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CKM. E XTRACTION O F V IA I SOSPIN A NALYSIS O F D ECAYS. Yeo Woong Yoon Collaboration with C. S. Kim and Sechul Oh. H ISTORY OF E XTRACTING. decays. Weak phase.
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CKM EXTRACTION OF VIA ISOSPIN ANALYSIS OF DECAYS Yeo Woong Yoon Collaboration with C. S. Kim and Sechul Oh
HISTORY OF EXTRACTING • decays Weak phase Gronau, London, Wyler (1991) u Color suppressed But the triangles are quite squashed ! Color allowed
HISTORY OF EXTRACTING • GLWFrom and their CP conjugates The triangles are quite squashed • ADSImprovement of GLW method by seeing and . Enhancement of since • GGSZDalitz analysis from Gronau, Wyler (1991), Gronau, London (1991) Atwood, Dunietz, Soni (1997) Giri, Grossman, Soffer, Zupan (2003) Combined all methods : UTfit, Winter 2007
HISTORY OF EXTRACTING • and SU(3) Flavour Symmetry Gronau, Rosner, London (1994); Buras Fleischer (1995); Deshpande, He (1995) Gronau, Hernandez, London, Rosner (1995); Fleischer (1996); NeubertRosner (1998); Buras, Fleischer (1999); Gronau, Rosner (2002)
HISTORY OF EXTRACTING • Fleischer – Mannel Bound Fleischer, Mannel (1998) = 72° = 0.90 ± 0.05
ISOSPIN ANALYSIS IN DECAYS • Isospin Relation for Decays One can make two quadrangle in complex plane from these two relations RemindGronau, London (1990)
ISOSPIN ANALYSIS IN DECAYS Determination of a quadrangle: 4 lengths + 1 angle • All lengths can be obtained by 4 Br’s and 4 Acp’s. • gives one constrains on angles • from gives one another constrains on angles Two quadrangles are determined Mixing induced CPV is a function of θ
ISOSPIN ANALYSIS IN DECAYS • Mixing induced CPV Middle value Error
DISCRETE AMBIGUITY A B 4 ambiguity C D A ambiguity for two quadrangle A1 A2 A3 A4
DISCRETE AMBIGUITY A1 A2 B1 B2 A3 A4 B3 B4 C1 C2 D1 D2 C3 C4 D3 D4 Totally Sixteen-fold Discrete Ambiguity occurs
EXTRACTION OF A1: A4: B2 and C2: B3: Dashed line : (unreasonable)
EXTRACTION OF Fleischer and Mannel Bound Sharply consistent to the graph Dashed line : (unreasonable)
CONCLUSION • We adopt①Isospin relation in decays. ②Quark Diagram Approach in and it’s charge conjugate modes. • All nine measurements of is requiredto extract in this framework. Mixing inducedCP asymmetry plays a crucial role. • We extract from only decay system without using SU(3) flavor sym. as follows