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- W3206283721 abstract "In this letter, we search for conditions that the mass matrix of light neutrinos $m_{nu}$ is not a result of large cancellations in the type-I seesaw formula with four-zero texture. For the Yukawa matrix of neutrinos $Y_{nu}$ and heavy Majorana mass matrix $M_{R}$, these conditions have the form $(Y_{nu})_{i2} propto (m_{nu})_{i2} , Rightarrow , (Y_{nu})_{i2} propto (M_{R})_{i2}$. We call them {it alignment} conditions because they align the second rows or columns of the three neutrino mass matrices. If these conditions do not hold, the large mixing in $m_{nu}$ is a result of fine-tuning due to the cancellation of several large terms. Then they are also required from the viewpoint of naturalness. They place rough restrictions on flavor structures of neutrinos. Under these conditions, $Y_{nu}$ must have a mild hierarchy. For $M_{R}$, the 12 submatrix has the same mild hierarchy as $Y_{nu}$ and $m_{nu}$. However, the 23 submatrix has a strong hierarchy without some fine-tuning. Therefore, it is likely that $Y_{nu}$ and $M_{R}$ have qualitatively different flavor structures. Furthermore, since they incorporate CP phases of the matrix elements, these non-cancellation conditions imply an existence of universal generalized CP symmetry in the neutrino sector." @default.
- W3206283721 created "2021-10-25" @default.
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- W3206283721 date "2021-10-21" @default.
- W3206283721 modified "2023-09-23" @default.
- W3206283721 title "Conditions for avoiding large cancellation in type-I seesaw mechanism with four-zero texture" @default.
- W3206283721 hasPublicationYear "2021" @default.
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