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NEUTRINO SEESAW AND CP VIOLATION FROM DYNAMICAL ELECTROWEAK SYMMETRY BREAKING

NEUTRINO SEESAW AND CP VIOLATION FROM DYNAMICAL ELECTROWEAK SYMMETRY BREAKING. Introduction UV Complete Model(s) Seesaw CP Violation. R. Shrock M. Piai T. A. DYNAMICAL ELECTROWEAK SYMMETRY BREAKING (TECHNICOLOR). New strong interactions at 1 TeV SU(N) TC  TC  300 GeV

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NEUTRINO SEESAW AND CP VIOLATION FROM DYNAMICAL ELECTROWEAK SYMMETRY BREAKING

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  1. NEUTRINO SEESAWAND CP VIOLATIONFROMDYNAMICAL ELECTROWEAKSYMMETRY BREAKING • Introduction • UV Complete Model(s) • Seesaw • CP Violation R. Shrock M. Piai T. A.

  2. DYNAMICAL ELECTROWEAK SYMMETRY BREAKING(TECHNICOLOR) New strong interactions at 1 TeV SU(N)TC TC  300 GeV W, Z0 = Composite Nambu-Goldstone bosons New TeV-Scale Physics (Higgsless)

  3. QUARK AND CHARGEDLEPTON MASSES(EXTENDED TECHNICOLOR) UR4 UR5 uR cR tR                SU(2)TC SU(5)ETC 12 3  103Tev  102 Tev  Few TeV  SU(3)c  SU(2)L  U(1)Y

  4. CONVENTIONAL FERMIONMASS FORMULA i uiL ULUR  uiR SU(2)TC walking ( conformal) up to 3

  5. CHALLENGES • Precision Electroweak • S, T (SU(2)TC) • Z0→ PSA ph/0308061 • (2) Flavor-Changing Neutral Processes • Walking allows large ETC scales • (3) Complete Theory? • Ingredients to break ETC →TC • Intra-Family mass splittings • Flavor Mixing • CP Violation • Neutrino Mass

  6. TYPICAL MODEL(Evolved from Terning & TA 1994) SU(5)ETC SU(2)HC  SM qL( 5 , 1 ) uR( 5 , 1 ) dR( 5 , 1 ) lL( 5 , 1 ) eR( 5 , 1 ) R(R,…) ( 10 , 1 ) SM Singlet ( 10 , 2 ) ( 1 , 2 )   SM Singlets ● Chiral ETC Theory ● Free of Gauge Anomalies

  7. X X = X IT “WORKS” Attractive ETC & HC Forces plausibly give: SU(5)ETC  SU(4)ETC  SU(3)ETC  SU(2)TC 1  1000 TeV  2  100 TeV  3  Few TeV   ETC Masses, Mixings and Phases

  8. Up-quark Diagonal ● Conventional Realistic Up-quark Off-diagonal ● Suppressed X Down-quark and Charged leptons, Diagonal and Off-diagonal ● Suppressed X QUARK AND CHARGEDLEPTON MASS MATRICES X X ●Neutrinos ● Mixing angles = ratios of ’s ● Phases Notyetfullyrealistic

  9. EFFECTIVE THEORYBELOW TC LEFF= Standard Model Interactions (No Higgs) + Dimension-3 mass terms (matrices) for quarks, charged leptons, neutrinos + Dimension-5 and higher operators – suppressed (e.g., dipoles) + 3 PNGB’s ! CP violating Phases (Spontaneous)

  10. GLOBAL SYMMETRIESAND PNGB’s 1 Combination (U(1)B) exact 1 Combination broken explicitly by ETC instantons 1 Combination (U(1)Y)→ZOL 3 NGB’s

  11. A DYNAMICAL SEE-SAW e   PIERRE-FEST

  12.  at 1000 TeV E < TC NEUTRINOS

  13. X X SMALL MD (~ 10 KeV) FAIRLY BIG MR (~ 100 GeV) X X

  14. QUARK MASSMATRICES f = up: Hermitian f = down: General Complex ● Diagonalizing, (Real, Positive Diagonal) q=(u,c,t), (d,s,b) † ● With

  15. ●  QUARK DIPOLE MATRICES(DIMENSION-5 OPERATORS)(ALSO CHARGED LEPTONS) →Mass eigenstate basis (off-diagonal, complex) ● Quark EDM

  16. ≤ min (j, k) ● ETC Dipole-Mass Relation ● From Lowest Scale, 3 jk  3

  17. STRONG CPPROBLEM • Rotate in underlying (massless) theory • Suppose M(u) Hermitian • 1 NGB = Peccei-Quinn Axion • But Ruled Out Possibilities: (2) Find a Hermitian M(d)? (Nelson-Barr)

  18. QUARK EDM’S& CHROMO-EDM’S Take O(1) ●199Hg EDM Bound Reasonable Restriction on ETC Model Building

  19. OTHER DIMENSION-5QUANTITIES ● QUARKS B→Xs Re(′/ ) With O(1) phases, small but “reasonable” limits on mixing angles ● CHARGED LEPTONS Electron EDM  → e Muon g-2 Branching Ratio Asymmetry With O(1) phases, small but “reasonable” limits on mixing angles → Restriction on ETC Model Building → Measured large mixing angles 23 + 12 in neutrino oscillations come from the neutrino (SM-singlet?) sector

  20. SUMMARY (1) ETC Models (UV-complete) exist with ETC Breaking Ingredients Generational Hierarchy Flavor Mixing Intra-Family Splittings Neutrino See-Saw CP-Violation (2) Phenomenology Dimension-5 Dipole Operators → “Reasonable” Limits on Mixing Angles Dimension-6 Operators: Neutral, Flavor-Changing (3) Problems Not Yet Fully Realistic A Few Unacceptable NGB’s Strong-CP Problem (4) Needed New Interactions at E  1000 TeV (Pati-Salam Unification) (5) CP Violating Phases Flavor-Violating Phases - Computable (Yang Bai) Strong CP Phase?

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