2020
DOI: 10.1088/1475-7516/2020/07/014
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Graviton non-Gaussianities and parity violation in the EFT of inflation

Abstract: We study graviton non-Gaussianities in the EFT of Inflation. At leading (second) order in derivatives, the graviton bispectrum is fixed by Einstein gravity. There are only two contributions at third order. One of them breaks parity. They come from operators that directly involve the foliation: we then expect sizable non-Gaussianities in three-point functions involving both gravitons and scalars. However, we show that at leading order in slow roll the parity-odd operator does not modify these mixed correlators.… Show more

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Cited by 43 publications
(62 citation statements)
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References 39 publications
(66 reference statements)
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“…( 72) we see that f γ NL is smaller than f NL by a factor of slow-roll parameter . However, f γ NL,loc is larger than its counterpart coming from the gravitational vacuum fluctuations [62,63,64,65]. A similar result is obtained if one considers some spectator gauge fields [31].…”
Section: Gravitational Waves γγγsupporting
confidence: 67%
See 1 more Smart Citation
“…( 72) we see that f γ NL is smaller than f NL by a factor of slow-roll parameter . However, f γ NL,loc is larger than its counterpart coming from the gravitational vacuum fluctuations [62,63,64,65]. A similar result is obtained if one considers some spectator gauge fields [31].…”
Section: Gravitational Waves γγγsupporting
confidence: 67%
“…Summing the above corrections, the power spectrum of the tensor perturbations associated with the vector fields perturbations to leading order becomes Eq. (65).…”
Section: C22 T Tmentioning
confidence: 99%
“…This is true even though we allow for boost breaking interactions. This is a particular case of a more general set of results obtained in [59][60][61], where it was also concluded that the first boost breaking ψ φφγ generated from coupling to the inflaton foliation of time comes at three-derivatives. In that work the authors work at the level of the Lagrangian and use field redefinitions to remove redundant couplings in the EFT of inflation.…”
Section: A Massless Scalar Coupled To Gravitymentioning
confidence: 73%
“…• It would be interesting to investigate the extent to which our bootstrap approach can remove redundancies in the EFT of inflation. This has been considered in [59][60][61] at the level of the Lagrangian where field redefinitions were used to remove redundant interactions. Our on-shell approach should make this process particularly simple and transparent.…”
Section: Summary and Future Directionsmentioning
confidence: 99%
“…Graviton non-Gaussianities in single-clock inflation have been investigated in detail in [11,22]. What happens when couplings with the foliation are included has been discussed in [23,24,25,26]. How do we extend the analysis to different symmetry breaking patterns?…”
mentioning
confidence: 99%