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Parity violation in the scalar trispectrum: no-go theorems and yes-go examples

Cabass, Giovanni; Jazayeri, Sadra; Pajer, Enrico; Stefanyszyn, David


Giovanni Cabass

Sadra Jazayeri

Enrico Pajer


We derive a set of no-go theorems and yes-go examples for the parity-odd primordial trispectrum of curvature perturbations. We work at tree-level in the decoupling limit of the Effective Field Theory of Inflation and assume scale invariance and a Bunch-Davies vacuum. We show that the parity-odd scalar trispectrum vanishes in the presence of any number of scalar fields with arbitrary mass and any parity-odd scalar correlator vanishes in the presence of any number of spinning fields with massless de Sitter mode functions, in agreement with the findings of Liu, Tong, Wang and Xianyu [1]. The same is true for correlators with an odd number of conformally-coupled external fields. We derive these results using both the (boostless) cosmological bootstrap, in particular the Cosmological Optical Theorem, and explicit perturbative calculations. We then discuss a series of yes-go examples by relaxing the above assumptions one at the time. In particular, we provide explicit results for the parity-odd trispectrum for (i) violations of scale invariance in single-clock inflation, (ii) the modified dispersion relation of the ghost condensate (non-Bunch-Davies vacuum), and (iii) interactions with massive spinning fields. Our results establish the parity-odd trispectrum as an exceptionally sensitive probe of new physics beyond vanilla inflation.


Cabass, G., Jazayeri, S., Pajer, E., & Stefanyszyn, D. (2023). Parity violation in the scalar trispectrum: no-go theorems and yes-go examples. Journal of High Energy Physics, 2023(2), Article 21.

Journal Article Type Article
Acceptance Date Jan 14, 2023
Online Publication Date Feb 2, 2023
Publication Date 2023-03
Deposit Date Feb 28, 2023
Publicly Available Date Mar 3, 2023
Journal Journal of High Energy Physics
Electronic ISSN 1029-8479
Publisher Springer Verlag
Peer Reviewed Peer Reviewed
Volume 2023
Issue 2
Article Number 21
Keywords Early Universe Particle Physics, Effective Field Theories, Space-Time Symmetries
Public URL
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