Question about Neutrino oscillation

[s3d18]

i would like to ask a few questions about Neutrino oscillation

1) How can i calculate/obtain the mass eigenstates and weak eigenstates of neutrino
if we can get those, then how come we cannot obtain the mass eigenvalues.

2) why we know the relation between mass eigenstates and weak eigenstates (the relation involve PMNS matrix) in the beginning.

Thank you.

 

[ofirg]

I'm not sure I understand what your asking.

1) When you diagonalize a mass matrix (or any matrix for that matter) you have the eigenvalues ( mass eigenvalues) and the transformation matrix from the mass eigenstates basis to the weak eigenstate basis (which includes the mixing angles and pssible phases).

The mass eigenvalues are independent of the mixing angles. Therefore knowing the mixing angles (which have been measured) doesn't determine the masses.


2) we know the relation because we measure the mixing angles in oscillation experiments ( to a certain accuracy)

 

[s3d18]

I'm not sure I understand what your asking.

1) When you diagonalize a mass matrix (or any matrix for that matter) you have the eigenvalues ( mass eigenvalues) and the transformation matrix from the mass eigenstates basis to the weak eigenstate basis (which includes the mixing angles and pssible phases).

The mass eigenvalues are independent of the mixing angles. Therefore knowing the mixing angles (which have been measured) doesn't determine the masses.


2) we know the relation because we measure the mixing angles in oscillation experiments ( to a certain accuracy)

Thank you.
So, we cannot obtain the mass eigenvalues through the calculation?

 

[ofirg]

So, we cannot obtain the mass eigenvalues through the calculation?

We can't calculate the masses from the parameters measured so far (mixing angles and mass squared differences). The absolute mass scale is an additional independent parameter.