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Bottom and Charm Mass from Inclusive B Decays

Bottom and Charm Mass from Inclusive B Decays. TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: A A A A A A A A A. Outline. Quark masses in QCD Heavy Quark Effective Theory from inclusive B decays from inclusive B decays Conclusions.

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Bottom and Charm Mass from Inclusive B Decays

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  1. Bottom and Charm Mass from Inclusive B Decays SFB Workshop, Rwth Aachen , February 21-22 2007 TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: AAAAAAAAA

  2. Outline • Quark masses in QCD • Heavy Quark Effective Theory • from inclusive B decays • from inclusive B decays • Conclusions based on: Bauer et al. PRD 67 054012 (2002) Bauer et al. PRD 70 094017 (2004) Gambino etal. EPJC 34 181 (2004) Hoang et al. PLB 633 526 (2005) Buchmüller et al. PRD 73 073008 (2006) SFB Workshop, Rwth Aachen , February 21-22 2007

  3. Remarks on Quark Masses SFB Workshop, Rwth Aachen , February 21-22 2007

  4. Remarks on Quark Masses SFB Workshop, Rwth Aachen , February 21-22 2007

  5. Remarks on Quark Masses SFB Workshop, Rwth Aachen , February 21-22 2007

  6. Remarks on Quark Masses SFB Workshop, Rwth Aachen , February 21-22 2007

  7. Remarks on Quark Masses Heavy Quark Effective Theory: also: • Inclusive moments (“wide” cuts) SFB Workshop, Rwth Aachen , February 21-22 2007

  8. Bottom mass from B decays Bauer,Ligeti,Luke,Manohar,Trott Experimental Data: (BABAR, BELLE, CLEO, DELPHI) 87 measurements Lepton energy moments Hadron invariant mass moments “half-integer” moments: worse OPE, only 1-loop not included in the analysis (BABAR, BELLE, CLEO) 5 measurements • n=1,2 • different SFB Workshop, Rwth Aachen , February 21-22 2007

  9. Bottom mass from B decays Bauer,Ligeti,Luke,Manohar,Trott Theoretical Input: 1) Pole scheme HQET expression: 2) Eliminate : 3 HQET parameters eliminated 3) Implement threshold : 4) Expand in (upsilon expansion) and • renormalon cancellation • use same and number of active flavors SFB Workshop, Rwth Aachen , February 21-22 2007

  10. Bottom mass from B decays Bauer,Ligeti,Luke,Manohar,Trott Fit Procedure: 92 measurements 7 fit parameters: 10 different expansion schemes: - 1S, PS, kinetic, pole, - eliminate OR keep Correlation error matrix: Experimental corr. matrix SFB Workshop, Rwth Aachen , February 21-22 2007

  11. Bottom mass from B decays Bauer,Ligeti,Luke,Manohar,Trott Results: PDG Description of data Order behavior tree SFB Workshop, Rwth Aachen , February 21-22 2007

  12. Bottom mass from B decays Bauer,Ligeti,Luke,Manohar,Trott Results: PDG + nonpert. HQET matrix elements ! Consistent with Buchmüller etal. + correlation matrix for all parameters ! Room for improvement: Identical to: Hoang, hep-ph/0008102 • full 2-loop partonic analysis • even better and more data (no voids!) same central value as Kuhn, Steinhauser, Sturm (2007) SFB Workshop, Rwth Aachen , February 21-22 2007

  13. Charm mass from B decays AH,Manohar spin-averaged B,B* and D,D* masses and correlation matrix Perturbative Input: Chetyrkin etal. Melnikov etal. renormalon cancellation: • same and active running flavors • finite charm mass corrections: • expand out in everywhere Hoang SFB Workshop, Rwth Aachen , February 21-22 2007

  14. Charm mass from B decays AH,Manohar 8 Expansion methods: • OR directly • solve for analytically OR fit numerically • take as input OR General feature: spread of different methods larger than perturbative error estimate for each method exp.error B data theo. error B moments SFB Workshop, Rwth Aachen , February 21-22 2007

  15. Charm mass from B decays AH,Manohar 8 Expansion methods: • OR directly • solve for analytically OR fit numerically • take as input OR add linearly Buchmüller etal. half of range obtained for all 8 methods exp.error B data theo. error B moments SFB Workshop, Rwth Aachen , February 21-22 2007

  16. Comment on sum rules AH,Jamin, 2004 usual fixed order: fixed RGI-A : RGI-B : pert. Behavior of moments: SFB Workshop, Rwth Aachen , February 21-22 2007

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