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Heavy Quarks, the Origin of Mass , and CP Violation for the Universe

Heavy Quarks, the Origin of Mass , and CP Violation for the Universe. March 7, 2013, Time and Matter @ Venice. Heavy Quarks, Origin of Mass, and CPV for Universe. I . Intro: the Truth about New Higgs -like Boson * 4 G–DEWSB & Dilaton

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Heavy Quarks, the Origin of Mass , and CP Violation for the Universe

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  1. Heavy Quarks, the Origin of Mass, and CPViolation for the Universe March 7, 2013, Time and Matter@ Venice

  2. Heavy Quarks, Origin of Mass, and CPV for Universe I. Intro: the Truth about New Higgs-like Boson * 4G–DEWSB & Dilaton - Conventional Wisdom - Why not Vector-like - Limits/UBV * mFvs mV * “Prior”vsExpt’l Measure - Complex Reality of Yukawa II. Preludes to Gap Equation from Strong Yukawa III. “Bootstrap” Gap Equation & Numerical Solution Bonus: CPV4BAU New Pheno: QQ ➙nVL VI. Discussion & Conclusion Phase transition? p-N w/o QCD? True Holy Grail 16 2015+ VBF/VH Test 4 4 1 1 1

  3. This talk is about Dynamical EWSB, induced by strong Yukawa coupling of Heavy Chiral (hence 4th gen.) Quarks. fortuitous • The observed 126 GeV boson would have to be • a Dilaton.* *If I need to bet real money, it would still go to “the Higgs”.

  4. Conventional Wisdom Michael Peskin (SLAC), Summary of LP11, Mumbai, 8/2011 CMS stated this a month earlier ... Became dire with July 4th Announcement CMS actually announced at EPS-HEP11, 7/2011 t gg→ H ~ (1 + 1 + 1)2 enhanced p. 101

  5. PostMortem ... Alex Pomarol @ ICHEP2012 Riccardo Barbieri 4G included

  6. PostMortem ...;or (future) Resurrection Alex Pomarol @ ICHEP2012 4G included ~ Radion Wells

  7. But it’s hard to believewe are seeing a Dilaton “just now” ... depression: Jun - Nov

  8. Search for “Vector-like” Quarks at LHC Lead by my group ongoing “Exclude triangles, not points”, Peskin slogan, 3/2012 Peskin, LP’11, pp. 113-114 pre-date Peskin Actually, I don’t like cancellation mechanisms; I prefer proactiveover “anti-negative campaign”. Need for cancellation symptomatic of hierarchy problem: mH sensitivity to rad. corr. But this study has to be done.

  9. Direct Search for “4G” at LHC ATLAS as well “Lead” by my group mQ≳ 700 GeV Greater than Unitarity Bound ~ 550 GeV!

  10. The “God” Particle: the Origin of Mass What is Sequential 4G?

  11. The “God” Particle: the Origin of Mass lF:Yukawa Coupling unintended or intended? mF~lFυ unbroken “Us” massless ~ 80 – 90 GeV ! g gauge coupling mV~gυ

  12. 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" "for the discovery of the mechanism of spontaneous broken symmetry in subatomic physics" CPViolation in SM SSB Confirmation of KM ➙Complex Reality of Yukawa Couplings lF n.b. Higgs boson never enters.

  13. the Truth about New Higgs-like Boson dominant clean, but small Production & Decay: Complicated Processes more, but more BG de Boer & Mikuz talks

  14. H → ZZ* →ee{mm} Candidate Events Leading Processes H →gg

  15. Summary by Michelangelo Mangano @ HCP 2012, Kyoto, 11/2012 December MASS !?

  16. Summary by Michelangelo Mangano @ HCP 2012, Kyoto, 11/2012 December • ggmode > SM • no convincing evidence • for VBF (Vector Boson Fusion) • or VH (Higgsstrahlung off V), • e.g. fermion/gg modes MASS !? Conclusion not ruled out by today’s talks (Moriond EW) DilatonNot Ruled Out! Coupling weaker by υ /F, except to gg & gg

  17. H → ZZ* →ee{mm} Leading Processes H →gg

  18. Which is “Real”? “Prior” vsExperimental Measurement Verify Higgs, or Rule Out Dilaton Not beyond doubt before 2015. 13 TeV run start

  19. II.Preludes to Gap Equation from Strong Yukawa “Pairing” (Nambu) Path towards Dynamical EWSB

  20. Thoughts on the other 1/2 Nobel Prize "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" SSB Could EWSB be due to b’ and t’ above unitarity bound ~ 500-600 GeV ? Bob Holdom: N–J-L [Bardeen, Hill, Lindner Gustavo Burdman: “Holographic” 4th gen. Have been pondering this since 2008, and major progress first half 2012!

  21. ever heard of BCS Higgs?

  22. Path Towards a Gap Equation I re-entered 4G study, since 2004, due to flavor/CPV [CPV-4-BAU] Since 2006-7, start to think about Physics at CMS/LHC ➜ Set-up 4G quark search as program for NTU CMS group(influenced, e.g. Francois) Since 2008, as bounds rose (Tev↷ LHC), re-learned Yukawa-induced condensate Holdom’06 _ Nambu’s prize in 10/2008 made me think QQ condensation is NJL-like Puzzled: (ca. 2009) Intuitively saw 4q operator Scattering (UBV) As mQ rose, mQ/mW increased; the scattering that sets the Unitarity Bound is a “long distance” effect Not quite NJL-like. lQ Associated with left-handed gauge coupling: ~ “long-distance” (vs1/mQ) Yukawa Coupling of Goldstone Mode Expt’lly Established, Independent of Higgs BosonExistence Of course, leading UBV occurs for G in s-channel (but this is repulsive).

