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@ARTICLE{BenDayan:291981,
      author       = {Ben-Dayan, Ido and Konstandin, Thomas and Porto, Rafael A.
                      and Sagunski, Laura},
      title        = {{O}n soft limits of large-scale structure correlation
                      functions},
      journal      = {Journal of cosmology and astroparticle physics},
      volume       = {2015},
      number       = {02},
      issn         = {1475-7516},
      address      = {London},
      publisher    = {IOP},
      reportid     = {PUBDB-2015-05715, DESY-14-215. arXiv:1411.3225},
      pages        = {026 -},
      year         = {2015},
      note         = {OA},
      abstract     = {We study soft limits of correlation functions for the
                      density and velocity fields in the theory of structure
                      formation. First, we re-derive the (resummed) consistency
                      conditions at unequal times using the eikonal approximation.
                      These are solely based on symmetry arguments and are
                      therefore universal. Then, we explore the existence of
                      equal-time relations in the soft limit which, on the other
                      hand, depend on the interplay between soft and hard modes.
                      We scrutinize two approaches in the literature: the
                      time-flow formalism, and a background method where the soft
                      mode is absorbed into a locally curved cosmology. The latter
                      has been recently used to set up (angular averaged)
                      `equal-time consistency relations'. We explicitly
                      demonstrate that the time-flow relations and `equal-time
                      consistency conditions' are only fulfilled at the linear
                      level, and fail at next-to-leading order for an Einstein
                      de-Sitter universe. While applied to the velocities both
                      proposals break down beyond leading order, we find that the
                      `equal-time consistency conditions' quantitatively
                      approximates the perturbative results for the density
                      contrast. Thus, we generalize the background method to
                      properly incorporate the effect of curvature in the density
                      and velocity fluctuations on short scales, and discuss the
                      reasons behind this discrepancy. We conclude with a few
                      comments on practical implementations and future
                      directions.},
      cin          = {T},
      ddc          = {530},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {514 - Theoretical Particle Physics (POF2-514)},
      pid          = {G:(DE-HGF)POF2-514},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)29 / PUB:(DE-HGF)16},
      eprint       = {1411.3225},
      howpublished = {arXiv:1411.3225},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:1411.3225;\%\%$},
      UT           = {WOS:000351502100027},
      doi          = {10.1088/1475-7516/2015/02/026},
      url          = {https://bib-pubdb1.desy.de/record/291981},
}