Constraints on mass matrices due to measured property of the mixing matrix

Details Constraints on mass matrices due to measured property of the mixing matrix Constraints on mass matrices due to measured property of the mixing matrix

2005-09-03

arxiv.org/abs/hep-ph/0509025v1

Mod.Phys.Lett. A21 (2006) 907-910

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, Latex

Scientific paper

10.1142/S021773230601930X

It is shown that two specific properties of the unitary matrix $V$ can be expressed directly in terms of the matrix elements and eigenvalues of the hermitian matrix $M$ which is diagonalized by $V$. These are the asymmetry $\Delta(V)= |V_{12}|^2- |V_{21}|^2$, of $V$ with respect to the main diagonal and the Jarlskog invariant $J(V)= {\rm Im}(V_{11}V_{12}^* V_{21}^* V_{22})$. These expressions for $\Delta(V)$ and $J(V)$ provide constraints on possible mass matrices from the available data on $V$.

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