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

2013/07/29 by Anirbit Mukherjee, Mukherjee, Anirbit
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #Data Analysis #FOS: Physical sciences #Galaxies: Formation, Evolution, Phenomena #General Relativity and Quantum Cosmology (gr-qc) #Statistics and Probability (physics.data-an) #astro-ph.CO #gr-qc #physics.data-an

paper · pdf · doi:10.48550/arxiv.1307.7714

23 pages

openalex publication_date 2013/07/29 · arxiv created 2015/12/04 · arxiv updated 2015/12/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• TASI Lectures on Inflation
• Peak-Background Split, Renormalization, and Galaxy Clustering

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