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

Dec 18, 2015

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Page 1: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

Enriching the Standard ModelWith a family of CP even and odd

Higgs fields

IAS SchoolJan 13, 2012

Nanyang Technological UniversitySingapore

Page 2: 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

Page 3: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

The Yukawa Coupling

lepton

Page 4: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

Enriching the Standard Model

Lepton

Page 5: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

The New Higgs Field

symmetric Anti-symmetric

Page 6: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

Fermion Mass Matrix

Results by Gupta

Page 7: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

Fermion Mass Matrix

Page 8: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

Fermion Mass Matrix

Cabibbo Kobayashi-Maskawa Matrix

Results by Gupta

Page 9: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

Lepton Mass Matrix

Page 10: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

Symmetric

Lepton Mass Matrix

Page 11: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

Transformation to Mass Eigenstates

Page 12: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

See-Saw Mechanism

Flavor Neutrino Mass Matrix

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

See-Saw MechanismFlavor Neutrino Mass Matrix

Page 14: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

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

Page 15: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

Type II Degeneracy

Page 16: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

Type I Degeneracy

Page 17: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

Type I Degeneracya = - 0.0153

Page 18: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

PMNS Matrix

Page 19: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

Experimental Indications

Gulsheen Ahuja

Page 20: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

The Higgs Potential

Page 21: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

The Higgs Potential

Laplacian.wordpress.com

Page 22: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

Spontaneous Symmetry Breaking

New Vacuum

Page 23: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

Spontaneous Symmetry Breaking

Nambu-Goldstone Bosons

Page 24: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

Fermion Mass MatrixMass Hierarchy

Page 25: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

The New Higgs Potential

Tree Level Higgs Potential

with minimum at

new vacuum

Page 26: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

The New Higgs PotentialNew Vacuum

Page 27: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

The Higgs Potential

Goldstone Bosons

Page 28: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

The Higgs Potential

Physical Higgs Field

Up Quark Sector

Page 29: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

The Higgs Potential

PseudoGoldstone Bosons

Page 30: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

The Higgs Potential

PseudoGoldstone Bosons

Page 31: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

Soft Breaking Terms

Markos Maniatis

Page 32: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

Flavor Diagonality

Flavor Changing Amplitude

Page 33: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

FCNC condition

Page 34: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

FCNC condition

Page 35: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

FCNC condition

Page 36: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

FCNC condition

Page 37: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

FCNC condition

Page 38: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

Flavor Diagonality

Flavor Changing Amplitude

Page 39: Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

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.