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Neutrinos and Flavour. G.G.Ross, Coseners House, May 03. What is the origin of the Quark and lepton masses, mixing angles and CP violating phases?. Family?. Family?. Masses. 1. GeV. THEORY :. DATA :. ?. Mixing. Data. Theory ?. Hierarchy. Democracy.

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Neutrinos and Flavour

G.G.Ross, Coseners House, May 03

What is the origin of the Quark and lepton masses, mixing angles

and CP violating phases?

Family?

Family?


Masses

1

GeV

THEORY :

DATA :

?

Mixing


Data

Theory ?

Hierarchy

Democracy

Underconstrained – need mixing angles but only VCKM measured.



Data

Theory

Symmetric fit

Roberts

Romanino

GGR

Velasco Sevilla

Asymmetric fit



FAMILY SYMMETRY?

MESSENGER SECTOR?

Family symmetries

Hierarchical structure strongly suggests a broken symmetry

Froggatt, Nielsen


1

-1

-1

-1

Abelian Family symmetry

-3 2 1

-3

2

1

Ibanez GGR


Asymmetric charge assignment :

}

Ramond et al,

Jack, Jones, …..

Large mixing… maximal?


Non-Abelian family symmetry

Near Bi (-Tri) maximal mixing suggests Non-Abelian symmetry

capable of relating

Candidate group?

C3, S3, A4…

Numerous suggestions for the symmetries of

Harrison, Scott, Perkins

Babu, Ma, Valle

Wetterich…

But can such structures be consistent with all quark and lepton masses?

Barbieri et al,

Chkareuli, Froggattt, Nielsen

King, GGR….

Various attempts :

U(2), U(3)


3

King, GGR

Coefficients equal due to SU(2)

family symmetry

?

?


10

100

10-1

10-2

10-3

10-4

eV

Extension to neutrinos???

Possible with “see-saw”

Dirac Mass

Majorana Mass

King, GGR


Is there a family symmetry?

Abelian? Non-Abelian?

Origin of the hierarchy?

Froggatt Nielsen? Radiative corrections? New spatial dimensions?

Tests?

SUMMARY

The measurement of neutrino properties is testing our ideas about

the origin of flavour and raises interesting questions :

Is there a connection between quarks and leptons?

GUT?

Origin of CP violation?

Spontaneous?


TESTS?

Probes RH angles

Vives, GGR, Velasco Sevilla


}

Neutrino texture zero ?

Casas,

Ibarra

CHOOZ

Ibarra, GGR

2β decay,

leptogenesis


(SUSY) Textures : FCNC, CP constraints

Vives, GGR


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