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Model of boson and fermion particle masses

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Abstract

The boson and fermion particle masses are calculated in a finite quantum field theory. The field theory satisfies Poincaré invariance, unitarity and microscopic causality, and all loop graphs are finite to all orders of perturbation theory. The infinite derivative nonlocal field interactions are regularized with a mass (length) scale parameter \(\Lambda _i\). The W, Z and Higgs boson masses are calculated from finite one-loop self-energy graphs. The \(W^{\pm }\) mass is predicted to be \(M_W=80.05\) GeV, and the higher order radiative corrections to the Higgs boson mass \(m_\mathrm{H}=125\) GeV are damped out above the regulating mass scale parameter \(\Lambda _H=1.57\) TeV. The three generations of quark and lepton masses are calculated from finite one-loop self-interactions, and there is an exponential spacing in mass between the quarks and leptons.

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Acknowledgements

I thank Martin Green and Viktor Toth for helpful discussions. Research at the Perimeter Institute for Theoretical Physics is supported by the Government of Canada through industry Canada and by the Province of Ontario through the Ministry of Research and Innovation (MRI).

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Authors and Affiliations

  1. Perimeter Institute for Theoretical Physics, Waterloo, Ontario, N2L 2Y5, Canada

    J. W. Moffat

  2. Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada

    J. W. Moffat

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Moffat, J.W. Model of boson and fermion particle masses. Eur. Phys. J. Plus 136, 601 (2021). https://doi.org/10.1140/epjp/s13360-021-01608-4

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