Trimaximal mixing
Encyclopedia
Trimaximal mixing 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
and 
are the complex cube roots of unity. In the standard PDG convention, trimaximal mixing corresponds to:
, 
and 
. The Jarlskog 
-violating parameter 
takes its extremal value 
.
Originally proposed as a candidate lepton mixing
matrix, and actively studied as such (and even as a candidate quark mixing matrix), trimaximal mixing is now definitively ruled-out as a phenomenologically viable lepton mixing scheme by neutrino oscillation
experiments, especially the CHOOZ reactor experiment, in favour of the (related) tribimaximal mixing
scheme.
fermionFermion
In particle physics, a fermion is any particle which obeys the Fermi–Dirac statistics . Fermions contrast with bosons which obey Bose–Einstein statistics....
mixing configuration, characterised by a unitary matrix (
) having all its elements equal in modulus(
, ) as may be written, e.g.:where
and are the complex cube roots of unity. In the standard PDG convention, trimaximal mixing corresponds to:
, and . The Jarlskog -violating parameter takes its extremal value .Originally proposed as a candidate lepton mixing
Neutrino oscillation
Neutrino oscillation is a quantum mechanical phenomenon predicted by Bruno Pontecorvowhereby a neutrino created with a specific lepton flavor can later be measured to have a different flavor. The probability of measuring a particular flavor for a neutrino varies periodically as it propagates...
matrix, and actively studied as such (and even as a candidate quark mixing matrix), trimaximal mixing is now definitively ruled-out as a phenomenologically viable lepton mixing scheme by neutrino oscillation
Neutrino oscillation
Neutrino oscillation is a quantum mechanical phenomenon predicted by Bruno Pontecorvowhereby a neutrino created with a specific lepton flavor can later be measured to have a different flavor. The probability of measuring a particular flavor for a neutrino varies periodically as it propagates...
experiments, especially the CHOOZ reactor experiment, in favour of the (related) tribimaximal mixing
Tribimaximal mixing
Tribimaximal mixing is a specific postulated form for the Pontecorvo–Maki–Nakagawa–Sakata lepton mixing matrix U. Tribimaximal mixing is defined by a particular choice of the matrix of moduli-squared of the elements of the PMNS matrix as follows:...
scheme.