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The Halo Mass Function from Excursion Set Theory with a Non-Gaussian Trispectrum

A sizeable level of non-Gaussianity in the primordial cosmological perturbations may be induced by a large trispectrum, i.e. by a large connected four-point correlation function. We compute the effect of a primordial non-Gaussian trispectrum on the halo mass function, within excursion set theory. We...

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Detalles Bibliográficos
Autores principales: Maggiore, Michele, Riotto, Antonio
Lenguaje:eng
Publicado: 2009
Materias:
Acceso en línea:https://dx.doi.org/10.1111/j.1365-2966.2010.16543.x
http://cds.cern.ch/record/1215425
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author Maggiore, Michele
Riotto, Antonio
author_facet Maggiore, Michele
Riotto, Antonio
author_sort Maggiore, Michele
collection CERN
description A sizeable level of non-Gaussianity in the primordial cosmological perturbations may be induced by a large trispectrum, i.e. by a large connected four-point correlation function. We compute the effect of a primordial non-Gaussian trispectrum on the halo mass function, within excursion set theory. We use the formalism that we have developed in a previous series of papers and which allows us to take into account the fact that, in the presence of non-Gaussianity, the stochastic evolution of the smoothed density field, as a function of the smoothing scale, is non-markovian. In the large mass limit, the leading-order term that we find agrees with the leading-order term of the results found in the literature using a more heuristic Press-Schecther (PS)-type approach. Our approach however also allows us to evaluate consistently the subleading terms, which depend not only on the four-point cumulant but also on derivatives of the four-point correlator, and which cannot be obtained within non-Gaussian extensions of PS theory. We perform explicitly the computation up to next-to-leading order.
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spelling cern-12154252023-03-14T16:40:59Zdoi:10.1111/j.1365-2966.2010.16543.xhttp://cds.cern.ch/record/1215425engMaggiore, MicheleRiotto, AntonioThe Halo Mass Function from Excursion Set Theory with a Non-Gaussian TrispectrumAstrophysics and AstronomyA sizeable level of non-Gaussianity in the primordial cosmological perturbations may be induced by a large trispectrum, i.e. by a large connected four-point correlation function. We compute the effect of a primordial non-Gaussian trispectrum on the halo mass function, within excursion set theory. We use the formalism that we have developed in a previous series of papers and which allows us to take into account the fact that, in the presence of non-Gaussianity, the stochastic evolution of the smoothed density field, as a function of the smoothing scale, is non-markovian. In the large mass limit, the leading-order term that we find agrees with the leading-order term of the results found in the literature using a more heuristic Press-Schecther (PS)-type approach. Our approach however also allows us to evaluate consistently the subleading terms, which depend not only on the four-point cumulant but also on derivatives of the four-point correlator, and which cannot be obtained within non-Gaussian extensions of PS theory. We perform explicitly the computation up to next-to-leading order.A sizeable level of non-Gaussianity in the primordial cosmological perturbations may be induced by a large trispectrum, i.e. by a large connected four-point correlation function. We compute the effect of a primordial non-Gaussian trispectrum on the halo mass function, within excursion set theory. We use the formalism that we have developed in a previous series of papers and which allows us to take into account the fact that, in the presence of non-Gaussianity, the stochastic evolution of the smoothed density field, as a function of the smoothing scale, is non-markovian. In the large mass limit, the leading-order term that we find agrees with the leading-order term of the results found in the literature using a more heuristic Press-Schecther (PS)-type approach. Our approach however also allows us to evaluate consistently the subleading terms, which depend not only on the four-point cumulant but also on derivatives of the four-point correlator, and which cannot be obtained within non-Gaussian extensions of PS theory. We perform explicitly the computation up to next-to-leading order.arXiv:0910.5125CERN-PH-TH-2009-204CERN-PH-TH-2009-204oai:cds.cern.ch:12154252009-10-28
spellingShingle Astrophysics and Astronomy
Maggiore, Michele
Riotto, Antonio
The Halo Mass Function from Excursion Set Theory with a Non-Gaussian Trispectrum
title The Halo Mass Function from Excursion Set Theory with a Non-Gaussian Trispectrum
title_full The Halo Mass Function from Excursion Set Theory with a Non-Gaussian Trispectrum
title_fullStr The Halo Mass Function from Excursion Set Theory with a Non-Gaussian Trispectrum
title_full_unstemmed The Halo Mass Function from Excursion Set Theory with a Non-Gaussian Trispectrum
title_short The Halo Mass Function from Excursion Set Theory with a Non-Gaussian Trispectrum
title_sort halo mass function from excursion set theory with a non-gaussian trispectrum
topic Astrophysics and Astronomy
url https://dx.doi.org/10.1111/j.1365-2966.2010.16543.x
http://cds.cern.ch/record/1215425
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