1304.4226 (Takahiko Matsubara)

Integrated Perturbation Theory and One-loop Power Spectra of Biased Tracers    [PDF]

Takahiko Matsubara

Explicit predictions of the integrated perturbation theory (iPT) for power spectra of biased tracers are generally derived in the one-loop approximation. The iPT is a general framework of the nonlinear perturbation theory of cosmological density fields in presence of bias, redshift-space distortions, and primordial non-Gaussianity. Analytic formulas of auto and cross power spectra of biased tracers including effects of redshift-space distortions and primordial non-Gaussianity are comprehensively derived and summarized in the one-loop approximation of gravitational nonlinearity. Relations to recent work on nonlinear perturbation theories in literature are clarified and discussed.

View original: http://arxiv.org/abs/1304.4226