Description
The elements of a general mass matrix, together with its eigenvalues and that of its submatrices, can be correlated to the squared elements of the mixing matrix, $W=[|V_{αi}|^2]$. It follows that alternative expressions for the Jarlskog invariant $J$ can then be deduced from $W_{αi}$ and the matrix elements of its cofactors, $w_{αi}$, with $w^{T}W=(detW)I$. The results lead to a straightforward and consistent way of calculating $J$ from rephasing-invariant combinations of $W_{αi}$ and $w_{αi}$. In addition, we also obtain certain invariants consisting of $W_{αi}$ and the eigenvalues of the mass matrix as neutrinos propagate in matter. With a proper parametrization of the matrix $W$, this formulation may be useful in providing hints to the study of leptonic CP effects for neutrino oscillation in matter.
| Secondary track | T07 - Flavour Physics and CP Violation |
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