The protophobic $X$-boson unified to the quantum electrodynamics

M. J. Neves

Published 2017-04-08Version 1

The possible being of a $X$-boson with mass around the $17 \, \mbox{MeV}$ motivates us to construct its unification with the Quantum Electrodynamics (QED). This hypothetical particle would be a candidate to describe a Fifth Interaction, in a new physics beyond the Standard Model. The unification of the $X$-boson with the QED is based on composite symmetry $U(1)_{em} \times U(1)_{X}$, in which the group $U(1)_{X}$ is attached to the $X$-boson. The Higgs sector is constructed to generate a mass for the new boson, and so the mass of $17 \, \mbox{MeV}$ fixes the vacuum expected value scale. Thereby, we can estimate the mass of the hidden Higgs field through the VEV-scale and the weaker coupling constants. The model of quantum field theory is so constructed in a renormalizable gauge. Posteriorly, the radiative correction in the propagator of the $X$-boson is calculated at the one loop approximation. Furthermore, we also calculate the form factors associated with the QED-vertex correction. The precision of the electron's anomalous magnetic moment is useful to estimate the interaction magnitude of the $X$-boson with the fermions of the Standard Model.