The Orthogonal Non-Gaussian Shape at a Bounce and Its Correlation With the Standard Template

Data analyses search for primordial non-Gaussianity with a small set of standard templates, so a model's bispectrum matters observationally only through its overlap with those templates. This paper computes the overlap of the bounce-generated bispectrum with the orthogonal template and the amplitude the orthogonal search would report. The normalised shape correlation, evaluated as an inner-product integral over the reduced triangle domain, is 0.753, leaving a fraction 0.433 of the bounce bispectrum's power outside the orthogonal template. Projected onto that template, the model predicts fNL orthogonal = -21, against the Planck 2018 measurement of -38 plus or minus 24, a deviation of 0.71 standard deviations. The bounce bispectrum is thus substantially, but far from entirely, visible to the standard orthogonal search: more than two fifths of its signal power would be missed by template analyses, a correction that matters when null results are converted into bounds on bounce parameters. The study is computed from stated assumptions, not measured.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-11
DOI
https://doi.org/10.5281/zenodo.24134325
Primary Topic
Cosmology and Gravitation Theories
Type
article
Field-Weighted Citation Impact
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article

The Orthogonal Non-Gaussian Shape at a Bounce and Its Correlation With the Standard Template

William Alexander Aldred
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
article

The Orthogonal Non-Gaussian Shape at a Bounce and Its Correlation With the Standard Template

William Alexander Aldred
article en

Abstract

Data analyses search for primordial non-Gaussianity with a small set of standard templates, so a model's bispectrum matters observationally only through its overlap with those templates. This paper computes the overlap of the bounce-generated bispectrum with the orthogonal template and the amplitude the orthogonal search would report. The normalised shape correlation, evaluated as an inner-product integral over the reduced triangle domain, is 0.753, leaving a fraction 0.433 of the bounce bispectrum's power outside the orthogonal template. Projected onto that template, the model predicts fNL orthogonal = -21, against the Planck 2018 measurement of -38 plus or minus 24, a deviation of 0.71 standard deviations. The bounce bispectrum is thus substantially, but far from entirely, visible to the standard orthogonal search: more than two fifths of its signal power would be missed by template analyses, a correction that matters when null results are converted into bounds on bounce parameters. The study is computed from stated assumptions, not measured.

Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
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