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Main Authors: Gomes, Rafael C. H., Miller, Kyle, Sugiyama, Sunao, Blazek, Jonathan, Bakx, Thomas, Jain, Bhuvnesh
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2601.09133
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author Gomes, Rafael C. H.
Miller, Kyle
Sugiyama, Sunao
Blazek, Jonathan
Bakx, Thomas
Jain, Bhuvnesh
author_facet Gomes, Rafael C. H.
Miller, Kyle
Sugiyama, Sunao
Blazek, Jonathan
Bakx, Thomas
Jain, Bhuvnesh
contents We present a model for the intrinsic alignment contamination of the shear three-point correlation function and skewness of the mass aperture statistic using the tidal alignment and tidal torquing (TATT) formalism. We compute the intrinsic alignment bispectra components in terms of the TATT model parameters. We consider two effective field theory approaches in the literature, relate them to the TATT model parameters and an extension to TATT that includes the velocity-shear (VS) parameter. We compare the impact of changing between NLA, TATT, and TATT+VS on the theoretical computation of the 3PCF using the best fit parameters and tomographic redshift distributions from Dark Energy Survey Year 3. We find that the TATT model significantly impacts the skewed triangle configurations of the 3PCF. Additionally, including the higher-order effects from TATT can introduce opposite effects on the two-point function and on the mass aperture skewness, damping the signal of the former while boosting the signal of the latter. We argue that a joint 2PCF+3PCF analysis with the TATT model can help break the degeneracy between its model parameters and provide more robust constraints on both cosmology and intrinsic alignment amplitude parameters. We show that typical values of order unity for the intrinsic alignment parameters introduce differences of around $10\%$ between NLA and TATT predictions.
format Preprint
id arxiv_https___arxiv_org_abs_2601_09133
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Tidal alignment and tidal torquing modeling for the cosmic shear three-point correlation function and mass aperture skewness
Gomes, Rafael C. H.
Miller, Kyle
Sugiyama, Sunao
Blazek, Jonathan
Bakx, Thomas
Jain, Bhuvnesh
Cosmology and Nongalactic Astrophysics
We present a model for the intrinsic alignment contamination of the shear three-point correlation function and skewness of the mass aperture statistic using the tidal alignment and tidal torquing (TATT) formalism. We compute the intrinsic alignment bispectra components in terms of the TATT model parameters. We consider two effective field theory approaches in the literature, relate them to the TATT model parameters and an extension to TATT that includes the velocity-shear (VS) parameter. We compare the impact of changing between NLA, TATT, and TATT+VS on the theoretical computation of the 3PCF using the best fit parameters and tomographic redshift distributions from Dark Energy Survey Year 3. We find that the TATT model significantly impacts the skewed triangle configurations of the 3PCF. Additionally, including the higher-order effects from TATT can introduce opposite effects on the two-point function and on the mass aperture skewness, damping the signal of the former while boosting the signal of the latter. We argue that a joint 2PCF+3PCF analysis with the TATT model can help break the degeneracy between its model parameters and provide more robust constraints on both cosmology and intrinsic alignment amplitude parameters. We show that typical values of order unity for the intrinsic alignment parameters introduce differences of around $10\%$ between NLA and TATT predictions.
title Tidal alignment and tidal torquing modeling for the cosmic shear three-point correlation function and mass aperture skewness
topic Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2601.09133