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July 19, 2003 HEP2003, Aachen

Indications for Large Rescatterings in Rare B Decays. July 19, 2003 HEP2003, Aachen. Outline. Motivation Ansatz : ( PP ) Multimode Fit ( Generalized ) Factorization ⊕ Rescattering Phases Two Scenarios ― Driven by & Conclusion/Discussion.

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July 19, 2003 HEP2003, Aachen

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  1. Indications for Large Rescatterings in Rare B Decays July 19, 2003 HEP2003, Aachen George W.S. Hou

  2. Outline • Motivation • Ansatz: (PP)Multimode Fit (Generalized)Factorization ⊕ Rescattering Phases • Two Scenarios ― Driven by & • Conclusion/Discussion SU(3) Formalism: 8⊗8→8⊗8Rescattering George W.S. Hou

  3. I. Motivation • History • Kp/ppLarge: Need for Large g[He-WSH-Yang ’99] and Factorization Works! George W.S. Hou

  4. I. Motivation • History • Kp/ppLarge: Need for Large g[He-WSH-Yang ’99] George W.S. Hou

  5. I. Motivation • History • Kp/ppLarge: Need for Large g[He-WSH-Yang ’99] • Speculation: Rate/aCP Pattern(late ’99 Data) •  Rescattering ? [WSH-Yang ’00] Final State Isospin Decomposition In Principle Present George W.S. Hou

  6. Can Shift Rate/CP Pattern —— esp. CPV George W.S. Hou

  7. I. Motivation • History • Kp/ppLarge: Need for Large g[He-WSH-Yang ’99] • Speculation: Rate/DCP Pattern(late ’99) •  Rescattering? [WSH-Yang ’00] • Present(Impact of B Factories!) • 2001:D⁰h⁰Discovery ― Large(Rescatt.?) • [Chua-WSH-Yang ’02] • K¯p⁺/K¯p⁰DCPV: Sign • p⁰p⁰Hint • Enigma Revisit Rescattering Belle/CLEO; BaBar 2003 George W.S. Hou

  8. II. Ansatz: Multimode Fit⊕FSI Phases Naïve Factorization ⊗ Final StateRescattering OtherwiseDouble Counting Special Quasi-Elastic Inelastic Phases “Cancel” Gerard-WSH; Suzuki-Wolfenstein George W.S. Hou

  9. B →PP Only: VP Unsettled (VV More So) • P: 8 of SU(3), ∴PP → PP FSI Rescattering • i.e., 8 ⊗ 8 = 1⊕8⊕8⊕10⊕27 Symmetric • TWOPhysical Phase Difference: • [Extend fromD⁰h⁰3 ⊗8→3 ⊗8Formalism] Unable to Treat 1, i.e. 1 ⊗ 8 ~ηʹK etc. (η₁), Will take η ≃ η₈ George W.S. Hou

  10. Heuristic Picture SU(3) Correspondence Π≡P George W.S. Hou

  11. δ George W.S. Hou

  12. δ,σ N.B. 1. 2. σArise from  Combo Only George W.S. Hou

  13. Heuristic Picture SU(3) Correspondence Π≡P George W.S. Hou

  14. Fit: à laWSH-Smith-Würthwein hep-ex/9910014 • Inputs: • Fit Parameters Output:Fitted Rates Crosscheck Reasonableness George W.S. Hou

  15. “World Average” > > > > > > > > > > Not Good Less Good Large FSI Phases ! What Drives Them? George W.S. Hou

  16. Correct Sign w/ Rescattering Settleδbetween themselves N.B. Disfavors sinδ<0 George W.S. Hou

  17. K-K+ Mode Can Be Small N.B. Treating limits as Gaussian is Wrong. George W.S. Hou

  18. δ= δ(Fit) Determine σ between each other (& KK) George W.S. Hou

  19. George W.S. Hou

  20. Not Used in Fit δ= δ(Fit) δ= δ(Fit) Fit 1 ~ 96˚ Weak σ dep. Strong g/ϕ₃ dep. Fit 2 = 60˚ George W.S. Hou

  21. Varied Landscape ! Flat forδ-σin First Quadrant George W.S. Hou

  22. III.Two Scenarios― Driven by Otherwise, Difference is marginal except, Scenario 1 Better Fit  Scenario 2 gives - Too Small p¯p⁰ ! (3σ) - Utilize Smaller F.F. … But Maybe Belle’s Right ? George W.S. Hou

  23. “World Average” > > > > > > > > > > Not Good Less Good Large FSI Phases ! What Drives Them? George W.S. Hou

  24. Discussion • In Past Two Years • K¯p⁺/K¯p⁰aCP: Sign • p⁰p⁰Hint • App, SppEnigma • Large Color Suppressed D⁰h⁰ Rescattering? Two (Sizable) FSI Phases Improve Understanding it feels real … Should be Clarified Soon by Data George W.S. Hou

  25. Conclusion N.B. Treatment of FSI SU(3) Phases as “Parameters”. George W.S. Hou

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