In this letter,we make an attempt to embed theμ–τreflection symmetry(which predicts maximal atmospherical mixing angle and Dirac CP phase)in the Friedberg-Lee neutrino model(which employs a translational flavor sym...In this letter,we make an attempt to embed theμ–τreflection symmetry(which predicts maximal atmospherical mixing angle and Dirac CP phase)in the Friedberg-Lee neutrino model(which employs a translational flavor symmetry and keeps one neutrino mass vanishing)and study the consequences of such a combination.展开更多
The recent global analysis of three-flavor neutrino oscillation data indicates that the normal neutrino mass ordering is favored over the inverted one at the 3σ level, and the best-fit values of the largest neutrino ...The recent global analysis of three-flavor neutrino oscillation data indicates that the normal neutrino mass ordering is favored over the inverted one at the 3σ level, and the best-fit values of the largest neutrino mixing angle 023 and the Dirac CP-violating phase δ are located in the higher octant and third quadrant, respectively. We show that all these important issues can be naturally explained by the μ-τ reflection symmetry breaking of massive neutrinos from a superhigh energy scale down to the electroweak scale owing to the one-loop renormalization-group equations （RGEs） in the minimal supersymmetric standard model （MSSM）. The complete parameter space is explored for the first time in both the Majorana and Dirac cases, by allowing the smallest neutrino mass m1 and the MSSM parameter tanβ to vary within their reasonable regions.展开更多
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supported in part by the National Natural Science Foundation of China under grant Nos.11605081,12142507 and 12147214the Natural Science Foundation of Liaoning Province under grant NO.2019-ZD-0473。
文摘In this letter,we make an attempt to embed theμ–τreflection symmetry(which predicts maximal atmospherical mixing angle and Dirac CP phase)in the Friedberg-Lee neutrino model(which employs a translational flavor symmetry and keeps one neutrino mass vanishing)and study the consequences of such a combination.
基金Supported by the National Natural Science Foundation of China(11775231,11775232)
文摘The recent global analysis of three-flavor neutrino oscillation data indicates that the normal neutrino mass ordering is favored over the inverted one at the 3σ level, and the best-fit values of the largest neutrino mixing angle 023 and the Dirac CP-violating phase δ are located in the higher octant and third quadrant, respectively. We show that all these important issues can be naturally explained by the μ-τ reflection symmetry breaking of massive neutrinos from a superhigh energy scale down to the electroweak scale owing to the one-loop renormalization-group equations （RGEs） in the minimal supersymmetric standard model （MSSM）. The complete parameter space is explored for the first time in both the Majorana and Dirac cases, by allowing the smallest neutrino mass m1 and the MSSM parameter tanβ to vary within their reasonable regions.
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].
