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CP Violation for the Heaven and the Earth. — Sighting the 4th Generation ?. February 13, 2009 , WG4/LHC2FC @ CERN. Can all this be understood from my vantage ?. CP Violation for the Heaven and the Earth. — Sighting the 4th Generation ?. February 6, 2009 , Wine & Cheese Seminar, Fermilab.
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CP Violation for the Heaven and the Earth — Sighting the 4th Generation? February 13, 2009, WG4/LHC2FC @ CERN
Can all this be understood from my vantage?
CP Violation for the Heaven and the Earth — Sighting the 4th Generation? February 6, 2009, Wine & Cheese Seminar, Fermilab see: http://theory.fnal.gov/jetp/
Outline I. Intro II. DAKp& Nondecoupling: t’ in Z Penguin III. DmBs & B(BXsℓ+ℓ-): 2nd Prediction for sin2FBs [CKM Consistency & Implications IV. A 1013+ Enhancement of CPV for BAU? [V. (In)Direct Sighting: Tevatron vs LHC] VI. Discussion/Conclusion: Know in 3-5 Years 1st Prediction forsin2FBs WSH, Nagashima, Soddu, PRL’05; PRD’05; PRD’07; PRD’08 Belle, Nature, 452, 20 (2008) WSH, arXiv:0803.1234 [hep/ph]
4th Generation Still? - Nn counting? 4th “neutral lepton” heavy Massive neutrinos call for new Physics - Disfavored by EW Precision (see e.g. J. Erler hep-ph/0604035; PDG06 Friday the 13th (before Valentines!!) Punishment !
4thgeneration not in such great conflict with EWPrT • Kribs, Plehn, Spannowsky, Tait, PRD’07 4th Generation Still? - Nn counting? 4th “neutral lepton” heavy Massive neutrinos call for new Physics ~ Tao Han’s talk - Disfavored by EW Precision (see e.g. J. Erler hep-ph/0604035; PDG06 Emi Kou’s talk
In fact, well presented ! General: Emi Kou (plenary) [Heavy Lepton: Tao Han (plenary); could be related ATLAS: Saleh Sultansoy (also on Higgs in WG1) CMS: Kai-Feng Chen CPV: this talk
(1967) CPV & BAU (& U): The Sakharov View • Baryon Number V iolation • CP Violation • Deviation from Equilibrium 10-9Matterleft! 13Byr Bang Us Pair Annihilation ( Cosmic Microwave Background ) Equal Matter -Antimatter
Sakharov Stimulated by ... Phys. Rev. Lett. 13, 138 (1964) Discovery of CP Violation 1980 Nobel
KM CPV Confirmed ~ 2001 the MOMA plot “Nontrivial”
The Nobel Prize in Physics 2008 "for the discovery of the origin of the broken symmetry which predicts the existence of at least three families of quarks in nature" "for the discovery of the mechanism of spontaneous broken symmetry in subatomic physics" CPViolation in SM 7 October 2008 B Factories (BaBar & Belle)
b d transitions consistent with SM b s:the Current Frontier the MOMA plot “Nontrivial”
A Real Hint ! , ... or Not !?
II. DAKp & Nondecoupling: t’ in Z Penguin 1st Prediction forsin2FBs
Belle 2008 Nature: Simple Bean Count DAKp =AK+p0-AK+p-=+0.1640.037 4.4s +0.070.03vs-0.0940.020 b → s CPV Not Predicted ! Difference Is Large ! And Established Belle + BaBar (+ CDF)
275M BB New Saga Towards Belle Nature Paper ... ACP(B K+p0 ) Sakai Kp0 : 728 53 ACP(Kp0) = 0.04 0.05 0.02 hint thatACP(K+p- ) ¹ACP(Kp0 ) ? (2.4s) [also seen by BaBar] d p0 Large EW penguin (Z0) ? New Physics ? _ d B- b s K- u u ICHEP 2004, Beijing
d p0 _ d B- b s K- u u The Crawlin’ of one Ant Going Up a Hill ...
