Classical electrodynamics and gauge symmetry of the X-boson

Abstract

In this paper we have obtained several new results concerning the X-boson, which is being considered recently as one of the main candidate of the dark matter particle content. The classical electrodynamics for the X-boson model was explored to understand its propagation in space-time. The field equations (Maxwell-type) and the corresponding wave equations were obtained. They indicate the dispersion relations of both a massive and massless particles. These results can be interpreted as a photon and the X-boson (with a mass of 17 MeV), respectively. The gauge symmetry and gauge transformations were discussed. A full model diagonalization was introduced to obtain a Maxwell sector added up to a Proca sector. After that, we have obtained the retarded Green functions which yield the inhomogeneous solutions of the wave equations for the X-boson fields. We have applied this solution to the charge point motion, and we transformed the potential solution to a quadrature problem. In particular, as an example, we have analyzed the point charge in a straight line uniform motion, where the corresponding electromagnetic charge were calculated.

Atomki anomaly in gauged U(1)R symmetric model

“…The vector boson hypothesis was firstly studied in [9,10] in a gauged B − L symmetric model, taking various experimental constraints into account. Then, many models have been proposed in contexts of an extra U(1) gauge symmetry [11][12][13], dark matter [14][15][16], neutrino physics [17], lepton anomalous magnetic moments [18][19][20] and others [21][22][23][24][25]. Experimental searches of the X boson are also studied in [26][27][28][29].…”

Explaining Atomki anomaly and muon g − 2 in U(1)X extended flavour violating two Higgs doublet model

“…local B −L model [8][9][10], local Baryon number model [9], extra U(1) gauge symmetry models [11][12][13][14][15], discussion associated with dark matter [16][17][18], and flavour physics etc. [19][20][21][22][23][24][25][26][27][28][29][30].…”

Atomki anomaly in gauged $U(1)_R$ symmetric model

“…Vector boson hypothesis was firstly studied in [9,10] in a gauged B − L symmetric model, taking various experimental constraints into account. Then, many models have been proposed in contexts of an extra U(1) gauge symmetry [11][12][13], dark matter [14][15][16], neutrino physics [17], lepton anomalous magnetic moments [18][19][20] and others [21][22][23][24][25]. Experimental searches of the X boson are also studied in [26][27][28][29].…”