I am reading Mohapatra's book: "Massive Neutrinos in Physics and Astrophysics". At the beginning of chapter 7, it is sought expressions where the right neutrino was considered in the Electroweak Standard Model.(adsbygoogle = window.adsbygoogle || []).push({});

Everything was fine until I found the expression [itex]\overline{N^c_{l'L}}\nu^c_{lR}=\overline{\nu_{lL}}N_{l'R}[/itex].

Where [itex]N_{l'R}[/itex] is the right handed field associated with right handed neutrinos and the subsctipts [itex]l,l'[/itex] indicate the lepton flavors.

Well, I'm trying to prove this, but I get stuck on the following expression:

[itex]\overline{N^c_{l'L}}\nu^c_{lR} =\overline{\left(N_{l'L}\right)^c}\left(\nu_{lR}\right)^c

= \overline{N_{l'R}}\nu_{lL}¿?\overline{\nu_{lL}}N_{l'R}[/itex]

And I'm assuming that they are Majorana neutrinos.

To complete the test I should justify why the conjugate for the last expression can be taken and remain unchanged, someone could help?

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# Right handed neutrino identity

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