Question about Neutrino oscillation

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Discussion Overview

The discussion revolves around the topic of neutrino oscillation, specifically focusing on the calculation and relationship between mass eigenstates, weak eigenstates, and mass eigenvalues. Participants explore theoretical aspects and implications of measurements related to neutrino properties.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant inquires about how to calculate mass eigenstates and weak eigenstates of neutrinos, questioning the ability to obtain mass eigenvalues from these calculations.
  • Another participant explains that diagonalizing a mass matrix yields mass eigenvalues and a transformation matrix, but emphasizes that mass eigenvalues are independent of mixing angles, which have been measured.
  • A follow-up question seeks clarification on whether mass eigenvalues can be obtained through calculations, indicating uncertainty about the process.
  • It is noted that the masses cannot be calculated solely from the measured parameters (mixing angles and mass squared differences), as the absolute mass scale is an independent parameter.

Areas of Agreement / Disagreement

Participants express uncertainty regarding the calculation of mass eigenvalues and the relationship between measured parameters and mass eigenstates. There is no consensus on the ability to derive mass eigenvalues from the current measurements.

Contextual Notes

The discussion highlights limitations in deriving absolute mass values from mixing angles and mass squared differences, indicating that additional parameters are necessary for a complete understanding.

s3d18
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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.
 
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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)
 
ofirg said:
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?
 
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.
 

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