Helioseismology with long range dark matter-baryon interactions

Assuming the existence of a primordial asymmetry in the dark sector, we study how DM-baryon long-range interactions, induced by the kinetic mixing of a new $U(1)$ gauge boson and the photon, affects the evolution of the Sun and in turn the sound speed profile obtained from helioseismology. Thanks to the explicit dependence on the exchanged momenta in the differential cross section (Rutherford-like scattering), we find that dark matter particles with a mass of $\sim 10\;{\rm GeV}$, kinetic mixing parameter of the order of $10^{-9}$ and a mediator with a mass smaller than a few MeV improve the agreement between the best solar model and the helioseismic data without being excluded by direct detection experiments. In particular, the \LUX\ detector will soon be able to either constrain or confirm our best fit solar model in the presence of a dark sector with long-range interactions that reconcile helioseismology with thermal neutrino results.