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Article Dans Une Revue Journal of High Energy Physics Année : 2023

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

Giovanni Cabass
  • Fonction : Auteur
Enrico Pajer
  • Fonction : Auteur
David Stefanyszyn
  • Fonction : Auteur

Résumé

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.
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hal-03823010 , version 1 (07-02-2024)

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Giovanni Cabass, Sadra Jazayeri, Enrico Pajer, David Stefanyszyn. Parity violation in the scalar trispectrum: no-go theorems and yes-go examples. Journal of High Energy Physics, 2023, 02, pp.021. ⟨10.1007/JHEP02(2023)021⟩. ⟨hal-03823010⟩
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