Trimaximal mixing

Trimaximal mixing[1] (also known as threefold maximal mixing[2]) refers to the highly symmetric, maximally CP-violating,

fermion mixing configuration, characterised by a unitary matrix (

) having all its elements equal in modulus (

) as may be written, e.g.: where

ω = exp ⁡ ( i 2 π

ω ¯

= exp ⁡ ( − i 2 π

are the complex cube roots of unity.

In the standard PDG[3] convention, trimaximal mixing corresponds to:

= π

sin

δ = π

[4] takes its extremal value

Originally proposed as a candidate lepton mixing matrix,[5][6] and actively studied[1][2][7][8] as such (and even as a candidate quark mixing matrix[9]), trimaximal mixing is now definitively ruled-out as a phenomenologically viable lepton mixing scheme by neutrino oscillation experiments, especially the Chooz reactor experiment,[10] in favour of the no longer tenable (related) tribimaximal mixing[11] scheme.