论文标题
$ 1/（m_ {r}）_ {33} $ type-i seeSaw机构的扩展和部分$ z_ {2} $ symmetry tm $ _ {1,2} $混合
$1/(M_{R})_{33}$ expansion of the type-I seesaw mechanism and partial $Z_{2}$ symmetry for TM$_{1,2}$ mixing
论文作者
论文摘要
我们考虑通过3-3矩阵元素$ 1/（m_ {r}）_ {33} $的右手中微子$ m_ {r} $的近来的近来扩展。对于$ m_ {r} $，获得了这种情况的条件和dirac质量矩阵$ m_ {d} $。 在这种情况下，一个部分$ z_ {2} $对称性，例如$ s m_ {d} p_ {} = \ pm m_ {d} p _ {} $，带有一个投影矩阵$ p_ {} = {\ rm diag}（\ rm diag}（\ rm diag}（\ rm diag}（1，1，1，0）$ sytry $ z_ $ s $ s $矩阵$m_ν$。在统一理论的上下文中，这种部分$ z_ {2} $对称是可取的，因为它允许层次$ m_ {d} $以及同时$m_ν$的大混合。
We consider an expansion of the type-I seesaw mechanism by the inverse of the 3-3 matrix element $1/(M_{R})_{33}$ of the mass matrix of right-handed neutrinos $M_{R}$. Conditions of such a situation are obtained for $M_{R}$ and the Dirac mass matrix $m_{D}$. In this case, a partial $Z_{2}$ symmetry such as $S m_{D} P_{} = \pm m_{D} P_{}$ with a projection matrix $P_{} = {\rm diag} ( 1, 1, 0)$ leads to an approximate $Z_{2}$ symmetry by $S$ for the neutrino mass matrix $m_ν$. Such a partial $Z_{2}$ symmetry is desirable in the context of unified theories because it allows hierarchical $m_{D}$ and the large mixing of $m_ν$ simultaneously.
