Effect of low mass dark matter particles on the Sun
  We study the effect of dark matter (DM) particles in the Sun, focusing in
particular on the possible reduction of the solar neutrinos flux due to the
energy carried away by DM particles from the innermost regions of the Sun, and
to the consequent reduction of the temperature of the solar core. We find that
in the very low-mass range between 4 and 10 GeV, recently advocated to explain
the findings of the DAMA and CoGent experiments, the effects on neutrino fluxes
are detectable only for DM models with very small, or vanishing,
self-annihilation cross section, such as the so-called asymmetric DM models,
and we study the combination of DM masses and Spin Dependent cross sections
which can be excluded with current solar neutrino data. Finally, we revisit the
recent claim that DM models with large self-interacting cross sections can lead
to a modification of the position of the convective zone, alleviating or
solving the solar composition problem. We show that when the `geometric' upper
limit on the capture rate is correctly taken into account, the effects of DM
are reduced by orders of magnitude, and the position of the convective zone
remains unchanged.
