Thursday, 8 April 2021
Axial force doesn't explain Muon G-2 (Anomalus Magnetic Moment)
In the axial force exist and interacts purely with quarks and neutrinos which is how we have currently be looking at, it cannot explain muon G-2 now widely reported to be 4.2 standard deviations away from the standard model prediction.
Under our model, the leading contribution to the magnetic moment of the muon is due to the diagram below, which is the standard leading W contribution with an axial force
photon connecting the muon neutrino and one of the W particles. Their are 3 active copies of this diagram, with permuting the axial force vertices between the W and neutrinos, and allowing for a vertice between the two Ws. Plus another 3, where the axial force loop goes back to the originating line.
With the weak force and no axial force, the one loop contribution is, Rosetti, Castro & Pestieau, is 3.889e-9.
While the experimental difference, is around 2.9e-9. But the axial force contribution, picks up
a fractor of 6 times the axial force strength coupling strength square or 6*4 pi alpha_a * the Weak contribution. To account for the anomaly the axial force would have a have the strengh \alpha=1/32 some five times stronger than the electromagnetic force, we had expected the strengh to be some 1/60 as strong as the electromagnetic force. It is highly doubtful that such a strong axial force could have been missed. It should be noted that while a force on an electron is highly constrained, a electronophobic neutrinophilic interaction not so much, they would however be a force on quarks leading to invisible energy lost in Hadron Jets.
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