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tribimaximal mixing : ウィキペディア英語版
tribimaximal mixing
Tribimaximal mixing〔
〕 is a specific postulated form for the Pontecorvo–Maki–Nakagawa–Sakata (PMNS) 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:
:\begin
|U_|^2 & |U_|^2 & |U_|^2 \\
|U_|^2 & |U_|^2 & |U_|^2 \\
|U_|^2 & |U_|^2 & |U_|^2
\end
=
\begin
\frac & \frac & 0 \\
\frac & \frac & \frac \\
\frac & \frac & \frac
\end.

The tribimaximal mixing form was compatible with all verified neutrino oscillation experiments until recently,〔
〕 and may be used as a zeroth-order approximation to more general forms for the PMNS matrix e.g.〔
〕〔
〕 which are also consistent with the data. In the PDG〔 convention for the PMNS matrix, tribimaximal mixing may be specified in terms of lepton mixing angles as follows:
:
\begin
\theta_=\sin^ \left(}}\right)\simeq 35.3^ & \theta_=45^\\
\theta_=0 & \delta=0.
\end

The above prediction has been falsified experimentally, because ''θ''13 was found to be large.〔

A large value of ''θ''13 has been foreseen in certain theoretical schemes that were put forward before tribimaximal mixing and that
supported a large solar mixing, before it was confirmed experimentally 〔
〕〔
〕 (these theoretical schemes do not have a special name, but for the reasons explained above, they could be called pre-tribimaximal or also non-tribimaximal). This situation is not new: also in the 1990s, the solar mixing angle was supposed to be small by most theorists, until KamLAND proved the contrary to be true.
==Explanation of name==
The name ''tribimaximal'' reflects the commonality of the tribimaximal mixing matrix with two previously proposed specific forms for the PMNS matrix, the trimaximal
〕 and bimaximal
〕 mixing schemes, both now ruled out by data. In tribimaximal mixing,〔 the \nu_2 neutrino mass eigenstate is said to be "trimaximally mixed" in that it consists of a uniform admixture of \nu_e, \nu_ and \nu_ flavour eigenstates, i.e. maximal mixing among all three flavour states. The \nu_3 neutrino mass eigenstate, on the other hand, is "bimaximally mixed" in that it comprises a uniform admixture of only two flavour components, i.e. \nu_ and \nu_ maximal mixing, with effective decoupling of the \nu_e from the \nu_3, just as in the original bimaximal scheme.〔



抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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