Cosmological scattering equations at tree-level and one-loop

0562140 - FZÚ 2023 RIV US eng J - Journal Article
Gomez, H. - Lipinski Jusinskas, Renann - Lipstein, A.
Cosmological scattering equations at tree-level and one-loop.
Journal of High Energy Physics. Roč. 2022, č. 7 (2022), č. článku 004. ISSN 1029-8479. E-ISSN 1029-8479
R&D Projects: GA ČR GJ19-06342Y
Institutional support: RVO:68378271
Keywords : scattering equations * cosmological models * inflation
OECD category: Particles and field physics
Impact factor: 5.4, year: 2022
Method of publishing: Open access

We recently proposed a formula for tree-level n-point correlators of massive quartic theory in de Sitter momentum space which consists of an integral over n punctures on the Riemann sphere and differential operators in the future boundary dubbed the cosmological scattering equations. In this work we provide further details of these calculations and present an alternative formulation based on a double cover of the Riemann sphere. This framework can be used to derive simple graphical rules for evaluating the integrals more efficiently. We check its validity up to eight points and sketch the derivation of n-point correlators. Finally, we propose a similar formula for 1-loop n-point correlators in terms of an integral over (n + 2) punctures on the Riemann sphere. The 1-loop formula holds for small masses in de Sitter space and arbitrary masses satisfying the Breitenlohner-Freedman bound after Wick-rotating to Anti-de Sitter space.

Permanent Link: https://hdl.handle.net/11104/0334556