10-3] | q2 range | FF norm (ps-1) | Reference |
---|---|---|---|---|
Ball-Zwicky full q2 | 3.36 +/- 0.15 +0.66-0.41 | full | 7.74 +/- 2.32 | Phys. Rev. D71:014015 (2005) |
HPQCD full q2 | 3.81 +/- 0.16 +0.82-0.50 | full | 6.03 +/- 1.94 | Phys. Rev. D73:074502 (2006) |
FNAL full q2 | 3.74 +/- 0.16 +0.86-0.51 | full | 6.24 +/- 2.12 | hep-lat/0409116 |
APE full q2 | 3.53 +/- 0.15 +1.08-0.56 | full | 7.0 +/- 2.9 | Nucl. Phys. B 619 (2000) 565-587 |
A plot of this table is available in two formats: eps pdf
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) |
CLEO | B0-> rho- l+ nu | 2.69 +/-0.41 +0.35/-0.40 +/-0.50 | Phys. Rev. D 61, 052001 (2000) |
BABAR | B0-> rho- l+ nu | 2.57 +/-0.52 +/-0.59 | Preliminary, Breco tag (ICHEP conference paper) |
BABAR | B0-> rho- l+ nu | 3.29 +/-0.42 +/-0.47 +/-0.60 | Phys. Rev. Lett. 90, 181801 (2003) |
CLEO | B0-> rho- l+ nu | 2.17 +/-0.34 +0.47/-0.54 +/-0.41 +/-0.01 | Phys. Rev. D 68, 072003 (2003) |
BABAR | B0-> rho- l+ nu | 2.14 +/-0.21 +/-0.51 +/-0.28 | Untagged, Phys .Rev. D72, 051102 (2005) (hep-ex/0507003) |
BELLE | B0-> rho- l+ nu | 2.07 +/-0.47 +/-0.25 +/-0.14 | Preliminary, SL tag (hep-ex/0508018) |
BELLE | B+-> rho0 l+ nu | 1.39 +/-0.23 +/-0.17 +/-0.02 | Preliminary, SL tag (hep-ex/0508018) |
BELLE | B+-> omega l+ nu | 1.3 +/-0.4 +/-0.2 +/-0.3 | Phys. Rev. Lett. 93:131803 (2004) |