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arxiv: 1307.7714 · v2 · pith:NXXXG6HUnew · submitted 2013-07-29 · 🌌 astro-ph.CO · gr-qc· physics.data-an

N-point correlations of dark matter tracers : Renormalization with univariate biasing and its O(f_(NL)) terms with bivariate biasing

classification 🌌 astro-ph.CO gr-qcphysics.data-an
keywords biasingmodeln-pointbivariateextendgalaxytermstracers
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In this note we extend the results of the model of galaxy biasing recently proposed in (http://arxiv.org/abs/1212.0868v2). In that paper the authors had outlined a very precise mathematical framework to deal with the theory of galaxy biasing. In this work we extend that combinatorial technology to renormalize tracer n-point functions in their model of univariate biasing. We further prove that 4 and higher point cumulants of the Bardeen potential don't have an O(f_{NL}) term. Then we use this observation to extract all the O(f_{NL}) terms in the n-point correlation of tracers in their model of bivariate biasing.

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