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Quark and lepton masses. G.G.Ross, DESY, Sept 03. Masses. 1. GeV. Mixing. 10 -1. 10 -2. 10 -3. 10 -4. eV. DATA :. ?. Bi-Tri Maximal Mixing … Non Abelian Structure?. Masses †. 1. GeV. Mixing † †. DATA :. ?. Simple(?) flavour Group restricting Yukawa couplings.

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slide1

Quark and lepton masses

G.G.Ross, DESY, Sept 03

slide2

Masses

1

GeV

Mixing

10-1

10-2

10-3

10-4

eV

DATA :

?

Bi-Tri Maximal

Mixing …

Non Abelian

Structure?

slide3

Masses†

1

GeV

Mixing † †

DATA :

?

Simple(?) flavour

Group restricting

Yukawa couplings

slide4

Non-Abelian family symmetry

To relate different matrix elements need

a non-Abelian structure, e.g.

e.g.

Form determined by additional symmetries

e.g. Z5XZ3XZ2

slide5

Symmetric fit

Roberts

Romanino

GGR

Velasco Sevilla

Quarks

=

slide6

Messenger mass

Froggatt, Nielsen

(Universal masses natural for Wilson line breaking)

slide8

10

100

10-1

10-2

10-3

10-4

eV

Bi-Tri maximal mixing?

Possible with “see-saw”

Dirac Mass

Magnitude ordered by Z5XZ2

Majorana Mass

slide10

Summary

Neutrino masses, gauge coupling unification, proton decay point to GUT

with high unification scale.

Extraction of Yukawa couplings crucial to understanding fermion structure

Bounded off diagonal terms (anti)symmetric, hermitian



SUSY CP

Vives, GGR

slide11

Summary

Texture and texture zero hints at underlying structure

Family symmetry ? GUT symmetry?

Neutrino masses, gauge coupling unification, proton decay point to GUT

with high unification scale….1st quantitative evidence for superstring unification?

Extraction of Yukawa couplings crucial to understanding fermion structure

Bounded off diagonal terms (anti)symmetric, hermitian



SUSY CP

(1,1) neutrino texture zero :

slide12

10

100

Summary

10-1

10-2

Extraction of Yukawa couplings crucial to understanding fermion structure

10-3

Bounded off diagonal terms (anti)symmetric, hermitian

10-4

Texture and texture zero hints at underlying structure

eV

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)?

Neutrino masses, gauge coupling unification, proton decay point to GUT

with high unification scale….1st quantitative evidence for superstring unification?



SUSY CP

slide13

Summary

Extraction of Yukawa couplings crucial to understanding fermion structure

Bounded off diagonal terms (anti)symmetric, hermitian

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 problem

Neutrino masses, gauge coupling unification, proton decay point to GUT

with high unification scale….1st quantitative evidence for superstring unification?



SUSY CP

slide16

Summary

Extraction of Yukawa couplings crucial to understanding fermion structure

Bounded off diagonal terms (anti)symmetric, hermitian

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 problem

Neutrino masses, gauge coupling unification, proton decay point to GUT

with high unification scale….1st quantitative evidence for superstring unification?



SUSY CP

SUSY CP problem

Vives, GGR, Velasco Sevilla

If SUSY spontaneously broken in flavon sector SUSY CP violating angles naturally small