Wolfenstein-like Parametrization of the Neutrino Mixing Matrix
Abstract
We show that the 3x3 lepton flavor mixing matrix $V$ can be expanded in powers of a Wolfenstein-like parameter $\Lambda \equiv |V_{\mu 3}| \sim 1/\sqrt{2}$, which measures the strength of flavor conversion in atmospheric neutrino oscillations. The term of ${\cal O}(\Lambda^2)$ is responsible for the large flavor mixing in solar neutrino oscillations. The Dirac phase of CP violation enters at or below ${\cal O}(\Lambda^6)$, and the Majorana phases of CP violation are not subject to the $\Lambda$-expansion. Matter effects on this new parametrization are briefly discussed. Some comments are also given on the possible relation between $\Lambda$ and a relatively weak hierarchy of neutrino masses.
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