Could Second Generation of Weak Bosons Explain the Reduction of Proton Charge Radius?

Abstract

The discovery of Pohl et al that the charge radius of proton deduced from muonic atom is smaller than that predicted by QED applied to hydrogen atom seems to be established now. The finding can be interpreted in terms of breaking of universality of electroweak interactions. Also the anomalous value of the magnetic moment of muon and decays of neutral B meson give evidence for the breaking of universality caused by a coupling to a new heavy boson. TGD predicts two new gauge boson families and there is an experimental indication suggests that the mass scale of second electroweak boson generation is 2.9 TeV also predicted by assuming that these bosons correspond to p-adic length scale assignable to Gaussian Mersenne M_G,79 so that mass scale would be 32 times that of weak bosons assignable to Mersenne prime M₈₉. The charge matrices of the higher boson generations are mutually orthogonal and necessarily break universality. The exchange of second generation photon and Z₀ boson might explain the anomaly by introducing Yukawa term to the Coulomb potential. It is found that the sign and the order of magnitude for the effect are correct for reasonable choices of the unknown parameters.