Parity violation in graviton non-gaussianity

Soda, Jiro; Kodama, Hideo; Nozawa, Masato

doi:10.1007/jhep08(2011)067

Cited by 112 publications

(119 citation statements)

References 39 publications

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“…The three-point function of graviton has been extended to the inflationary background in [14], generalized G-inflation in [15] and Horava-Lifshitz gravity in [16]. It is worthy coming back to the four-point function of graviton in more general scenario in the near future.…”

Section: Summary and Discussionmentioning

confidence: 99%

The four-point correlation function of graviton during inflation

Fu¹,

Huang²

2015

J. High Energ. Phys.

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Abstract:We expand the Einstein-Hilbert action with a positive cosmological constant up to the fourth order in terms of gravity fluctuations, and then use the in-in formalism to calculate the four-point correlation function for gravitational waves, including both contact and exchange diagrams, generated during a period of exactly de Sitter expansion. In addition, we also present the general properties of the n-point function of graviton in terms of both circularly and linearly polarized states.

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Section: Summary and Discussionmentioning

confidence: 99%

The four-point correlation function of graviton during inflation

Fu¹,

Huang²

2015

J. High Energ. Phys.

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“…In this section, we estimate the WMAP constraints on the parity-odd NGs predicted in three Early Universe models, including the Weyl dual cubic action [6][7][8], a rolling pseudoscalar [11,12], and the helical primordial magnetic field (PMF) model [9].…”

Section: Constraints On Parity-odd Non-gaussianitiesmentioning

confidence: 99%

“…On the other hand, some Early Universe scenarios predict parityodd graviton NGs [5][6][7][8][9][10][11][12]. In such case, the resulting temperature bispectra appear in the parity-odd domain (ℓ 1 + ℓ 2 + ℓ 3 = odd) [8,9,12,13].…”

Section: Introductionmentioning

confidence: 99%

Observed parity-odd CMB temperature bispectrum

Shiraishi¹,

Fergusson²

2015

J. Cosmol. Astropart. Phys.

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Abstract. Parity-odd non-Gaussianities create a variety of temperature bispectra in the cosmic microwave background (CMB), defined in the domain: ℓ 1 + ℓ 2 + ℓ 3 = odd. These models are yet unconstrained in the literature, that so far focused exclusively on the more common parity-even scenarios. In this work, we provide the first experimental constraints on parity-odd bispectrum signals in WMAP 9-year temperature data, using a separable modal parity-odd estimator. Comparing theoretical bispectrum templates to the observed bispectrum, we place constraints on the so-called nonlineality parameters of parity-odd tensor non-Gaussianities predicted by several Early Universe models. Our technique also generates a model-independent, smoothed reconstruction of the bispectrum of the data for parity-odd configurations.

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“…While the majority of the studies on primordial and CMB NG focus on the scalar mode, tensor-mode NG has been attracting attention as a probe of high-energy theories of gravity (e.g., Maldacena & Pimentel 2011;McFadden & Skenderis 2011;Soda et al 2011;Shiraishi et al 2011;Gao et al 2011) or primordial magnetic fields (Brown & Crittenden 2005;Shiraishi et al 2012;Shiraishi 2012) 5 . Recently, the possibility of observable tensor bispectra has been vigorously discussed in a model where the inflaton couples to a pseudoscalar field (Barnaby et al 2012a;Cook & Sorbo 2013;Ferreira & Sloth 2014).…”

Section: Parity-violating Tensor Non-gaussianity Motivated By Pseudo-mentioning

confidence: 99%

Planck2015 results

Ade

Aghanim

Arnaud

et al. 2016

A&A

472

256

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The Planck full mission cosmic microwave background (CMB) temperature and E-mode polarization maps are analysed to obtain constraints on primordial non-Gaussianity (NG). Using three classes of optimal bispectrum estimators -separable template-fitting (KSW), binned, and modalwe obtain consistent values for the primordial local, equilateral, and orthogonal bispectrum amplitudes, quoting as our final result from temperature alone f local NL = 2.5 ± 5.7, f equil NL = −16 ± 70, and f ortho NL = −34 ± 33 (68% CL, statistical). Combining temperature and polarization data we obtain f local NL = 0.8 ± 5.0, f equil NL = −4 ± 43, and f ortho NL = −26 ± 21 (68% CL, statistical). The results are based on comprehensive cross-validation of these estimators on Gaussian and non-Gaussian simulations, are stable across component separation techniques, pass an extensive suite of tests, and are consistent with estimators based on measuring the Minkowski functionals of the CMB. The effect of time-domain de-glitching systematics on the bispectrum is negligible. In spite of these test outcomes we conservatively label the results including polarization data as preliminary, owing to a known mismatch of the noise model in simulations and the data. Beyond estimates of individual shape amplitudes, we present model-independent, three-dimensional reconstructions of the Planck CMB bispectrum and derive constraints on early universe scenarios that generate primordial NG, including general single-field models of inflation, axion inflation, initial state modifications, models producing parityviolating tensor bispectra, and directionally dependent vector models. We present a wide survey of scale-dependent feature and resonance models, accounting for the "look elsewhere" effect in estimating the statistical significance of features. We also look for isocurvature NG, and find no signal, but we obtain constraints that improve significantly with the inclusion of polarization. The primordial trispectrum amplitude in the local model is constrained to be g local NL = (−9.0 ± 7.7) × 10 4 (68% CL statistical), and we perform an analysis of trispectrum shapes beyond the local case. The global picture that emerges is one of consistency with the premises of the ΛCDM cosmology, namely that the structure we observe today was sourced by adiabatic, passive, Gaussian, and primordial seed perturbations.

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Parity violation in graviton non-gaussianity

Cited by 112 publications

References 39 publications

The four-point correlation function of graviton during inflation

The four-point correlation function of graviton during inflation

Observed parity-odd CMB temperature bispectrum

Planck2015 results

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