Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8184924 | Nuclear Physics B | 2018 | 37 Pages |
Abstract
We scrutinize corrections to tribimaximal (TBM), bimaximal (BM) and democratic (DC) mixing matrices for explaining recent global fit neutrino mixing data. These corrections are parameterized in terms of small orthogonal rotations (R) with corresponding modified PMNS matrices of the forms (Rijlâ
U,Uâ
Rijr,Uâ
Rijrâ
Rklr,Rijlâ
Rkllâ
U) where Rijl,r is rotation in ij sector and U is any one of these special matrices. We showed that for perturbative schemes dictated by single rotation, only (R12lâ
UBM,R13lâ
UBM,UTBMâ
R13r) can fit the mixing data at 3Ï level. However for Rijlâ
Rkllâ
U type rotations, only (R23lâ
R13lâ
UDC) is successful to fit all neutrino mixing angles within 1Ï range. For Uâ
Rijrâ
Rklr perturbative scheme, only (UBMâ
R12râ
R13r,UDCâ
R12râ
R23r,UTBMâ
R12râ
R13r) are consistent at 1Ï level. The remaining double rotation cases are either excluded at 3Ï level or successful in producing mixing angles only at 2Ïâ3Ï level. We also updated our previous analysis on PMNS matrices of the form (Rijâ
Uâ
Rkl) with recent mixing data. We showed that the results modifies substantially with fitting accuracy level decreases for all of the permitted cases except (R12â
UBMâ
R13,R23â
UTBMâ
R13 and R13â
UTBMâ
R13) in this rotation scheme.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Sumit K. Garg,