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Heavy Quark Phenomenology

Heavy Quark Phenomenology. B → f K S CP / f K * Polarization /Collider Implications. August 17, 2003 ICHEP2004, Beijing. Outline. Comment on BNV in t Decay Intro: HQ & NP b  s Phenomena is Current Frontier for NP Light and f K S CPV : PRL Highlights

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Heavy Quark Phenomenology

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  1. Heavy Quark Phenomenology B→fKSCP/fK*Polarization/Collider Implications August 17, 2003 ICHEP2004, Beijing

  2. Outline • Comment on BNV in t Decay • Intro: HQ & NP b s Phenomena is Current Frontier for NP • LightandfKSCPV:PRL Highlights Model Upshot / PV,PP Numerics / KSp0gCPV / BS • fK*Polarization:Heuristic/Drastic Model SM; NP — CPV, TV • Collider Search for Light : Tevatron! • Conclusion Based on WSH, M. Nagashima, A. Soddu, hep-ph/0404002 C.K. Chua, WSH, M. Nagashima, PRL92, 201803 (2004) WSH and M. Nagashima, hep-ph/0408007 K. Cheung and WSH, hep-ph/0404041 (to appear PRD) George W.S. Hou (NTU)

  3. Comment on B#V in t Decay Contrary to our hep-ph Marciano, Nucl.Phys.Proc.Suppl. ’95 ARGUS 1992 CLEO 1999 ? 2004? Likewise for t+ Lp+ George W.S. Hou (NTU)

  4. I. Introduction: HQ & NP b  s Phenomena is Current Frontier for NP • CP Phase sin2FBd~ 0.73 Agree with CKM Fit • butB Kp/pp Modes ? • Issin2FBdfKs Opposite Sign to sin2FBd !? • Other bs Penguins ?fK*Polarization ? • EWP: Could NP emerge in bsℓ+ℓ− ? • DmBs“Just Around the Corner” • but ifsin2FBs ≠ 0 NP • bsgL? Wrong Helicity Component? • Test via B0KSp0gMixing-dep CPV (KS tagging) • ≠ 0NP • or Bsfg[or L Polarization] George W.S. Hou (NTU)

  5. NP CPV phase s~ 60° - 70° ~ 200 GeV Collider Direct Search (IV) ~ 500 GeV II. Light and fKSCPV PRL Highlights Model Upshot Two Particle System Flavor Factory but need to disentangle hadronic effect Clean Modes George W.S. Hou (NTU)

  6. Large Eff. s-b Mixing IfSfKs< 0 [Belle/BaBar Update ...] Large,NewPhysics,b → s CPVEffect • Large Effective s-b Mixing • NewCPV Phase • Right-handed Interaction [to getsin2f1eff (KSp0) ~ sin2f1] Independently Motivated Model: a Light Strange-beauty Squark 1 NewCPV Phase George W.S. Hou (NTU)

  7. Mass/Mixing Hierarchy & R.H. FlavorSector mass VCKM no r.h. force Ansatz Commuting Charges Motivation: Abelian Flavor Symmetry • Nir-Seiberg, PLB’93; Leurer-Nir-Seiberg, NPB’94 George W.S. Hou (NTU)

  8. Alternative Picture: Chang, Masiero, Murayama Mass/Mixing Hierarchy & R.H. FlavorSector no r.h. force Ansatz Commuting Charges Motivation: Abelian Flavor Symmetry Prominent r.-h. elements • Nir-Seiberg, PLB’93; Leurer-Nir-Seiberg, NPB’94 • Chua-WSH, PRL’01: Because of FCNC, Need 4 Texture Zeros(decouple s flavor) • Arhrib-Chua-WSH ’01:Decouple d flavor Focus: s-b GUT George W.S. Hou (NTU)

  9. Level Splitting by Large Mixing Drive One State Light strange-beauty squark 1 CP Phase s Focus on 200 GeV George W.S. Hou (NTU)

  10. 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 (NTU)

  11. 1, 0.5 TeV 2, 0.5 1, 0.8 TeV 2, 0.8 b sg(andB fKs) Rate Constraint • Survive b sg Constraint !! • B fKsRate [ More Conservative ] s ~ p: LR Chiral Enhancement • fKs Rate “Sees Red” • Combine b s g and B fKs • → s ~ p/2,3p/2 ? Arhrib-Chua-WSH, PRD’01 George W.S. Hou (NTU)

