What is the impact of complex phases on neutrino oscillations?

In summary, the mixing angle for neutrinos and anti-neutrinos is the same, but the overall oscillation may be affected by an additional complex phase that differs in sign for each. This theory is currently being explored in a blog series on neutrino oscillations.
  • #1
edpell
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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?
 
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  • #2
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.
 

1. What is neutrino flavor oscillation?

Neutrino flavor oscillation is the phenomenon in which neutrinos change from one flavor (electron, muon, or tau) to another as they travel through space. This is possible because neutrinos have mass, which allows them to oscillate between flavors.

2. How do neutrinos oscillate between flavors?

Neutrinos oscillate between flavors due to a quantum mechanical effect known as mixing. This means that the three different flavors of neutrinos are actually combinations of three different mass states. As a neutrino travels through space, it will change from one mass state to another, resulting in a change in flavor.

3. Why is studying neutrino flavor oscillation important?

Studying neutrino flavor oscillation is important because it helps us understand the fundamental properties of neutrinos, such as their mass and mixing angles. It also has implications for our understanding of the Standard Model of particle physics and can provide insights into the nature of dark matter and the origin of the universe.

4. How do scientists detect neutrino flavor oscillation?

Scientists detect neutrino flavor oscillation by using large detectors, such as the Super-Kamiokande detector in Japan or the IceCube detector in Antarctica. These detectors are able to detect the different flavors of neutrinos by observing the particles produced when a neutrino interacts with matter.

5. How is neutrino flavor oscillation related to the solar neutrino problem?

The solar neutrino problem refers to the discrepancy between the predicted and observed number of electron neutrinos from the Sun. Neutrino flavor oscillation provides a solution to this problem, as it allows for electron neutrinos produced in the core of the Sun to change into other flavors as they travel to Earth. This means that detectors on Earth will observe fewer electron neutrinos than expected, but the total number of neutrinos predicted by the Standard Solar Model will be consistent with observations.

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