Heterocyclic Thione S-Imides and S-Oxides. Preparation From Thiones

Saito, Takao; Koide, Atsuo; Kikuchi, Yusaku; Motoki, Shinichi

doi:10.1080/03086648308077536

Cited by 11 publications

(9 citation statements)

References 19 publications

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“…We find that b s does not seem to matter much assuming its values from the bispectrum analysis [39,55], or its values from the coevolution model assuming it is zero in initial conditions, and so can be ignored. In contrast, b 2 and b 3,nl appear to be equally important [38,59]. For the terms we are discussing, this gives Figure 6.…”

Section: P (Hh) 01mentioning

confidence: 90%

“…Modelling the biasing of dark matter halos beyond the linear bias b 1 introduces additional 1-loop terms in perturbative approach. These terms are labeled here with K ij and will show up in the first few moment power spectra P hh 00 , P hh 01 , P hh 02 , where b 2 , b s and b 3,nl (the nonlocal third order bias [38,40,59]) appear at 1-loop level. In figure 1 we show the k-dependence of K ij terms.…”

Section: Nonlinear Bias Terms K Ijmentioning

confidence: 99%

“…Taking into account also the k-dependence of these terms we can see that effectively b s effects can be absorbed in the renormalized b 2 value. For b 3,nl the corresponding trispectrum analysis has not been performed yet, but a power spectrum analysis together with the coevolution values [59] suggests that it can be important relative to b 2 .…”

Section: Nonlinear Bias Terms K Ijmentioning

confidence: 99%

“…where σ 3,k is defined in [38] and for detailed discussion of these terms we refer to [59]. The coevolution model predicts a specific value for b 3,nl today assuming it is zero initially [39].…”

Section: P (Hh) 01mentioning

confidence: 99%

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Distribution function approach to redshift space distortions. Part V: perturbation theory applied to dark matter halos

Vlah¹,

Seljak²,

Okumura³

et al. 2013

J. Cosmol. Astropart. Phys.

129

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Abstract. Numerical simulations show that redshift space distortions (RSD) introduce strong scale dependence in the power spectra of halos, with ten percent deviations relative to linear theory predictions even on relatively large scales (k < 0.1h/M pc) and even in the absence of satellites (which induce Fingers-of-God, FoG, effects). If unmodeled these effects prevent one from extracting cosmological information from RSD surveys. In this paper we use Eulerian perturbation theory (PT) and Eulerian halo biasing model and apply it to the distribution function approach to RSD, in which RSD is decomposed into several correlators of density weighted velocity moments. We model each of these correlators using PT and compare the results to simulations over a wide range of halo masses and redshifts. We find that with an introduction of a physically motivated halo biasing, and using dark matter power spectra from simulations, we can reproduce the simulation results at a percent level on scales up to k ∼ 0.15h/M pc at z = 0, without the need to have free FoG parameters in the model.

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Section: P (Hh) 01mentioning

confidence: 90%

Section: Nonlinear Bias Terms K Ijmentioning

confidence: 99%

Section: Nonlinear Bias Terms K Ijmentioning

confidence: 99%

Section: P (Hh) 01mentioning

confidence: 99%

See 2 more Smart Citations

Distribution function approach to redshift space distortions. Part V: perturbation theory applied to dark matter halos

Vlah¹,

Seljak²,

Okumura³

et al. 2013

J. Cosmol. Astropart. Phys.

129

View full text Add to dashboard Cite

show abstract

“…where P 00 and P 01 have different values for quadratic, local bias b 2 (see [14] for further discussion). Although it is not included in this parametrization, the contribution from a non-local third-order bias, b NL 3 [51], remains significant and is responsible for the two different values of b 2 . We would have obtained similar results with a bias parametrization using…”

Section: Halo Biasingmentioning

confidence: 99%

Geometric and dynamic distortions in anisotropic galaxy clustering

Blazek

Seljak

Vlah

et al. 2014

J. Cosmol. Astropart. Phys.

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Abstract. We examine the signature of dynamic (redshift-space) distortions and geometric distortions (including the Alcock-Paczynski effect) in the context of the galaxy power spectrum measured in upcoming galaxy redshift surveys. Information comes from both the baryon acoustic oscillation (BAO) feature and the broadband power spectrum shape. Accurate modeling is required to extract this information without systematically biasing the result. We consider an analytic model for the power spectrum of dark matter halos in redshift space, based on the distribution function expansion, and compare with halo clustering measured in N-body simulations. We forecast that the distribution function model is sufficiently accurate to allow the inclusion of broadband information on scales down to k ∼ 0.2h Mpc −1 , with somewhat better accuracy for higher bias halos. Compared with a BAO-only analysis with reconstruction, including broadband shape information can improve unbiased constraints on distance measures H(z) and D A (z) by ∼ 30% and 20%, respectively, for a galaxy sample similar to the DESI luminous red galaxies. The gains in precision are larger in the absence of BAO reconstruction. Furthermore, including broadband shape information allows the measurement of structure growth, through redshift-space distortions. For the same galaxy sample, the distribution function model is able to constrain f σ 8 to ∼ 2%, when simultaneously fitting for H(z) and D A (z). We discuss techniques to optimize the analysis of the power spectrum, including removing modes near the line-of-sight that are particularly challenging to model, and whether these approaches can improve parameter constraints. We find that such techniques are unlikely to significantly improve constraints on geometry, although they may allow higher precision measurements of redshift-space distortions.

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References

1996

Chemistry of Heterocyclic Compounds: A Series of Monographs

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Heterocyclic Thione S-Imides and S-Oxides. Preparation From Thiones

Cited by 11 publications

References 19 publications

Distribution function approach to redshift space distortions. Part V: perturbation theory applied to dark matter halos

Distribution function approach to redshift space distortions. Part V: perturbation theory applied to dark matter halos

Geometric and dynamic distortions in anisotropic galaxy clustering

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