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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.
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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)
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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
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4 CONVENTIONAL FERMION MASS FORMULA ii u iL U L U R u iR SU(2) TC walking ( conformal) up to 3
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5 CHALLENGES (1) Precision Electroweak S, T(SU(2) TC ) Z 0 → 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
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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
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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 =
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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
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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)
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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
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11 PIERRE-FEST A DYNAMICAL SEE-SAW e
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12 NEUTRINOS at 1000 TeV E < TC
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13 SMALL M D (~ 10 KeV) FAIRLY BIG M R (~ 100 GeV) X X X X
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14 QUARK MASS MATRICES ● Diagonalizing, (Real, Positive Diagonal) q=(u,c,t), (d,s,b) ● With f = up: Hermitian f = down: General Complex †
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15 QUARK DIPOLE MATRICES (DIMENSION-5 OPERATORS) (ALSO CHARGED LEPTONS) → Mass eigenstate basis ● Quark EDM (off-diagonal, complex) ●
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16 ● ETC Dipole-Mass Relation ● From Lowest Scale, 3 ≤ min ( j, k ) jk 3
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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:
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18 QUARK EDM’S & CHROMO-EDM’S ● 199 Hg EDM Bound Take O(1) Reasonable Restriction on ETC Model Building
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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
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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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