Enriching the Standard Model& Beyond

IAS WorkshopJan 27, 2012

Nanyang Technological UniversitySingapore

The Standard Model

The Standard Model Lagrangian

The Yukawa Coupling

lepton

Enriching the Standard Model

Enriching the Standard Model

The New Higgs Field

symmetric Anti-symmetric

The New Higgs Field

Maximal CP violation

Fermion Mass Matrix

Results by Gupta

Fermion Mass Matrix

Fermion Mass Matrix

Cabibbo Kobayashi-Maskawa Matrix

Results by Gupta

Symmetric

Lepton Mass Matrix

Transformation to Mass Eigenstates

Lepton Mass Matrix

See-Saw Mechanism

Flavor Neutrino Mass Matrix

Lepton Mass Matrix

See-Saw MechanismFlavor Neutrino Mass

Marix

Lepton Mass Matrix

and the is the diagonal mass matgrix for the heavy right-handed neutrinos

Type II Degeneracy

Type I Degeneracy

Type I Degeneracya = - 0.0153

PMNS Matrix

Experimental Indications

Gulsheen Ahuja

Type I Degeneracya = - 0.0153

The Higgs Potential

The Higgs Potential

Laplacian.wordpress.com

Spontaneous Symmetry Breaking

New Vacuum

Spontaneous Symmetry Breaking

Nambu-Goldstone Bosons

Fermion Mass MatrixMass Hierarchy

The New Higgs Potential

Tree Level Higgs Potential

with minimum at

new vacuum

The New Higgs PotentialNew Vacuum

The Higgs Potential

Goldstone Bosons

Up Quark Sector

The Higgs Potential

Physical Higgs Field

Up Quark Sector

The Higgs Potential

PseudoGoldstone Bosons

The Higgs Potential

PseudoGoldstone Bosons

Soft Breaking Terms

Markos Maniatis

Flavor Diagonality

Flavor DiagonalityPenguin Diagrams

Flavor Diagonality

Flavor Changing Amplitude

FCNC condition

Flavor DiagonalityFlavor Diagonality

FCNC condition

Flavor Diagonality

FCNC condition

Flavor Diagonality

FCNC condition

Flavor Diagonality

FCNC condition

Flavor Diagonality

Enriching the Standard ModelImplications for LHC

1. Higgs family has a rich hierarchy While some are heavy to conform to constraints from rare decays, there will be some `pseudo-Goldstone bosons’ that are low.

2. The Higgs bosons are not CP eigenstates and so there will be analogs of KL and KS oscillations.

3. The parameters of CKM matrices related to the hierarchies of Higgs family.

OPERA Underground Detector

Frontiers of ScienceImplications for Technology

OPERA Experiment

OPERA Experiment

& Beyond

Superluminal neutrino?

Chodos, Hauser & Kostelecky, 1985

& Beyond

Superluminal neutrino?

& Beyond

Equations of Motion

& Beyond

& Beyond

& Beyond

& Beyond

Structure of the In Vacuum

Structure of the Out Vacuum

Structure of the Vacua

& Beyond

Micro-Causality

& Beyond

Micro-Causality

& Beyond

Neutrino Oscillation

& Beyond

Neutrino Oscillation

& Beyond

Neutrino Oscillation

& Beyond

Neutrino Oscillation

& Beyond

Tritium beta-decay

arXiv:hep-ph/0410175v1