  12. SfKs < 0,SKsp0~ SyKsPossible : Anticorrelated • SfKs< 0 prefers lower s-plane • SKsp0,Sh’Ks~sin2FBd as well! • Lower gluino masslowers SfKs • Prefer to keep gluino mass • above 500 GeV (L.E. Constraints) • >>Hadronic Parameters << • CP phase enters B → fKs via • Lower q2, and/or larger • Larger |SfKs | • Could s ~p/2be it? 0.5 TeV Preferred mES Simpler(vsSh’Ks) Anticorrel. noticed first by Khalil & Kou ’03 for Sh’Ks [Murayama et al. ’03] George W.S. Hou (NTU)

  13. Amplitudes hadronic uncertainty V∓ A Reason why Opposite Trend inSfKs vsSKsp0,Sh’Ks Right-handed interactions George W.S. Hou (NTU)

  14. Implication: Wrong Helicity Photon inb sgR • Strength of Mixing-dep. CPV • Test gR component • (Atwood, Gronau, Soni, 1997) • SK*0(Ksp0)gnowPromising • In contrast Bsf g • probably rely on DGBs • Can also test gR comp. via • LPolarization in LbLg • (Mannel, Recksiegel, 1997) Crisp In SM, b sgL Free of hadronic uncertainty George W.S. Hou (NTU)

  15. 1, 0.5 TeV 2, 0.5 1, 0.8 TeV 2, 0.8 Tough (!?) Clean Measure: DmBs, sin2FBs Take s ~ p/2as example • Lighter gluino ~500 GeV Needed • - DmBs > 70ps-1Tough ! • - sin2FBs ~0 - 1 Tough ? • Would’ve preferred [Arhib, Chua, WSH 01] • heavier gluino but for … SfKs < 0 • LHCb can still measure! • CPV in untaggedDGBs also • 100 GeV ? • ~ 200 GeV case • Except, Easier Direct Detection ! Details: WSH and M. Nagashima, hep-ph/0404001 to appear in PRD George W.S. Hou (NTU)

  16. PRL PRL III. fK*Polarization Puzzle Large,NewPhysics, CPC b → s Effect Needed ? George W.S. Hou (NTU)

  17. g b x x Heuristic/Drastic Model On-shell bsg: gis Transverse bsg ~ 3 x 10−4 bsg ~ few x 10−3 0.1% ? 10% BK*g ~ 4 x 10−5 BKT*fT~ 5 x 10−6 min. is “gg” Simple String Fragmentation  Resonances Complicated Color Structure George W.S. Hou (NTU)

  18. Ansatz ad hocterm George W.S. Hou (NTU)

  19. SM and NP “Solutions”: Prediction for wK* absence for rK* SM NP (s = p/2) George W.S. Hou (NTU)

  20. CP and T Violation in Polarization States George W.S. Hou (NTU)

  21. LSP ? ~ 200 GeV ~ 500 GeV IV. Collider Search for Light Tevatron Study w/ Kingman Cheung, hep-ph/0404041 to appear PRD George W.S. Hou (NTU)

  22. Standard b squark limit diluted by dual s-bflavor of George W.S. Hou (NTU)

  23. Cross Sections at Tevatron Dominant ~ 0.1-1 pb ≲ 0.01 pb A few hundred events at few fb−1 George W.S. Hou (NTU)

  24. Question is Decay: bino LSP • or gravitino • Can be Stable? (LSP) Detection • Basically, just a light “b”-squark in Production • so, Discovery not a problem. sin2q is b fraction Anyway, need Good b-tagging ! [s-tagging?] In principle  Heavy MIPs George W.S. Hou (NTU)

  25. standard sbeauty • Discovery (> 10 evts) • up to 300 GeV • w/ 2 fb−1 & sin2qm>0.5 • Single vs double b-tag • contain info on sinqm • b-tag cross section: • check consistency • vs mass reference 1 George W.S. Hou (NTU)

  26. Conclusion • SfKs,SKsp0 ,Sh’Ks Data MayCall for - Larges-b Mixing, w/ New CPV Phase & R.-h. Interaction • fK*Polarization Puzzle may call for Drastic Remedy • A Light Flavor-mixed Squark? Independtly Well Motivated (Flavor & SUSY) • Survive b s g (!) • Can Account for SfKs ≲ 0, butSKsp0 ,Sh’Ks ~ SyKs • DmBs,sin2FBs May BecomeDifficult • SKsp0g nowPromising, and Clean • Search at Tevatron (and beyond) Profitable [offerred] George W.S. Hou (NTU)

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