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New Physics CP Violation in b → s Transitions — From Hints to Proof —

New Physics CP Violation in b → s Transitions — From Hints to Proof —. March 9 2008, XLIII Moriond QCD @ La Thuile. 4th Generation. and Large. New Physics b → s CPV. I. Intro: BAU ➯ Need New Physics CPV II. Hints in b → s * * vs

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New Physics CP Violation in b → s Transitions — From Hints to Proof —

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  1. New Physics CP Violation in b → s Transitions — From Hints to Proof — March 9 2008, XLIII Moriond QCD@ La Thuile

  2. 4th Generation and Large New Physics b → s CPV I. Intro: BAU ➯ Need New Physics CPV II. Hints in b → s * * vs III.New Large Yukawa Couplings: CPV in and * kaon constraint * refinement

  3. 4th Generation and Large New Physics b → s CPV I. Intro: BAU ➯ Need New Physics CPV II. Hints in b → s * * vs III.New Large Yukawa Couplings: CPV in and * kaon constraint * refinement IV. Proof: (near) Future * @ Tevatron & LHC(b) * BAU from Electroweak Baryogenesis V. Discussion and Conclusion and (distant) Past

  4. I. Intro: BAU ➯ Need New Physics CPV WMAP Too Small in SM

  5. II. Hints in b → s vs

  6. +0.0500.025 -0.0970.012 ? A lot of (hadronic) finesse d p0 _ d b s B- K- u u +0.1470.028> 5s Experiment is Firm Why aPuzzle ? DAKp~ 0 expected Large C ? Large EWPenguin? Baek, London, PLB653, 249 (2007) Need NP CPV Phase PEW has practically no weak phase in SM t, ?

  7. vs Situation Stone talk Haas & Kronfeld talks Likely larger (?) Likely Higher Observation: weak phase Desirable Low-ish ? Must Measure CPV Phase in Bs: sin2FBs ! NP Phase easy to accommodate

  8. III.New Large Yukawa Couplings: CPV in and 4th Generation Predict Large and < 0 〈* kaon constraint〉 * refinement

  9. GIM, charm,K small ’K, K  pnn (still waiting) heavy top, sin2f1/b Bs Z dominance for heavy top 1986  2002 All w/ 3-gen., Just wait if there’s 4th D ! b’, t’ @ LHC On Boxes and Z Penguins Nondecoupling ∵ Large Yukawa t, t’

  10. d p0 _ d t, t’ b s B- K- u u NLO PQCD ⊕ 4th Gen. WSH, Li, Mishima, Nagashima, PRL’07 DA 15% DS  -0.11 vs -0.340.2x (data) SM3 input DS DA Both and in Right Direction ! DA= AK+p0-AK+p- ~ 15% and LO PQCD ⊕ 4th Gen. WSH, Nagashima, Soddu, PRL’05 DA 12% vs 15% (data) Joining C & PEW

  11. sin2FBs ~ -0.5 - -0.7 Despite DmBs, B(bsll) SM-like WSH, Nagashima, Soddu, PRL’05 Large CPV in Bs Mixing WSH, Nagashima, Soddu, PRD’07 SM (high) rsb Bs Mixing Measured @ Tevatron in 4/2006 • Fixed rsb➯ Narrow fsb Range • destructive with top • For rsb ~ 0.02 – 0.03, [Vcb ~ 0.04 • fsb Range ~ 60°-70° CDF2srange FiniteCPV Phase ?

  12. Large CPV in Bs Mixing WSH, Nagashima, Soddu, PRD’07 SM (high) rsb DAKp, DS CDF2srange Can Large CPV in Bs Mixing Be Measured @ Tevatron ? Sign Predicted ! Sure thing by LHCb ca. 2009 sin2FBs ~ -0.5 --0.7 ? Despite DmBs, B(bsll) SM-like WSH, Nagashima, Soddu, PRL’05

  13. ~ SM3 Strength and Size of b → d “Triangle” andb → s Quadrangle b → s ( ) negligible b → s Quadrangle (almost Triangle) Area ~ (-)30x b → d Triangle

  14. IV. Proof: (near) Future and (distant) Past * @ Tevatron & LHC(b) * BAU from Electroweak Baryogenesis Talks by Weber & Hicheur (tomorrow) “Evidence” (?) last week: UTfit on Bs arXiv:0803.0659 [hep-ph]

