Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

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Presentation transcript:

Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore

The Standard Model Lagrangian

The Yukawa Coupling lepton

Enriching the Standard Model Lepton

The New Higgs Field symmetric Anti- symmetric

Fermion Mass Matrix Results by Gupta

Fermion Mass Matrix

Cabibbo Kobayashi-Maskawa Matrix Results by Gupta

Lepton Mass Matrix

Symmetric Lepton Mass Matrix

Transformation to Mass Eigenstates

See-Saw Mechanism Flavor Neutrino Mass Matrix

See-Saw Mechanism Flavor Neutrino Mass Matrix

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

Type II Degeneracy

Type I Degeneracy

a =

PMNS Matrix

Experimental Indications Gulsheen Ahuja

The Higgs Potential

Laplacian.wordpress.com

Spontaneous Symmetry Breaking New Vacuum

Spontaneous Symmetry Breaking Nambu-Goldstone Bosons

Fermion Mass Matrix Mass Hierarchy

The New Higgs Potential Tree Level Higgs Potential with minimum at new vacuum

The New Higgs Potential New Vacuum

The Higgs Potential Goldstone Bosons

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 Changing Amplitude

FCNC condition

Flavor Diagonality Flavor Changing Amplitude

Enriching the Standard Model Implications 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 K L and K S oscillations. 3.The parameters of CKM matrices related to the hierarchies of Higgs family.