It is familiar for us that the diagonalization of a mixing matrix which is written in the neutral basis gives the masses of the neutral particles.

If I construct a mixing matrix which is written in the basis ($X_1, X_2, X_3$) and ($N_1, N_2, N_3$) where $X_i (i=1,2,3)$ are charged particles while $N_i (i=1,2,3)$ are neutral. This mixing matrix has any physical sense?

  • $\begingroup$ The PMNS matrix in SM neutrino physics connects charged lepton mass eigenstates to neutral neutrino mass eigenstates and Ws. It is not a mass matrix, but a coupling mixing matrix. Is that what you might have in mind? $\endgroup$ – Cosmas Zachos Sep 30 '19 at 19:24
  • $\begingroup$ Actually, I have developed a lagrangian in a model beyond the standard model, and I found some terms represent the coupling between charged and neutral leptons as (E^-. Neutrino) where E^- is a charged lepton. and I wanted to know if it's okay to find those terms or its wrong. $\endgroup$ – Narmine Oct 2 '19 at 8:33
  • $\begingroup$ Looks like they violate electric charge? $\endgroup$ – Cosmas Zachos Oct 2 '19 at 11:07
  • $\begingroup$ I found many terms represent couplings between charged and neutral leptons as (E^-. Beta^0) and (beta^+. Neutrino) and many others I don't understand how can I deal with them. Are those forbidden terms? $\endgroup$ – Narmine Oct 3 '19 at 7:45
  • $\begingroup$ Yes, they are., unless there also is a W there. $\endgroup$ – Cosmas Zachos Oct 3 '19 at 11:11

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