Quantum Physics


Neutrino Mass, Electroweak Coupling Constant and Weak Mixing Angle

Authors: Jacob Biemond

A formula for the magnetic moment of a massive Dirac neutrino was deduced in the context of electroweak interactions at the one-loop level in 1977. A linear dependence on the neutrino mass was found. Alternatively, a magnetic moment for a massive neutrino arising from gravitational origin is predicted by the so-called Wilson-Blackett law. Both formulas for the magnetic moment can be combined, yielding a value of 1.530 meV for the lightest neutrino mass m1.

The remaining neutrino masses can then be calculated from recent neutrino oscillation experiments. The results are remarkable. First, the so-called geometric mean mass relation between the three neutrino masses m1, m2 and m3 is in good agreement with our results. Moreover, the empirical ratio of m3 to m1 is close to 33. This result suggests a value of 32 for the reciprocal value of the electroweak coupling constant αW at low energy. The latter value for αW implies an electroweak mixing angle, in reasonable agreement with the value calculated from atomic parity violation experiments on cesium. The obtained result deviates, however, from the weak mixing angle deduced from the standard model.

Comments: 5 Pages, including 1 table

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Submission history

[v1] 2019-04-16 10:25:21

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