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## PowerPoint Slideshow about ' Fermion Masses' - kory

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Hierarchical :

Hierarchical :

symmetric

/

CP SM phase

Texture zero

Fritzsch,

Weinberg

Roberts,

Romanino,

GGR,Velasco

… order of radiative corrections

Symmetries

Coherent picture of quark and lepton masses and mixing?

Family?

Family?

MESSENGER SECTOR?

Symmetries and textures

Hierarchical structure strongly suggests a broken symmetry

Froggatt, Nielsen

Cannot align Yukawa and A terms

Vives, GGR

Favours near symmetric structure

With similar structure for charged leptons

Neutrino mixing not related to large RH mixing

Quark masses and mixing angles

Lepton masses and mixing angles

Extension to charged leptons – GUT?

Georgi Jarlskog

100

10-1

10-2

10-3

10-4

eV

Extension to neutrinos???

Possible with “see-saw”

Dirac Mass

Majorana Mass

King, GGR

SUSY CP problem -

In string theory CP is a discrete gauge symmetry :

Dine, Leigh, MacIntyre

Vives, GGR

Cannot align Yukawa and A terms

OK with suitable family symmetry

1

GeV

Mixing

10-1

10-2

10-3

10-4

eV

Fermion Masses II

?

Bi-Tri Maximal

Mixing …

Non Abelian

Structure?

D-term problems for FCNC

Family dependent soft mass

Murayama

Discrete family symmetry

Gauge mediated breaking

Gravity mediation

Symmetries

Coherent picture of quark and lepton masses and mixing?

Simple(?) flavour

Group restricting

Yukawa couplings

King, Vives, Velasco Sevilla…

Spontaneous symmetry breaking

c.f. Georgi-Jarskog

only terms allowed by G

symmetries too

Neutrino masses

Actually cancelled by small off diagonal

Majorana terms

Bi-Tri Maximal Mixing

Altarelli,

Feruglio

Bi-Tri-maximal mixing

X

Grand Unified

King,GGR

Allows symmetric invariant

- vacuum alignment

since only small high dimension corrections

Bi-Tri-maximal mixing

Grand Unified

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? SO(10)XSU(3)?

Extraction of Yukawa couplings crucial to understanding fermion structure

Bounded off diagonal terms (anti)symmetric, hermitian SUSY data

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? SO(10)XSU(3)?

gives a new solution to the SUSY FCNC and CP problems

Extraction of Yukawa couplings crucial to understanding fermion structure

Bounded off diagonal terms (anti)symmetric, hermitian SUSY data

A discrete non-Abelian subgroup can give vacuum alignment needed

For bi-tri-maximal mixing

100

10-1

10-2

10-3

10-4

eV

Degenerate

Normal

Inverted

Phenomenological implications :

Degenerate, normal and

inverted spectra possible

No connection

between quark,

charged lepton

and neutrino

masses

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