APA

Ema, Y. (2026). Cutting rule on cosmological correlators and its applications. Perimeter Institute. https://pirsa.org/26030065

MLA

Ema, Yohei. Cutting rule on cosmological correlators and its applications. Perimeter Institute, Mar. 17, 2026, https://pirsa.org/26030065

BibTex

@misc{ pirsa_PIRSA:26030065,
  doi = {10.48660/26030065},
  url = {https://pirsa.org/26030065},
  author = {Ema, Yohei},
  keywords = {Particle Physics},
  language = {en},
  title = {Cutting rule on cosmological correlators and its applications},
  publisher = {Perimeter Institute},
  year = {2026},
  month = {mar},
  note = {PIRSA:26030065 see, \url{https://pirsa.org}}
}
            

Abstract

We derive a cutting rule for equal-time in-in correlators, including cosmological correlators based on Keldysh r/a basis, which decomposes diagrams into fully retarded functions and cut-propagators consisting of Wightman functions. Our derivation relies only on basic assumptions such as unitarity, locality, and the causal structure of the in-in formalism. We apply the cutting rule to simplify the extraction of non-local cosmological collider signals, and prove the absence of one-loop scale-invariant corrections from enhanced small-scale perturbations to superhorizon curvature and tensor perturbations.