  23. Gap Equation _ Unitarity Bound, QQ Scattering self-energy Scattering (UBV) lQ Self Energy ~ “long-distance” (vs1/mQ) 1-2-3 TeV lQ summer 2011:No New Physics summer 2010, while discussing w/ Felipe Llanes-Estrada Gap Equation? Summing over large range of exchange momentumq q2 WSH, ICHEP2010; & arXiv:1201.6029 (Chin. J. Phys., 6/2012) lQ

  24. lQ Large lQthrough masslessG generates mQ, but in turns assures G as Goldstone III.“Bootstrap” Gap Equation & Numerical Solution ➙ backup * Strong Scale-inv. QED (example) * Yukawa “Bootstrap” q2 Mimura, WSH, Kohyama, arXiv:1201.6029

  25. Gap Equation:Yukawa“Bootstrap” Gap equation for large Yukawa in the ladder approx. w/ m0 = 0 (and neglect gauge couplings) Self-energy momentum-dep. (gauge inv.) G lQ w.fn. renorm “Mass” = B/A Drop Higgs for now; return later.

  26. Gap Equation:Yukawa“Bootstrap” So, scale invariance Higgs or not, absorbed in We find, numerically, ~ 1.4 ➜ ➜ ! !

  27. But the Bootstrap Gap Eq. is nominally Scale-Inv. (no scale, m0 = 0) ! Dynamical Mass Generation also means Breaking of Scale Invariance. So, what about 126GeV boson?Has to be Dilaton! 4G (chiral Q) seemingly bites the dust, again ... (not that it did not happen before) My first reaction: Hard to believe we are seeing a Dilaton“just now ”... Used in aid of numerical solution. What is the true source of Scale Breaking? • Need Theory • oflQ Could there be a Dilaton? (Radion via AdS/CFT or warped) Goldberger, Grinstein, Skiba, ’08 Barger, Ishida, Keung, ’12 Cheung, Yuan, ’12 Campbell, Ellis, Olive, ’12 Grzadkowski, Gunion, Toharia, ’12 Coleppa, Gregroire, Logan, ’12 Matsuzaki, Yamawaki, ’12; 7/12; 9/12etc. Elander, Piai, 8/12 LHCP Even after HCP Chacko, Franceschini, Mishra, 9/12 “holographic techni-dilaton gives as good a fit as SM Higgs” Not Yet Ruled Out Treat 3 parameters a = υ/F, cg, cg N.B. We did not touch UV ... (our whole development is empirical) N.B. 4G ➙ 2HDM? Perhaps, but 1) Why h0 light; 2) Gap Eq. not applicable

  28. Gap Equation:Yukawa“Bootstrap” Gap equation for large Yukawa intheladder approx. w/ m0 = 0 (and neglect gauge couplings) Self-energy momentum-dep. (gauge inv.) G lQ w.fn. renorm “Mass” = B/A Dropped “Higgs”; if dilaton, υ2/F2 suppressed. ➜self-consistent

  29. IV.Bonus: CPV4BAU Intro by Masiero; Sarkar (DM!) talks

  30. 1 ≲< 10 Jarlskog Invariant&4G Magic Jarlskog Invariant 1-2-3 Providence WSH, arXiv:0803.1234 [hep/ph] 2-3-4 CJP47(2009)134 >10+15 Nature Would Use It !? CPViolation w/sparechange? Main Enhancement! Thought came ’07 while fighting Belle “Nature”

  31. V.New Pheno: QQ ➙nVL

  32. Possible Phenomenology: QQ →nVL ➨ Boundstate may help lQ An Intriguing Analogy ? Example data WSH, PRD’2012 [arXiv:1206.1453]

  33. VI. Discussion and Conclusion * “p-N” w/o QCD Briefly thought could recover Fermi-Yang model ... But Nature chose many hadronic resonances below 2mN... ➙ QCD & stringy resonances Do we have a second chance w/ Pure Yukawa ? No Res./Th. Yet ! * Phase Transition Issue (3rd Sakharov Condition) Problem in SM w/ Higgs not light enough ... But this is perturbative picture ➙ Can Strong/Nonpert. Yukawa Do It ? Solve Gap Eq. at finite T! Conclusion: 4G–DEWSB w/ Dilaton Messenger from UV!? True Holy Grail: Agent of EWSB & Origin of Mass [CPV Baryogenesis] Let’s wait for Nature to unveil herself !

  34. Gap Equation: Strong Scale-invariant QED by hand Gap equation for QED in the ladder approx. w/ m0 = 0 Self-energy momentum-dep. w.fn. renorm

  35. Gap Equation: Strong Scale-invariant QED Set up Notation Gap equation for QED in the ladder approx. w/ m0 = 0 Self-energy momentum-dep. w.fn. renorm “Mass” = B/A angular integration Wick rotation Simplification follow Fukuda−Kugo

  36. Gap Equation: Strong Scale-invariant QED noting plus B.C.: Miransky scaling ... ?

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