We generalize the recently derived single-field consistency relations of Large Scale Structure in two directions.
First, we treat the effect of the long modes (with momentum q) on the short ones (with momentum k) non-perturbatively, by writing resummed consistency relations which do not require k/q \delta_q << 1.
These relations do not make any assumptions on the short-scales physics and are extended to include (an arbitrary number of) multiple long modes, internal lines with soft momenta and soft loops.
We do several checks of these relations in perturbation theory and we verify that the effect of soft modes always cancels out in equal-time correlators.
Built on
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F. Bernardeau, S. Colombi, E. Gaztanaga and R. Scoccimarro, “Large scale structure of the universe and cosmological perturbation theory,” Phys. Rept