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?
DATA : Mixing ? 1 GeV Masses THEORY :
DataTheory ? Underconstrained – need mixing angles but only V CKM measured. HierarchyDemocracy
Hierarchy
Symmetric fit Asymmetric fit Roberts Romanino GGR Velasco Sevilla DataTheory
Georgi Jarlskog Extension to charged leptons – GUT?
Family symmetries Hierarchical structure strongly suggests a broken symmetry MESSENGER SECTOR? FAMILY SYMMETRY? Froggatt, Nielsen
Abelian Family symmetry 1 Ibanez GGR
Asymmetric charge assignment : } Large mixing… maximal? Ramond et al, Jack, Jones, …..
Non-Abelian family symmetry Near Bi (-Tri) maximal mixing suggests Non-Abelian symmetry capable of relating Candidate group ? Numerous suggestions for the symmetries of C3, S3, A4… Harrison, Scott, Perkins Babu, Ma, Valle Wetterich… But can such structures be consistent with all quark and lepton masses? U(2), U(3)Various attempts : Barbieri et al, Chkareuli, Froggattt, Nielsen King, GGR….
King, GGR Coefficients equal due to SU(2) family symmetry ? ? 3
Possible with “ see-saw ” Extension to neutrinos??? Majorana Mass Dirac Mass eV King, GGR
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? Tests? Is there a family symmetry? Abelian? Non-Abelian? Origin of the hierarchy? Froggatt Nielsen? Radiative corrections? New spatial dimensions? Origin of CP violation? Spontaneous?
Probes RH angles TESTS? Vives, GGR, Velasco Sevilla
Neutrino texture zero ? Ibarra, GGR 2β decay, leptogenesis Casas, Ibarra } CHOOZ
(SUSY) Textures : FCNC, CP constraints Vives, GGR