Testing graviton parity and Gaussianity with Planck <math display="inline"><mi>T</mi></math>-, <math display="inline"><mi>E</mi></math>-, and <math display="inline"><mi>B</mi></math>-mode bispectra - INSPIRE

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Testing graviton parity and Gaussianity with Planck $T$ -, $E$ -, and $B$ -mode bispectra

Oliver H.E. Philcox
(
- Columbia U. and
- Stony Brook U., New York, SCGP
)
,
Maresuke Shiraishi
(
- Shinshu U.
)

Dec 19, 2023

20 pages

Published in:

Phys.Rev.D 109 (2024) 6, 063522

Published: Mar 14, 2024

e-Print:

2312.12498 [astro-ph.CO]

DOI:

10.1103/PhysRevD.109.063522 (publication)

View in:

ADS Abstract Service

reference search12 citations

Citations per year

Abstract: (APS)

Many inflationary theories predict a non-Gaussian spectrum of primordial tensor perturbations, sourced from nonstandard vacuum fluctuations, modified general relativity, or new particles such as gauge fields. Several such models also predict a chiral spectrum in which one polarization state dominates. In this work, we place constraints on the non-Gaussianity and parity properties of primordial gravitational waves utilizing the Planck PR4 temperature and polarization data set. Using recently developed quasioptimal bispectrum estimators, we compute binned parity-even and parity-odd bispectra for all combinations of cosmic microwave background (CMB)

T

-,

E

-, and

B

-modes with

2 \leq ℓ < 500

, and perform both blind tests, sensitive to arbitrary three-point functions, and targeted analyses of a well-motivated equilateral gravitational-wave template (sourced by gauge fields) with amplitude

f_{NL}^{t t t}

. This is the first time

B

-modes have been included in primordial non-Gaussianity analyses; they are found to strengthen constraints on the parity-even sector by

≃ 30 %

and dominate the parity-odd bounds, without inducing bias. We report no detection of non-Gaussianity (of either parity), with the template amplitude constrained to

f_{NL}^{t t t} = 900 \pm 700

(stable with respect to a number of analysis variations), compared to

1300 \pm 1200

in Planck 2018. The methods applied herein can be reapplied to upcoming CMB data sets such as LiteBIRD, with the inclusion of

B

-modes poised to dramatically improve future bounds on tensor non-Gaussianity.

Note:

20 pages, 9 figures, accepted by Phys. Rev. D

gravitational radiation: primordial
non-Gaussianity: primordial
fluctuation: vacuum
spectrum: chiral
n-point function: 3
perturbation: tensor
B-mode
parity
bispectrum
satellite: Planck

References(86)

Figures(10)

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