Neutrino-neutrino scattering is not considered for neutrino oscillation in vacuum. Neutrino scattering with e, p, n in matters is considered for neutrino oscillation in matters (e.g. in sun, in earth). Neutrinos are subject to weak interactions only. Being electrically neutral they are not subject to em interaction. They are not subject to strong interaction. They have scattering with leptons via W or Z exchange. In QED we have photon-photon scattering. We know that polarizable neutral systems having electric and magnetic susceptibilities may have interactions. Can neutrino massive states be a potential candidate?
Neutrinos can see other neutrinos through Weak Interaction, one of the 4 interactions of Nature. However, that interaction is very weak to have any effect on the neutrino properties. Even in the core of stars, the only interaction that matters is the interaction of neutrinos with electrons, protons and neutrons (present at very high densities inside the core of stars). However, there is one situation where neutrino-neutrino interaction can be important: within the core of supernova. There, the neutrino flux is so high that the neutrino self interaction becomes important and modifies the phenomena of neutrino oscillation in a drastic manner.
You may be aware of the phenomena of neutrino oscillations where neutrinos behave as a pendulum that oscillates between two flavours, say, nu_mu and nu_tau. Like a pendulum, they change their flavor constantly between muon and tauon flavors. In the core of star where neutrino interacts with matter, the neutrino-matter interaction modifies just the period of oscillation and the contributions of different normal modes.
However, the neutrino-neutrino interactions inside a supernova modifies the period of oscillation and the contributions of different normal modes, they couple all such neutrino flavors oscillators together in a nonlinear way. So, all of them may oscillate collectively. The are called collective oscillations.
If you need a serious introduction to these topics, read some popular articles on neutrino flavor conversion and collective oscillations.
Neutrinos can see other neutrinos through Weak Interaction, one of the 4 interactions of Nature. However, that interaction is very weak to have any effect on the neutrino properties. Even in the core of stars, the only interaction that matters is the interaction of neutrinos with electrons, protons and neutrons (present at very high densities inside the core of stars). However, there is one situation where neutrino-neutrino interaction can be important: within the core of supernova. There, the neutrino flux is so high that the neutrino self interaction becomes important and modifies the phenomena of neutrino oscillation in a drastic manner.
You may be aware of the phenomena of neutrino oscillations where neutrinos behave as a pendulum that oscillates between two flavours, say, nu_mu and nu_tau. Like a pendulum, they change their flavor constantly between muon and tauon flavors. In the core of star where neutrino interacts with matter, the neutrino-matter interaction modifies just the period of oscillation and the contributions of different normal modes.
However, the neutrino-neutrino interactions inside a supernova modifies the period of oscillation and the contributions of different normal modes, they couple all such neutrino flavors oscillators together in a nonlinear way. So, all of them may oscillate collectively. The are called collective oscillations.
If you need a serious introduction to these topics, read some popular articles on neutrino flavor conversion and collective oscillations.
A reference link is,
http://www.quantumdiaries.org/2010/06/06/neutrinos/
Neutrinos couple the weak neutral boson or the Z boson.
Neutrinos can also change flavor by the interaction
with scalars. Those are Yukawa couplings. I am attaching
the picture of Z coupling which I got from the above link.
Thanks @Sanjeev Verma for your insightful discussion:
"neutrino-neutrino interactions inside a supernova ..............."
can you please cite one or more research article regarding the issue.
@Shashank Shalgar. I am a neophyte in the field. With my background of reading nu oscillation theories I, myself, have thought of nu self interactions only to find that it has been considered by active researchers like you, thanks to responses of Sanjeev Verma and you in Q&A here.
I have already downloaded all the papers cited by you in your response above and wish to go through them at earliest. Right now what I am thinking are:
Having said that in coherent elastic forward scattering of nu on e, p, n in Sun and in Earth is of considerable significance with momentum of the particles remaining unchanged or mutually exchanged, what about nu self interaction in Supernovae (scattering or not):
- flavor change or not in vertices
- chirality change or not in vertices
with or without
- oscillation-induced-neutrino-flavor-change
- Lorentz-CPT violation.
I am particularly interested with diagrams in different conditions above and amplitude calculations.
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