$\nu$Galileon: modified gravity with massive neutrinos as a testable   alternative to $\Lambda$CDM
  We show that, in the presence of massive neutrinos, the Galileon gravity model provides a very good fit to the current CMB temperature, CMB lensing and BAO data. This model, which we dub ${\nu} \rm{Galileon}$, when assuming its stable attractor background solution, contains the same set of free parameters as $\Lambda\rm{CDM}$, although it leads to different expansion dynamics and nontrivial gravitational interactions. The data provide compelling evidence ($\gtrsim 6\sigma$) for nonzero neutrino masses, with $\Sigma m_\nu \gtrsim 0.4\ {\rm eV}$ at the $2\sigma$ level. Upcoming precision terrestrial measurements of the absolute neutrino mass scale therefore have the potential to test this model. We show that CMB lensing measurements at multipoles $l \lesssim 40$ will be able to discriminate between the ${\nu} \rm{Galileon}$ and $\Lambda\rm{CDM}$ models. Unlike $\Lambda\rm{CDM}$, the ${\nu} \rm{Galileon}$ model is consistent with local determinations of the Hubble parameter. The presence of massive neutrinos lowers the value of $\sigma_8$ substantially, despite of the enhanced gravitational strength on large scales. Unlike $\Lambda\rm{CDM}$, the ${\nu} \rm{Galileon}$ model predicts a negative ISW effect, which is difficult to reconcile with current observational limits. 
Alexandre Barreira (ICC and IPPP, Durham), Baojiu Li (ICC, Durham),   Carlton Baugh (ICC, Durham), Silvia Pascoli (IPPP, Durham)
astro-ph.CO