What is the impact of complex phases on neutrino oscillations?

[edpell]

My understanding is that Fermi has results that show the mixing angle for neutrinos is not the same as the mixing angle for anti-neutrinos. Is there a theory that explains this?

 

[DrBenStill]

The mixing angles/phases themselves are the same for neutrinos and anti-neutrinos as they are real numbers. The overall oscillation may be effected by an additional phase which is not real a real but instead a complex number. Only complex phases would show a difference between neutrino and anti-neutrino because the sign in front of complex phases is opposite for each.

I am slowly going through the maths behind neutrino oscillations in my blog series of posts

Coming At It From All Angles: Part 1
Coming At It From All Angles: Part 2
http://neutrinoscience.blogspot.com/2011/06/coming-at-it-from-all-angles-part-3.html

I will get to this complex phase soon.