The IR-resummed Effective Field Theory of Large Scale Structures
  We present a new method to resum the effect of large scale motions in the
Effective Field Theory of Large Scale Structures. Because the linear power
spectrum in $\Lambda$CDM is not scale free the effects of the large scale flows
are enhanced. Although previous EFT calculations of the equal-time density
power spectrum at one and two loops showed a remarkable agreement with
numerical results, they also showed a 2% residual which appeared related to the
BAO oscillations. We show that this was indeed the case, explain the physical
origin and show how a Lagrangian based calculation removes this differences. We
propose a simple method to upgrade existing Eulerian calculations to
effectively make them Lagrangian and compare the new results with existing fits
to numerical simulations. Our new two-loop results agrees with numerical
results up to $k\sim 0.6 h/$Mpc to within 1% with no oscillatory residuals. We
also compute power spectra involving momentum which is significantly more
affected by the large scale flows. We show how keeping track of these
velocities significantly enhances the UV reach of the momentum power spectrum
in addition to removing the BAO related residuals. We compute predictions for
the real space correlation function around the BAO scale and investigate its
sensitivity to the EFT parameters and the details of the resummation technique.
