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物理学
Diagonal reflection symmetries and universal four-zero texture
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)~*=m_(d,e) with R=diag(-1,1,1).These generalized CP symmetries predict the Majorana phases to be α_(2,3)/2~0 or π/2.Realization of diagonal reflection symmetries implies a broken chiral U(1)_(PQ) symmetry only for the first generation.The axion scale is suggested to be <θ_(u,d)>~∧_(GUT)(m_(u,d)m_(c,s))~(1/2)/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 δ_(CP)■203°,and |m_1|■2.5 or 6.2[meV].In this scheme,the type-I seesaw mechanism and a given neutrino Yukawa matrix Y_v completely determine the structure of the right-handed neutrino mass M_R.A u-v unification predicts the mass eigenvalues to be(M_(R1),M_(R2),M_(R3))=(O(10~5),O(10~9),O(10~(14))) [GeV].
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Chinese Physics C
2021年04期
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