Primitive Pythagorean triples and neutrino mixing

Abstract

The primitive Pythagorean triples are the three natural numbers $(a,b,c)$ that satisfy $c^2=a^2+b^2$ in a right triangle. We constructed a neutrino mixing models related to primitive Pythagorean triples that satisfy the observed values within the $3\ddot{I}ƒ$ region for the reactor, solar, and atmospheric neutrino mixing angles, as well as the Dirac CP phase.

20 pages, 29 figures