Precision cosmology with redshift-space bispectrum: a perturbation theory based model at one-loop order

The large-scale matter distribution in the late-time Universe exhibits gravity-induced non-Gaussianity, and the bispectrum, three-point cumulant is expected to contain significant cosmological information. In particular, the measurement of the bispectrum helps to tighten the constraints on dark energy and modified gravity through the redshift-space distortions (RSD). In this paper, extending the work by Taruya, Nishimichi & Saito (2010, Phys.Rev.D 82, 063522), we present a perturbation theory (PT) based model of redshift-space matter bispectrum that can keep the non-perturbative damping effect under control. Characterizing this non-perturbative damping by a univariate function with single free parameter, the PT model of the redshift-space bispectrum is tested against a large set of cosmological $N$-body simulations, finding that the predicted monopole and quadrupole moments are in a good agreement with simulations at the scales of baryon acoustic oscillations (well beyond the range of agreement of standard PT). The validity of the univariate ansatz of the damping effect is also examined, and with the PT calculation at next-to-leading order, the fitted values of the free parameter is shown to consistently match those obtained from the PT model of power spectrum by Taruya, Nishimichi & Saito (2010).Comment: 21 pages, 13 figure

宇宙論的な重力テストの精密化に向けた摂動論に基づく赤方偏移空間バイスペクトルの研究

京都大学0048新制・課程博士博士(理学)甲第20908号理博第4360号新制||理||1626(附属図書館)京都大学大学院理学研究科物理学・宇宙物理学専攻(主査)准教授 樽家 篤史, 教授 佐々木 節, 教授 川合 光学位規則第4条第1項該当Doctor of ScienceKyoto UniversityDFA