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2016

A Probability Density Function for Neutrino Masses and Mixings

Fortin, Jean-François, Giasson, Nicolas, Marleau, Luc

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The anarchy principle leading to the see-saw ensemble is studied analytically with the usual tools of random matrix theory.

The probability density function for the see-saw ensemble of $N\times N$ matrices is obtained in terms of a multidimensional integral.
This integral involves all light neutrino masses, leading to a complicated probability density function.
It is shown that the probability density function for the neutrino mixing angles and phases is the appropriate Haar measure.

A Probability Density Function for Neutrino Masses and Mixings · Around

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P. Minkowski,
1977
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L. J. Hall, H. Murayama & N. Weiner,
2000
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N. Haba & H. Murayama,
2001
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A. de Gouvea & H. Murayama,
2003
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M. Mehta,
2004
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T. Ratnarajah, R. Vaillancourt & M. Alvo,
2004
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