1 NEUTRINO SEESAW AND CP VIOLATION FROM DYNAMICAL ELECTROWEAK SYMMETRY BREAKING 1.Introduction 2.UV Complete Model(s) 3.Seesaw 4.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 , Z 0 = Composite Nambu-Goldstone bosons ● New TeV-Scale Physics (Higgsless)

3 QUARK AND CHARGED LEPTON MASSES (EXTENDED TECHNICOLOR) SU(2) TC SU(5) ETC uR cRtRuR cRtR U R4 U R5       1  2  3  10 3 Tev  10 2 Tev  Few TeV  SU(3) c  SU(2) L  U(1) Y

4 CONVENTIONAL FERMION MASS FORMULA ii u iL  U L U R  u iR SU(2) TC  walking (  conformal) up to  3

5 CHALLENGES (1) Precision Electroweak S, T(SU(2) TC ) Z 0 → PSA ph/ (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 q L ( 5, 1) u R ( 5, 1) d R ( 5, 1) l L ( 5, 1) e R ( 5, 1)  R ( R,…)(10, 1) SM Singlet (10, 2) ( 1, 2)  SM Singlets ● Chiral ETC Theory ● Free of Gauge Anomalies

7 IT “WORKS” 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 Attractive ETC & HC Forces plausibly give: X X X =

8 QUARK AND CHARGED LEPTON MASS MATRICES ● Mixing angles = ratios of  ’s ● Phases Not yet fully realistic X X Up-quark Diagonal ConventionalRealistic Suppressed Up-quark Off-diagonal Down-quark and Charged leptons, Diagonal and Off-diagonal X X ● ● ● ● Neutrinos

9 EFFECTIVE THEORY BELOW  TC L EFF = 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 SYMMETRIES AND PNGB’s 1 Combination (U(1) B ) exact 1 Combination broken explicitly by ETC instantons 1 Combination (U(1) Y ) →Z OL 3 NGB’s

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

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

13 SMALL M D (~ 10 KeV) FAIRLY BIG M R (~ 100 GeV) X X X X

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

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

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

17 STRONG CP PROBLEM ● Rotate in underlying (massless) theory ● Suppose M (u) Hermitian ● 1 N G B = Peccei-Quinn Axion But Ruled Out (2) Find a Hermitian M (d) ? (Nelson-Barr) Possibilities:

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

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

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?