My first B paper WSH, Willey, Soni dimensions < nondecoupling
Nondecoupling Decoupling Thm: Heavy Masses are decoupled in QED/QCD ∵Appear in Propagator Nondecoupling: Yukawa CouplingslQAppear in Numerator dynamical Subtlety of Spont. Broken Gauge Theory
d p0 _ d B- b s K- u u The Crawlin’ of one Ant ,t’ Embark Going Up a Hill* ... * I am aware of hadronic (color-suppressed C) complications
d p0 _ d B- b s K- u u GIM Respecting Arhrib and WSH, EPJC’03 t➯t, t’ ,t’ Nondecoupling of t’ CPV Phase ,t’
EWP/Box Sensitivity to 4th Gen. g, g less sensitive (No New Operators) EW penguin QCD penguin nondecoupling
d p0 _ d B- b s K- u u ,t’ ,t’ DA= AK+p0-AK+p- ~ 15% and LO PQCD ⊕ 4th Gen. WSH, Nagashima, Soddu, PRL’05 DA 12% vs 15% (data)
d p0 _ d t, t’ b s B- K- u u NLO PQCD ⊕ 4th Gen. Joining C & PEW DA 15% DS -0.11 consistent with 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) Can Account for Belle/BaBar Direct CPV Difference WSH, Li, Mishima, Nagashima, PRL’07
b ↔ s CPV III. DmBs & B(BXsℓ+ℓ-): 2nd Prediction for sin2FBs
Measured by Belle/BaBar in Bd J/yKS Mixing-dep. CPV in Bd and Bs in SM b → d b → s sin2FBs≃– 0.04 in SM3 Measure in Bs J/yf
Despite DmBs, B(bsll) SM-like Strength and Size of WSH, Nagashima, Soddu, PRD’07 Prediction: Large CPV in Bs Mixing b → d b → s t, t ’ t, t ’ sin2FBs ~ -0.5 to -0.7 No Hadronic Uncertainty ... -0.04 SM PRL’05
Bs Mixing vsB Xsℓ+ℓ- different nondecoupl. functions Large CPV in Bs Mixing
Use nominal mt’ = 300 GeV Change mt’ , Change parameter range Effect the Same. (Similar) N.B. DAKpsuggest parameter space
WSH, Nagashima, Soddu, hep-ph/0610385 (PRD’07) SM (high) rsb • Fixed rsb➯ Narrow fsb Range • destructive with top • For rsb ~ 0.02 – 0.03, [Vcb ~ 0.04 • fsb Range ~ 60°-70° CDF2srange FiniteCPV Phase Consistent w/ B(bsll) SM-like ! HFAG 1srange Large CPV Possible ! Despite DmBs, B(bsll) SM-like
WSH, Nagashima, Soddu, hep-ph/0610385 (PRD’07) SM (high) rsb • Fixed rsb➯ Narrow fsb Range • destructive with top • For rsb ~ 0.02 – 0.03, [Vcb ~ 0.04 • fsb Range ~ 60°-70° CDF2srange FiniteCPV Phase Consistent w/ B(bsll) SM-like ! HFAG 1srange Large CPV Possible ! Despite DmBs, B(bsll) SM-like
Despite DmBs, B(bsll) SM-like WSH, Nagashima, Soddu, PRL’05 Prediction: 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 sin2FBs ~ -0.5 - -0.7 ? -0.04 SM
Prediction: 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 ? Sure thing by LHCb ca. 2010 (?) Sign Predicted ! sin2FBs ~ -0.5 - -0.7 ? -0.04 SM Despite DmBs, B(bsll) SM-like WSH, Nagashima, Soddu, PRL’05
sin2FBs~ -0.5 --0.7 WSH, Nagashima, Soddu, PRD’07 arXiv:0712.2397 [hep.ex] arXiv:0802.2255 [hep.ex] 3.7s +0.16 -0.14 sin2FBs=-0.64 UTfit arXiv:0803.0659 [hep.ph] (already in 05) PRL’08 PRL’08 Further ICHEP’08 Updates (CDF/DØ/fitters): Strengthen ! ~2.8s ± ? Incredible !!!
sin2FBs =-sinbs=sinfs (Conservative) outlook % of CDF ‘clones’ that would observe a 5σ-effect, as a function of βs • Assumptions • ΔΓs = 0.1 ps-1 • Constant data-taking efficiency • No analysis improvements. • No external constraints (ASL, lifetimes) used. Observationw/ 2010 Data if Central Value Stays ! Probability of 5σ observation CDF future will probably be better than that. And DØwill contribute too. βs --- 8/fb (~2010) --- 6/fb (~2009) D. Tonelli- Fermilab
_ Z bb b d x ~ 0.22 4 x 4 Unitarity ➯Z/K Constraints “Typical” CKM Matrix WSH, Nagashima, Soddu, PRD’05 Extract Information from Constraints s b d s Nontrivial Satisfy b d: ✓ Cannot tell triangle from quadrangle b s
AFB(B K*l+l-) and Other Predictions sent to Backup
W.-S. Hou, A. Hovhannisyan, and N. Mahajan, PRD 77, 014016 (2008) complex wilson coefficients SM 4th generation (SM4) 2fb-1 MC study of LHCb (~7000 K*ll events) (=s/mB2=q2/mB2) Instead flipped C7 ... Belle 657M arXiv:0810.0335 Preliminary 386M BABAR, arXiv:0804.4412 Deviation from SM3!? SM4 SM3
IV. A 1013+ Enhancement of CPV for BAU? If ... KM4
Normalize by T ~ 100 GeV in SM is common (unique) area of triangle The Abyss: CPV in KMand B.A.U. The Lore WMAP Too Small in SM Jarlskog Invariant in SM3 (need 3 generation in KM) EW Phase Transition Temperature Masses too Small! ~ v.e.v. CPV Phase Small, but not Toosmall
in SM Order 1 ~ 30 CPV Phase B.A.U. fromCPV in KM? Enough CPV? WMAP Too Small in SM If shift by One Generation in SM4(need 3 generation in KM) Providence WSH, arXiv:0803.1234 [hep/ph] ~ 10+15 Gain Nature would likely use this !? Gain mostly in Large Yukawa Couplings !
The Abyss between CPV in SM3 vs BAU bridged in SM4 by Heaviness of t’and b’ Why wasn’t this clearly pointed out in past 20 years?
b → d b → s Only fac. 30 in CPV per se 10+15 Gain mostly in Large Yukawa Couplings ! quadrangle from comprehensive study WSH, Nagashima, Soddu, PRD05 ~ 10+15 Gain 10+13 This part will shrink a bit.
V.Direct Sighting @ Tevatron vs LHC the Experimentalist
LHC • sin2FBs “Confirmation” — “Easy” for LHCb • b’, t’ Discovery —Straightforward/full terrain Tevatron/LHC Verification Unequivocal BSM ... if true Tevatron • sin2FBs “Evidence” by 2009 ? • “Observe” by 2010 ? • t’ Search Ongoing: • mt’ > 311 GeV @ 95% CL But when ? Glimpse of agenda at ATLAS/CMS previous 2 talks