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Effects of New Physics on CP violation in B decays

Effects of New Physics on CP violation in B decays. July 17, 2003 HEP2003, Aachen. Outline. b ⇄ s Phenomena: Current Frontier for NP Flavor Models w/ 1 Extra CP Phase in b ⇄ s • 4th Generation • Large s R -b R Mixing w/ SUSY: Light Squark

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Effects of New Physics on CP violation in B decays

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  1. Effects of New Physics on CP violation in B decays July 17, 2003 HEP2003, Aachen

  2. Outline • b ⇄ s Phenomena: Current Frontier for NP • Flavor Models w/ 1 Extra CP Phase in b ⇄ s • 4th Generation • Large sR-bR Mixing w/ SUSY: Light Squark • 4th Generation & b → sℓ+ℓ−, DmBs, sin2FBs — Does Not Touch EM/Strong Penguins Much • Light and SfKs,Sh’Ks,DmBs, sin2FBs • Survive b → sg • Tune for SfKs,Sh’Ks Possible • Consequences: DmBs, sin2FBs, wrong g helicity • Conclusion Based on A. Arhrib and WSH, EPJC 27, 555 (2003) A. Arhrib, C.K. Chua and WSH, PRD 65, 017701 (2001) C.K. Chua, WSH and M. Nagashima, to appear George W.S. Hou

  3. b ⇄ s Phenomena: Current NP Frontier • CP Phase sin2FBd≅ 0.8 Agree with CKM Fit • butg/f3 ≅ 60∘ CKM Fit • v.g/f3 ~ 90∘ B →Kp/pp Modes • Although sin2FBd→ h’Ks≅sin2FBd • but sin2FBd→ fKs Opposite Sign !? • b → sℓ+ℓ−>SM? • DmBs“Just Around the Corner” • but if sin2FBs ≠ 0➯ NP • b → sgL ? Wrong Helicity Component? • Test via Bs→ fgMixing-dep CPV • Lb→ LgL Polarization Present (Near) Future George W.S. Hou

  4. Models w/ 1 Extra CP Phase in b ⇄ s • 4th Generation: In general 3 New CP Phases Restrict to b ⇄ s Only: Just One New CP Phase Phase Fs Neglected in Literature ! • Large sR-bR Mixing w/ SUSY: Light Squark Just One New CP Phase Flavor Symmetry ⊕ Supersymmetry • Flavor-driven Light s-b Flavored Squark George W.S. Hou

  5. usual term Satisfies GIM 4th Generation Effect Phase Fs has been Neglected in Literature Formalism ≅ −0.04 ~ 0.0006 Take Hamiltonian for b → sg Parameters George W.S. Hou

  6. Constraints: b →sg,DmBs Expt. dashed: b → sg , solid: DmBs Choose param. ➯ SM Values Fs = p/2, 3p/2 Most Forgiving ∵ Add in quadrature • b → sg, DmBs Complementary • - b → sg Weak mt’ –dep • ➯ Not So Constraining • - DmBs Strong mt’ –dep • ➯ Not Constructive Interf. George W.S. Hou

  7. ~ (0.5−0.8) x 10-6 ~ (0.8−1.7) x 10-6 Less hadronic uncertainty Maybe high vs. NNLO Constraint/Test: b →sℓ+ℓ− Rate EW Penguin has Strong mt’–dep., Just Like Bs Mixing Yet to Settle (a bit high) • More Stringent than DmBs • ➯ Improve Soon ! • Fs ~ p/2, 3p/2 • Allow Larger rs • May be Needed If • NNLO Remains Low • No Further Info in m2(ℓℓ) • Constrained by BR • ➯ AFB ~ SM SM ~ NNLO SM3 George W.S. Hou

  8. rs 250 GeV 0.02 0.01 0.002 • Even for Small rs • sin2FBsCan be Large • Both Signs Possible • Largest IfDmBs • “Just Around Corner” • i.e. when Fs~ p/2, 3p/2 • DmBs Quite Measurable • sin2FBs ~ ± 1 0.005 0.004 0.002 rs 350 GeV The Highlight: Large sin2FBs≠0 • sin2FBdAgree with SM3, but May be Affected by • sin2FBs =0 Strictly in SM3 ➯Any sin2FBs ≠0 Implies NP !! Def. A, B, C are quadratic fns of mt, mt’ Good at Tevatron ! George W.S. Hou

  9. Turn to one that Can But, … 4th Generation Not Effective on EM & Strong Penguins • b → sgaffected only when rs(and mt’) gets large • No MixingCPV because (L) Chirality Same as SM • b → sg* EvenLess Affected • ➯ Cannot TouchSfKs ,Sh’Ksetc. George W.S. Hou

  10. Prominent Light & SfKs ,Sh’Ks ,DmBs, sin2FBs Mass/Mixing Hierarchy 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 George W.S. Hou

  11. Assume Right-handed QuarksInert in SM  Right-handedSquarks SUSY also important RR Sector Impact b ⇄s thru SUSY

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

  13. Survive b → sg Constraint • B → fKs,h’Ks Rates Rates More Conservative Cannot Account of h’Ks Rate fKs Rate also a bit Low But, Not New Problems George W.S. Hou

  14. A Little Note on Formalism … • Besides O1,2Tree • O3-6Strong Penguin • O7-10EM/EW Penguin • alsoO11,12g/g Dipole George W.S. Hou

  15. Tune for SfKs ,Sh’Ks Possible • SfKs≲ 0 prefers lower s-plane • ➯ Sh’Ks≅sin2FBd as well ! • Lower gluino mass lowers SfKs • Hadronic Parameters • CP phase enters B → fKs via • Lower q2, larger • ➯Larger |SfKs | • If B → h’Ksrate due to (SM) • QCD Effect➯Sh’Ksdrops a bit • Could s ≃ 3p/2be it? noticed also by Khalil & Kou Murayama et al. George W.S. Hou

  16. 800 GeV gluino “preferred” • - DmBs ~ 20-40 ps-1“Easy” • - sin2FBs ~ −1 Super • Lighter gluino at 500 GeV • - DmBs > 60ps-1Tougher • - sin2FBs ~ −1 - 0 • For lighter gluino, • periodicity change • ∵ • a-term dominant(two exch.) • 100 GeV ~ 200 GeV case • Except, Direct Detection ! Consequences: DmBs, sin2FBs Take s ≃ 3p/2as example George W.S. Hou

  17. More: Wrong Helicity Photon in b → sgL • Strength of Mixing-dep. CPV • in, e.g. Bs→ f g • Test gL component • (Atwood, Gronau, Soni, 1997) • Can also test gL comp. via • LPolarization in Lb→ Lg • (Mannel, Recksiegel, 1997) All Testable at Tevatron and Beyond George W.S. Hou

  18. Conclusion • Impact of 4th Generation (Emphasized New CP Phase) Prominent in - Bs Mixing & CPV - EW b → sPenguin Mild in EM/Strong Penguin • A Light Flavor-mixed Squark? • Survive b → sg • Can Account for SfKs,Sh’Ks • Strong Impact on: DmBs,sin2FBs,b → sgL ➯ Study at B Factories, Tevatron, and … George W.S. Hou

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