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Seesaw type-1 and integrating out heavy fields

The diagonalization of the see-saw is described as going from "interaction basis" right (and left) handed neutrinos to "mass basis" right (and left) handed neutrinos.

Now, can chirality refer to a particular basis? Is it not a general property connected with parity? I would think that our "left handed neutrino" after seesaw is not a left neutrino anymore, but that it has a small mixing with the "right handed neutrino".

EDIT: and if it is so... is it always so, or there is some see-saw mechanism that preserves chirality?

  • $\begingroup$ Yes, you're right, of course. It can be easily observed for case of two neutrinos. $\endgroup$ – Andrew McAddams Sep 5 '14 at 17:15
  • $\begingroup$ But when right neutrino mass values is much larger than "Dirac mass" matrix values than you can neglect the right neutrinos. $\endgroup$ – Andrew McAddams Sep 5 '14 at 17:42
  • $\begingroup$ @AndrewMcAddams Ik, so just in case someone wants to answer, I will expand the questio ;-) $\endgroup$ – arivero Sep 5 '14 at 20:13

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