Constraints on long range force from perihelion precession of planets in a gauged $$L_e-L_{\mu ,\tau }$$ scenario

@article{Poddar2020ConstraintsOL,
  title={Constraints on long range force from perihelion precession of planets in a gauged \$\$L\_e-L\_\{\mu ,\tau \}\$\$ scenario},
  author={Tanmay Kumar Poddar and Subhendra Mohanty and Soumya Jana},
  journal={arXiv: High Energy Physics - Phenomenology},
  year={2020}
}
The standard model particles can be gauged in an anomaly free way by three possible gauge symmetries namely ${L_e-L_\mu}$, ${L_e-L_\tau}$, and ${L_\mu-L_\tau}$. Of these, ${L_e-L_\mu}$ and ${L_e-L_\tau}$ forces can mediate between the Sun and the planets and change the perihelion precession of planetary orbits. It is well known that a deviation from the $1/r^2$ Newtonian force can give rise to a perihelion advancement in the planetary orbit, for instance, as in the well known case of Einstein's… 

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