  15. LHCb : 0.5 fb-1 (2008 ?) • s(sin2FBs) ≃ 0.04 • ATLAS : 2.5 fb-1 (2008 ?) • s(sin2FBs) ≃ 0.16 • CMS ? €LHCb the winner if ~ SM $ Tevatron could get lucky ifsin2FBslargeNew Physics ! sin2FBs ~ -0.04in SM But 2009 looks interesting ! Could Tevatron run beyond 2008 ? FBsProspect (short term) sin2FBs ~ -0.5 --0.7 Bs J/ analogous toBdJ/KS VV Angular & Vertex Resolved Analysis to disentangle CP +/- components ~ 6 • CDF/DØ: 8 fb-1 projected • s(sin2FBs) ≃ 0.2 (?)/exp • similar Nakada @ fLHC 3/07

  16. Normalize by T ~ 100 GeV in SM is common (unique) area of triangle B.A.U. from Electroweak Baryogenesis? CPV Too Small in SM WMAP Why? Jarlskog Invariant in SM3 (need 3 generation in KM) masses too small !

  17. Only fac. 30 in CPV per se B.A.U. from Electroweak Baryogenesis? CPV Too Small in SM WMAP If shift by One Generation in SM4(need 3 generation in KM) ~ 10+15 Gain Gain mostly in Large Yukawa Couplings !

  18. Carena, Megevand, Quirós, Wagner, NPB’05 • Fermion • Couple Strongly to Higgs Can “Boil” Higgs Soup • mF/T Not small Cannot use above m/T expansion • Not too large Does not decouple too early Upshot: relativistic d.o.f. g* become g*(f), effective reheating by F decoupling around Tc Stronger Transition B.A.U. from Electroweak Baryogenesis? Order of Phase Transition Too much equlibration in SM washes away B.A. at high T Cubic term too small Extra Heavy Bosons (usual approach)

  19. Fermion • Couple Strongly to Higgs Can “Boil” Higgs Soup • mF/T Not small Cannot use above m/T expansion • Not too large Does not decouple too early Upshot: relativistic d.o.f. g* become g*(f), effective reheating by F decoupling around Tc Stronger Transition B.A.U. from Electroweak Baryogenesis? Order of Phase Transition Observation: ∃ 4th Generation, then t < b’ < t’ ~ 300 GeV may be sufficient for ?! If numerics of CMQW can be used Used Higgsino/Wino Model w/ 12 d.o.f. l> 2.1 Comment that top (also 12 d.o.f.) w/ l≅ 1 is too small Carena, Megevand, Quirós, Wagner, NPB’05

  20. B.A.U. from Electroweak Baryogenesis? CPV Order of Phase Transition Can 4th Generation Restore Electroweak Baryogenesis ? Can we use this to Demand to see NP b → s CPV ?

  21. V. Discussion and Conclusion • 4thgeneration not in such great conflict with EWPrT • Kribs, Plehn, Spannowsky, Tait, PRD’07 • Issue of “UV completion” for EWBG picture (vacuum stability) • Heavy 4th generation above 600 GeV (unitarity limit) • could lead to EWSB No Higgs ? Holdom, JHEP’06 • t’ & b’ can be discovered at LHC !

  22. and Large Conclusion on New Physics b → s CPV I. Intro: BAU ➯ Need New Physics CPV II. Hints in b → s * * vs III.New Large Yukawa Couplings: CPV in and * kaon constraint * refinement IV. Proof: (near) Future * @ Tevatron & LHC(b) * BAU from Electroweak Baryogenesis Experiment is Firm 4th Generation and (distant) Past Soon !

  23. Backup

  24. Smaller than bgccs in almost all modes Theory Expect sin2f1 > sin2f1 s-penguin cc(bar)s DS = Ssqq- Sccs< 0 “Problem” Probably Need Super B Factory to Resolve ! Naïve average of all b g s modes sin2beff = 0.56 ± 0.05 2.1s deviation (was 2.6)btwn b g sqq and b g ccs New Physics !? Even deviation of ~ few deg indicate NP Need More Data ! Sinha, Misra, WSH, PRL 97, 131802 (2006)

  25. _ Z  bb b  d x ~ 0.22 Digression4 x 4 Unitarity ➯ Z/K Constraints “Typical” CKM Matrix WSH, Nagashima, Soddu, PRD’05 s b d s Satisfy b  d: ✓ Cannot tell triangle from quadrangle b  s

  26. Consistency and b  sg Predictions PDG ’06 SM3 SM3 BR OK ACP ~ 0 far away beyond SuperB Heavy t’ effect decoupled for b  sg

  27. Short-distance Only PDG06 310 270 From 4 x 4 Unitarity mb’ = 230 GeV x = Dm/G ~ 1 - 3 plausible w/ Sizable (but not huge) CPV in Mixing ~ -15% N.B. SM LD could generate y ~ 1, x ≈ y [Falk, Grossman, Ligeti, (Nir,) Petrov]

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