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A Two Particle SUSY/ Flavor Perspective on CPV in B → f K S

A Two Particle SUSY/ Flavor Perspective on CPV in B → f K S. December 15, 2003 @ 6 th ACFA LC Workshop. Prologue: Is there a Link btwn LC and B?. Super B Upgrade Does Take Aim at SUSY Effects !. But. Could B Factory Impact on Tevatron/LHC/LC !?.

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A Two Particle SUSY/ Flavor Perspective on CPV in B → f K S

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  1. A Two Particle SUSY/FlavorPerspective onCPV in B → fKS December 15, 2003 @ 6th ACFA LC Workshop

  2. Prologue:Is there a Link btwn LC and B? • Super B Upgrade Does Take Aim at SUSY Effects ! But ... • Could B Factory Impact on Tevatron/LHC/LC !? George W.S. Hou

  3. Introduction: Intuitive Grasp of SfKsData* *Cheon’s talk George W.S. Hou

  4. World Average sin2f1eff (fKS) = -0.39±0.41 2002 158 fb-1: sin2f1eff (fKS) = -0.15±0.33 2003 250 fb-1: Still 2.7s from 0.73 (~ 2002) Large,NewPhysics,b → s CPVEffect • Large Effective s-b Mixing • NewCPV Phase • Right-handed Interaction [to getsin2f1eff (h’KS) ~ sin2f1] Call for Synergies of Flavor & SUSY ? George W.S. Hou

  5. Penguins (Vertex Loops) Real SM (KM) Prediction SfKS= sin2f1 b Possible SUSY FCNC/CPV Loop George W.S. Hou

  6. Framework • (approximate) Abelian Flavor Symmetry ⊕ SUSY AFS Has Right-handed s-b Mixing SUSY Brings in Right-handed Dynamics • AFS Model Pre-existed Nir-Seiberg, PLB’93; Leurer-Nir-Seiberg, NPB’94 • More Definite, yet Generic, Model Context ⇨ Constraints/Predictions ⇦ Has All Ingredients George W.S. Hou

  7. Abelian Flavor Symmetry and SUSY? George W.S. Hou

  8. Prominent AFS: Independently Well Motivated Mass/Mixing Hierarchy Diag: Mass Up-right: VCKM Abelian Flavor Symmetry Commuting Charges but right-handed Nir-Seiberg, PLB’93; Leurer-Nir-Seiberg, NPB’94 N.B. Need 4 Texture Zeros(Chua-WSH, PRL’01) : Set [..] = 0 Arhrib-Chua-WSH, PRD’01Decouple d flavor Alternative Picture: Chang, Masiero, Murayama GUT George W.S. Hou

  9. Assume Right-handed QuarksInert in SM  Right-handedSquarks SUSY also important RR Sector Impact b ⇄s thru SUSY George W.S. Hou

  10. Level Splitting by Large Mixing Drive One State Light strange-beauty squark 1 CP Phase 100 GeV Possible Focus on 200 GeV George W.S. Hou

  11. Why TeV Scale SUSY? • Large Flavor Violation (s-b) • ⇔ Stringent Low Energy Constraints Chua-WSH, hep-ph/0110106 George W.S. Hou

  12. Facing B Data Arhrib-Chua-WSH, PRD’01 Chua-WSH-Nagashima, hep-ph/0308298 George W.S. Hou

  13. A Little Note on Formalism … • Besides O1,2Tree • O3-6Strong Penguin • O7-10EM/EW Penguin • alsoO11,12g/g Dipole Matrix Elements evaluated via Naïve Factorization George W.S. Hou

  14. B → fKs,h’Ks Rates 1, 0.5 TeV 2, 0.5 1, 0.8 TeV 2, 0.8 First, Rate Constraints • Survive b → sg Constraint More Conservative • fKs Rate “Sees Red” • Cannot Account for h’Ks Rate • Not a New Problem • Combine b → s g and B → fKs • → s ~ p/2,3p/2 ? George W.S. Hou

  15. Tuning for SfKs ≲ 0,Sh’Ks~ SyKs Possible • SfKs≲ 0 prefers lower s-plane • ➯ Sh’Ks≅sin2FBd as well ! • Lower gluino masslowers SfKs • Hadronic Parameters • CP phase enters B → fKs via • Lower q2, and/or larger • ➯Larger |SfKs | • ∴ Prefer to keep gluino mass • above 500 GeV (L.E. Constraints) • Could s ≲p/2be it? 0.5 TeV Preferred Noticed also by Khalil & Kou [Murayama et al.] George W.S. Hou

