Vector gauge boson radiation from compact binary systems in a gauged $L_\mu-L_\tau$ scenario

Understand

The orbital period of a compact binary system decays mainly due to quadrupole gravitational radiation, which agrees with the observation to within one percent.

• Other types of radiation such as ultralight scalar or pseudoscalar radiation, massive vector boson radiation also contribute to the decay of orbital period as long as the mass of the emitted particle is less than the orbital frequency of the compact binary system.
• We obtain an expression of the energy loss due to the radiation of massive vector field from the neutron star-neutron star and neutron star-white dwarf binaries.
• Due to large chemical potential of the degenerate electrons, neutron stars have large muon charge.