Fermion Masses The Standard Model DATA Masses 1

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Fermion Masses The Standard Model

Fermion Masses The Standard Model

DATA : Masses ? 1 Ge. V Mixing

DATA : Masses ? 1 Ge. V Mixing

DATA : Masses ? 1 Ge. V Mixing 10 -1 10 -2 10 -3

DATA : Masses ? 1 Ge. V Mixing 10 -1 10 -2 10 -3 10 -4 e. V Bi-Tri Maximal Mixing … Non Abelian Structure?

Quark Textures Hierarchical :

Quark Textures Hierarchical :

Quark Textures Hierarchical :

Quark Textures Hierarchical :

Symmetric fit Asymmetric fit Roberts Romanino GGR Velasco Sevilla

Symmetric fit Asymmetric fit Roberts Romanino GGR Velasco Sevilla

Texture zero symmetric GATTO, SARTORI, TONIN CP / SM phase Fritzsch, Weinberg Roberts, Romanino,

Texture zero symmetric GATTO, SARTORI, TONIN CP / SM phase Fritzsch, Weinberg Roberts, Romanino, GGR, Velasco

Symmetric fit Asymmetric fit Roberts Romanino GGR Velasco Sevilla

Symmetric fit Asymmetric fit Roberts Romanino GGR Velasco Sevilla

Infra red fixed point Pendleton, Ross Hill Kobayashi, Kubo, Mondragon, Zoupanos

Infra red fixed point Pendleton, Ross Hill Kobayashi, Kubo, Mondragon, Zoupanos

… dimension of operator … order of radiative corrections

… dimension of operator … order of radiative corrections

Textures and flavour models Symmetries Coherent picture of quark and lepton masses and mixing?

Textures and flavour models Symmetries Coherent picture of quark and lepton masses and mixing? Family?

Symmetries and textures Hierarchical structure strongly suggests a broken symmetry MESSENGER SECTOR? FAMILY SYMMETRY?

Symmetries and textures Hierarchical structure strongly suggests a broken symmetry MESSENGER SECTOR? FAMILY SYMMETRY? Froggatt, Nielsen

Abelian Family symmetry -3 2 1 -2 -3 2 1 H ? 1 -1

Abelian Family symmetry -3 2 1 -2 -3 2 1 H ? 1 -1 Ibanez GGR

Abelian Family symmetry -3 2 1 -2 2 -3 2 1 H Non-Abelian symmetry?

Abelian Family symmetry -3 2 1 -2 2 -3 2 1 H Non-Abelian symmetry? 1 -1 Ibanez GGR

Extension to charged leptons – GUT? ?

Extension to charged leptons – GUT? ?

Extension to charged leptons – GUT? Georgi Jarlskog

Extension to charged leptons – GUT? Georgi Jarlskog

Extension to neutrinos? ? ? Vacuum alignment

Extension to neutrinos? ? ? Vacuum alignment

Vacuum alignment King, GGR, Varzielas Radiative breaking

Vacuum alignment King, GGR, Varzielas Radiative breaking

Vacuum alignment King, GGR, Varzielas Radiative breaking

Vacuum alignment King, GGR, Varzielas Radiative breaking

Spontaneous symmetry breaking c. f. Georgi-Jarskog only terms allowed by G

Spontaneous symmetry breaking c. f. Georgi-Jarskog only terms allowed by G

Dirac mass structure

Dirac mass structure

Dirac mass structure

Dirac mass structure

Dirac mass structure

Dirac mass structure

Structure determined from symmetries too Neutrino masses Small Actually cancelled by small off diagonal

Structure determined from symmetries too Neutrino masses Small Actually cancelled by small off diagonal Majorana terms Bi-Tri Maximal Mixing

Summary Extraction of Yukawa couplings crucial to understanding fermion structure Bounded off diagonal terms

Summary Extraction of Yukawa couplings crucial to understanding fermion structure Bounded off diagonal terms data (anti)symmetric, hermitian SUSY Texture and texture zero hints at underlying structure Family symmetry ? GUT symmetry? Due to the see-saw mechanism, the quark, charged lepton and neutrino masses and mixing angles can be consistent with a similar structure for their Dirac mass matrices. Hints at an underlying (spontaneously broken) family symmetry?

Probes RH angles

Probes RH angles

Ramage, GGR

Ramage, GGR