Skew-spectra: a generalization to spin-$s$
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908913130012672 |
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| author | Roskill, Alexander Maleubre, Sara Alonso, David Ferreira, Pedro G. |
| author_facet | Roskill, Alexander Maleubre, Sara Alonso, David Ferreira, Pedro G. |
| contents | Skew-spectra allow us to extract non-Gaussian information by taking the square of a map and finding the power spectrum of this new map with the original map. This allows us to use much of the infrastructure of power spectra and avoid the intricacies of estimating three point statistics. In this paper we present the first extension of skew-spectra to arbitrary spin-$s$ fields, as a means to extract non-Gaussian information efficiently from cosmological data sets like cosmic shear or CMB polarization. We apply the formalism to weak lensing in the context of large scale structure, and discuss different ways of combining fields to build skew-spectra, all while avoiding the problems associated with mass-mapping. We provide plots of these new statistics for $Λ$CDM and vary cosmological parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_22596 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Skew-spectra: a generalization to spin-$s$ Roskill, Alexander Maleubre, Sara Alonso, David Ferreira, Pedro G. Cosmology and Nongalactic Astrophysics Skew-spectra allow us to extract non-Gaussian information by taking the square of a map and finding the power spectrum of this new map with the original map. This allows us to use much of the infrastructure of power spectra and avoid the intricacies of estimating three point statistics. In this paper we present the first extension of skew-spectra to arbitrary spin-$s$ fields, as a means to extract non-Gaussian information efficiently from cosmological data sets like cosmic shear or CMB polarization. We apply the formalism to weak lensing in the context of large scale structure, and discuss different ways of combining fields to build skew-spectra, all while avoiding the problems associated with mass-mapping. We provide plots of these new statistics for $Λ$CDM and vary cosmological parameters. |
| title | Skew-spectra: a generalization to spin-$s$ |
| topic | Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2511.22596 |