The Galaxy Power Spectrum and Bispectrum in Redshift Space. (arXiv:1806.04015v2 [astro-ph.CO] UPDATED)
<a href="http://arxiv.org/find/astro-ph/1/au:+Desjacques_V/0/1/0/all/0/1">Vincent Desjacques</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Jeong_D/0/1/0/all/0/1">Donghui Jeong</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Schmidt_F/0/1/0/all/0/1">Fabian Schmidt</a>
We present the complete expression for the next-to-leading (1-loop) order
galaxy power spectrum and the leading-order galaxy bispectrum in redshift space
in the general bias expansion, or equivalently the effective field theory of
biased tracers. We consistently include all line-of-sight dependent selection
effects. These are degenerate with many, but not all, of the redshift-space
distortion contributions, and have not been consistently derived before.
Moreover, we show that, in the framework of effective field theory, a
consistent bias expansion in redshift space must include these selection
contributions. Physical arguments about the tracer sample considered and its
observational selection have to be used to justify neglecting the selection
contributions. In summary, the next-to-leading order galaxy power spectrum and
leading-order galaxy bispectrum in the general bias expansion are described by
22 parameters, which reduces to 11 parameters if selection effects can be
neglected. All contributions to the power spectrum can be written in terms of
28 independent loop integrals.
We present the complete expression for the next-to-leading (1-loop) order
galaxy power spectrum and the leading-order galaxy bispectrum in redshift space
in the general bias expansion, or equivalently the effective field theory of
biased tracers. We consistently include all line-of-sight dependent selection
effects. These are degenerate with many, but not all, of the redshift-space
distortion contributions, and have not been consistently derived before.
Moreover, we show that, in the framework of effective field theory, a
consistent bias expansion in redshift space must include these selection
contributions. Physical arguments about the tracer sample considered and its
observational selection have to be used to justify neglecting the selection
contributions. In summary, the next-to-leading order galaxy power spectrum and
leading-order galaxy bispectrum in the general bias expansion are described by
22 parameters, which reduces to 11 parameters if selection effects can be
neglected. All contributions to the power spectrum can be written in terms of
28 independent loop integrals.
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