Quark and lepton masses

1. Quark and lepton masses G.G.Ross, DESY, Sept 03

2. Masses 1 GeV Mixing 10-1 10-2 10-3 10-4 eV DATA : ? Bi-Tri Maximal Mixing … Non Abelian Structure?

3. Masses† 1 GeV Mixing † † DATA : ? Simple(?) flavour Group restricting Yukawa couplings

4. 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

5. Symmetric fit Roberts Romanino GGR Velasco Sevilla Quarks =

6. Messenger mass Froggatt, Nielsen (Universal masses natural for Wilson line breaking)

7. Extension to charged leptons – GUT? Georgi Jarlskog

8. 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

9. Vacuum alignment

10. 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

11. 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 :

12. 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

13. 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

14. Ramage,GGR

16. 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