# 1S Scheme

The fit uses all public moment measurements of the hadronic mass and lepton energy distribution in b->clv decays and photon energy distribution of b-> s gamma decays where correlation matrices are available. It follows closely the approach of arXiv:hep-ex/0611047v2.

It is based on calculations in Phys.Rev. D70 094017 (2004) [arXiv:hep-ph/0408002v3] and Phys. Rev. D 67 054012 (2003) arXiv:hep-ph/0210027v2 . Theoretical errors concerning the accuracy in the expression for a given moment have been assigned following the recipes given by the authors of the above publications.

### Fit Results in the 1S Scheme

Fit Input |Vcb|(10-3) mb1S(GeV) lambda1(GeV2)
Correlation
Chi2/Ndof
All moments (B->Xc l nu + B -> Xs gamma) 41.78 +/- 0.30(fit) +/- 0.08(B lifetime) 4.701 +/- 0.030 -0.313+/- 0.025 corr 25.3/(70-7)
Semileptonic moments (B->Xc l nu) 41.56 +/- 0.39(fit) +/- 0.08(B lifetime) 4.751 +/- 0.058 -0.274+/- 0.047 corr 22.7/(60-7)

Figures of the Delta chi^2 =1 ellipses can be found here:

## Fit Input

We consider two data samples for the fit, using:
1. The full set of input data currently available (Table 1).
2. Only the semileptonic moments (Table 1).

Table 1. A list of the moment measurements that form the basis for the combined fit. The symbol 'n' indicates the order of the moment while 'c' indicates the value of the minimum lepton or photon energy with which the moments are measured.
Experiment Hadron Moments Lepton Moments Photon Moments References
BaBar n=2 c=0.9,1.0,1.1,1.2,1.3,1.4,1.5

n=4 c=0.9,1.0,1.1,1.2,1.3,1.4,1.5 [1]

n=0 c=0.6,1.2,1.5

n=1 c=0.6,0.8,1.0,1.2,1.5

n=2 c=0.6,1.0,1.5

n=3 c=0.8,1.2 [2]

n=1 c=1.9,2.0

n=2 c=1.9 [3,4]

[1] Phys.Rev. D69 (2004) 111103 [arXiv:hep-ex/0403031v1]

[2] Phys.Rev. D69 (2004) 111104 [arXiv:hep-ex/0403030v2]

[3] Phys.Rev. D72 (2005) 052004 [arXiv:hep-ex/0508004v2]

Belle n=2 c=0.7,1.1,1.3,1.5

n=4 c=0.7,0.9,1.3 [5]

n=0 c=0.6,1.0,1.4

n=1 c=0.6,0.8,1.0,1.2,1.4

n=2 c=0.6,1.0,1.4

n=3 c=0.8,1.0, 1.2 [6]

n=1 c=1.8,1.9

n=2 c=1.8,2.0 [7]

[5] Phys.Rev. D75 (2007) 032005 [arXiv:hep-ex/0611044v2]

[6] Phys.Rev. D75 (2007) 032001 [arXiv:hep-ex/0610012v3]

CDF n=2 c=0.7

n=4 c=0.7 [8]

. . [8] Phys.Rev. D71 (2005) 051103 [arXiv:hep-ex/0502003v3]
CLEO n=2 c=1.0,1.5

n=4 c=1.0,1.5 [9]

. n=1 c=2.0 [10] [9] Phys.Rev. D70 (2004) 032002 [arXiv:hep-ex/0403052v2]

[10] arXiv:hep-ex/0403052v2 [arXiv:hep-ex/0403052v2]

DELPHI n=2 c=0.0

n=4 c=0.0 [11]

n=1 c=0.0

n=2 c=0.0

n=3 c=0.0 [11]

. [11] Eur.Phys.J. C45 (2006) 35-59 [arXiv:hep-ex/0510024v1]

• Last update: 2007 Aug 8 by Phillip Urquijo