In this paper,we consider a set of new symmetries in the SM:diagonal reflection symmetries Rm_(u,v)^(*),R=m_(u,v),m_(d,e)^(*)=mde with R=diag(-1,1,1).These generalized CP symmetries predict the Majorana phases to beα...In this paper,we consider a set of new symmetries in the SM:diagonal reflection symmetries Rm_(u,v)^(*),R=m_(u,v),m_(d,e)^(*)=mde with R=diag(-1,1,1).These generalized CP symmetries predict the Majorana phases to beα_(2.3)/2-0π/2.Realization of diagonal reflection symmetries implies a broken chiral U(1)po symmetry only for the first generation.The axion scale is suggested to be(θ_(u,d))~△GuT√m_(u,dm_(c,s))/v-10^(12)[GeV].By combining the symmetries with the four-zero texture,the mass eigenvalues and mixing matrices of quarks and leptons are reproduced well.This scheme predicts the normal hierarchy,the Dirac phase ocp≈203°,and|ml|≈2.5 or 6.2[meV].In this scheme,the type-I seesaw mechanism and a given neutrino Yukawa matrix Y_(y)completely determine the structure of the right-handed neutrino mass M_(R).A u-y unification predicts the mass eigenvalues to be(M_(RI),M_(R2),M_(R3))=(O(10^(5)).O(10^(9)),O(10^(14))[Gev].展开更多
基金JSPS Grants-in-Aid for Scientific Research(P18H01210,20K 14459)MEXT KAKENHI(UP18H05543)。
文摘In this paper,we consider a set of new symmetries in the SM:diagonal reflection symmetries Rm_(u,v)^(*),R=m_(u,v),m_(d,e)^(*)=mde with R=diag(-1,1,1).These generalized CP symmetries predict the Majorana phases to beα_(2.3)/2-0π/2.Realization of diagonal reflection symmetries implies a broken chiral U(1)po symmetry only for the first generation.The axion scale is suggested to be(θ_(u,d))~△GuT√m_(u,dm_(c,s))/v-10^(12)[GeV].By combining the symmetries with the four-zero texture,the mass eigenvalues and mixing matrices of quarks and leptons are reproduced well.This scheme predicts the normal hierarchy,the Dirac phase ocp≈203°,and|ml|≈2.5 or 6.2[meV].In this scheme,the type-I seesaw mechanism and a given neutrino Yukawa matrix Y_(y)completely determine the structure of the right-handed neutrino mass M_(R).A u-y unification predicts the mass eigenvalues to be(M_(RI),M_(R2),M_(R3))=(O(10^(5)).O(10^(9)),O(10^(14))[Gev].
