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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
Extension to charged leptons – GUT? Georgi Jarlskog
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