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 hep-ex/0404017

It is based on calculations in Refs. hep-ph/0401063 and hep-ph/0410080 . 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.

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=0 c=0.6,1.2,1.5 | n=1 c=1.9,2.0 | hep-ex/0403031 , hep-ex/0403030 |

BABAR | n=4 c=0.9,1.0,1.1,1.2,1.3,1.4,1.5 | n=1 c=0.6,0.8,1.0,1.2,1.5 | n=2 c=1.9 | Measurement of the B->Xs gamma Branching Fraction and Spectral Shape from a Sum of Exclusive Final States, presented at Moriond 2005 |

BABAR | . | n=2 c=0.6,1.0,1.5 | . | Results from the BaBar Fully Inclusive Measurement of B->Xs gamma, contributed to Lepton-Photon 2005 |

BABAR | . | n=3 c=0.8,1.2 | . | . |

Belle | . | . | n=1 c=1.8 | hep-ex/0403004 |

CDF | n=2 c=0.7 | . | . | hep-ex/0502003 |

CDF | n=4 c=0.7 | . | . | . |

CLEO | n=2 c=1.0,1.5 | . | n=1 c=2.0 | hep-ex/0403052 |

CLEO | n=4 c=1.0,1.5 | . | . | hep-ex/0108032 |

DELPHI | n=2 c=0.0 | n=1 c=0.0 | . | DELPHI 2004-021 CON 696 - ICHEP04 |

DELPHI | n=4 c=0.0 | n=2 c=0.0 | . | . |

DELPHI | n=6 c=0.0 | n=3 c=0.0 | . | . |

HFAG | . | n=0 c=0.6 | . | HFAG SUMMER 04 update |

We considered two separate scenarios. The fit was carried out using:

- only hadron and lepton moments from b->clv decays as input

- using all moment measurements listed in the above table (b->clv and b->sgamma)

Fit Input | mb | mu_pi^2 | Correlation | Chi^2/Ndof |
---|---|---|---|---|

All moments | mb = 4.591 +- 0.040GeV | mu_pi^2 = 0.406 +- 0.041 GeV^2 | rho = -0.318 | chi2/Ndof = 17.6/41 |

clv moments | mb = 4.644 +- 0.074 GeV | mu_pi^2 = 0.392 +- 0.043 GeV^2 | rho = -0.393 | chi2/Ndof = 15.3/33 |

A figure of the Delta chi^2 ellipse in the (mb,mu_pi^2) plane can be found here: mb vs mupi2 in kinetic scheme

Scheme | Fit Input | mb | mu_pi^2 |
---|---|---|---|

Kagan-Neubert | All moments | Lambda = 0.628 - 0.038 + 0.041 GeV | lambda_1 = -0.499 - 0.081 + 0.067 GeV^2 |

Kagan-Neubert | clv moments | Lambda = 0.569 - 0.074 + 0.079 GeV | lambda_1 = -0.494 - 0.091 + 0.072 GeV^2 |

Shape Function scheme | All moments | mb = 4.603 - 0.038 + 0.040 GeV | mupi^2 = 0.203 - 0.039 + 0.038 GeV^2 |

Shape Function Scheme | clv moments | mb = 4.662 - 0.078 + 0.079 GeV | mupi^2 = 0.188 - 0.043 + 0.042 GeV^2 |

A figure of the Delta chi^2 ellipse in the (Lambda,lambda_1) plane for Kagan-Neubert can be found here: Lambda vs lambda_1 in Kagan-Neubert scheme

A figure of the Delta chi^2 ellipse in the (mb,mu_pi^2) plane for the Shape Function scheme can be found here: mb vs mupi2 in shape function scheme

Last update: 2005/06/27 Henning Flaecher