Robust μ-distortion constraints on primordial supermassive black holes from cubic (gNL) non-Gaussian perturbations

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Main Authors: Pritchard, Xavier, Byrnes, Christian T., Lesgourgues, Julien, Sharma, Devanshu
Format: Preprint
Published: 2025
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author Pritchard, Xavier
Byrnes, Christian T.
Lesgourgues, Julien
Sharma, Devanshu
author_facet Pritchard, Xavier
Byrnes, Christian T.
Lesgourgues, Julien
Sharma, Devanshu
contents We make the first calculation of the spectral distortion constraints on the primordial curvature power spectrum in the limit of large cubic non-Gaussianity. This calculation involves computing a 2-loop integral, which we perform analytically. Despite being non-perturbatively non-Gaussian, we show that the constraints only change significantly from the case of Gaussian perturbations in the high-k tail, where spectral distortions become weak. We conclude that generating primordial supermassive black holes requires even more extreme forms of non-Gaussianity. We also argue why the mu-distortion constraint is unlikely to significantly change even in the presence of more extreme local non-Gaussianity.
format Preprint
id arxiv_https___arxiv_org_abs_2505_08442
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Robust μ-distortion constraints on primordial supermassive black holes from cubic (gNL) non-Gaussian perturbations
Pritchard, Xavier
Byrnes, Christian T.
Lesgourgues, Julien
Sharma, Devanshu
Cosmology and Nongalactic Astrophysics
We make the first calculation of the spectral distortion constraints on the primordial curvature power spectrum in the limit of large cubic non-Gaussianity. This calculation involves computing a 2-loop integral, which we perform analytically. Despite being non-perturbatively non-Gaussian, we show that the constraints only change significantly from the case of Gaussian perturbations in the high-k tail, where spectral distortions become weak. We conclude that generating primordial supermassive black holes requires even more extreme forms of non-Gaussianity. We also argue why the mu-distortion constraint is unlikely to significantly change even in the presence of more extreme local non-Gaussianity.
title Robust μ-distortion constraints on primordial supermassive black holes from cubic (gNL) non-Gaussian perturbations
topic Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2505.08442