  16. A Two(Three)-particle SUSY/Flavor Model? George W.S. Hou

  17. The Upshot? Two-Particle SUSY Model • Why TeV Scale SUSY? • Large Flavor Violation (s-b) • ⇔ Stringent Low Energy Constraints • In fact, all other SUSY particles a “nuisance”:), • hence pushed high. • TeV Scale SUSY w/ Strange-beauty Squark • “Light” Particles: ≲ 200 GeV • ≳ (≲?) 500 GeV • likely LSP? • unlikely ~ TeV George W.S. Hou

  18. Generic Squark Bounds Allowed George W.S. Hou

  19. b , s ∴ (bb+sb+bs+ss) Diluted George W.S. Hou

  20. ~ 200 GeV ~ 500 GeV Collider Study w/ Kingman Cheung George W.S. Hou

  21. Cross Sections at Tevatron ~ 0.1-1 pb ≲ 0.01 pb A few hundred events at few fb−1 George W.S. Hou

  22. Somewhat forward More massive event Cross Sections at LHC Now Dominant Both ~ 10 pb Distinct, probe s → b George W.S. Hou

  23. Cross Sections at LC ~ 10 fb George W.S. Hou

  24. Detection • Basically, just a light “b”-squark in Production • so, Discovery not a problem. • Question is Decay: bino LSP • or gravatino • Can be Stable? (LSP) To be studied ... But, need Good b-tagging ! [s-tagging?] George W.S. Hou

  25. Conclusion • SfKs,Sh’Ks Data (May) Call for - Large s-b Mixing, w/ New CPV Phase - New Right-handed Interaction • Hint at a Light Flavor-mixed Squark? Independtly Well Motivated (Flavor & SUSY) • Survive b → sg, Account for SfKs ≲ 0,Sh’Ks>0 • Wait for Confirmation at B Factory [⇨SuperB] B Factory Could Impact on Tevatron/LHC/LC ! ➯ Study Collider Aspect Nonstandard, Flavorful TeV SUSY w/ light Strangebeauty CP Phase !? George W.S. Hou

  26. Backup Slides … George W.S. Hou

  27. 2002 Status of New Phases in b s Penguins 3

  28. Belle B → fKS :2002 vs2003 sin2f1eff (fKS) = -0.73±0.64±0.22 78 fb-1: sin2f1eff (fKS) = -0.96±0.50 140 fb-1: +0.09 -0.11 • Results stronger, but consistent (~ doubling of data) • 3.5sfromsin2f1 = 0.73 • Statistics dominated • 2002: published (PRD’03) • 2003: submitted to PRL (8/03), accepted 11/03 George W.S. Hou

  29. BaBar 2003:B →fKS Systematic Issues sin2f1eff (fKS) = -0.18±0.51±0.09 81 fb-1: sin2f1eff (fKS) = +0.45±0.43±0.07 110 fb-1: consistent w/ 0.73 Data size increased and was reprocessed. Extensive checks with data and Toy MC. The large change is attributed to a 1σ statistical fluctuation. New 29 fb-1 : Gives > +1 !! Browder @ LP03 George W.S. Hou

  30. Prominent AFS: Independently Well Motivated Mass/Mixing Hierarchy Diag: Mass Up-right: VCKM Abelian Flavor Symmetry Commuting Charges Nir-Seiberg, PLB’93; Leurer-Nir-Seiberg, NPB’94 but right-handed N.B. Need 4 Texture Zeros(Chua-WSH, PRL’01) : Set [..] = 0 Arhrib-Chua-WSH, PRD’01Decouple d flavor Alternative Picture: Chang, Masiero, Murayama GUT George W.S. Hou

  31. Amplitudes V∓ A Reason behind Opposite Trend in SfKs vsSh’Ks George W.S. Hou

  32. Situation forBsMixing and New Prospect for SK*0g George W.S. Hou

  33. Consequences: DmBs, sin2FBs Tough (!?) Take s ≲ p/2as example • Lighter gluino ~500 GeV Needed • - DmBs > 70ps-1Tough ! • - sin2FBs ~0 - 1 Tough ? • Would’ve preferred heavier gluino • but for … SfKs ≲ 0 • For lighter gluino, • periodicity change • ∵ • a-term dominant(two exch.) • 100 GeV ? • ~ 200 GeV case • Except, Easier Direct Detection ! George W.S. Hou

  34. Experimental Prospects for DmBs CDF Cannot Observe (already optimistic) What about LHCb/BTeV ? Nakada: Can; but CPV Program for Bs Diificult? George W.S. Hou

  35. Implications: Wrong Helicity Photon inb → sgL • Strength of Mixing-dep. CPV • Test gL component • (Atwood, Gronau, Soni, 1997) • SKsp0g nowPromising • Free from Hadronic Uncert. • In contrast, Bs→ f g • probably washed out • Can also test gL comp. via • LPolarization in Lb→ Lg • (Mannel, Recksiegel, 1997) George W.S. Hou

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