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Loops in de Sitter space

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arxiv 2403.13145 v1 pith:VVZFUUSF submitted 2024-03-19 hep-th

Sergio L. Cacciatori , Henri Epstein , Ugo Moschella This is my paper · ORCID
classification hep-th
keywords formulacasediscussdivergentgeneralhypergeometriclambdasitter
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abstract

We discuss general one and two-loops banana diagrams with arbitrary masses on the de Sitter spacetime by using direct methods of dS quantum field theory in the dimensional regularization approach. In the one-loop case we also compute the effective potential for an $O(N)$ model in $d=4$ dimension as an explicit function of the cosmological constant $\Lambda$, both exactly and perturbatively up to order $\Lambda$. For the two-loop case we show that the calculation is made easy thanks to a remarkable Kallen-Lehmann formula that has been in the literature for a while. We discuss the divergent cases at d=3 using a contiguity formula for generalized hypergeometric functions and we extract the dominant term at d=4 proving a general formula to deal with a divergent hypergeometric series.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On Cosmological Correlators at One Loop

    hep-th 2026-01 conditional novelty 8.0 of 10

    The one-loop triangle in-in correlator of massless scalars in flat space is evaluated in closed form in terms of dilogarithms, with Landau analysis revealing its physical singularities and a partial-energy factorisati...

  2. Resummation of Cosmological Correlators and their UV-Regularization

    hep-th 2025-07 conditional novelty 7.0 of 10

    All-order necklace cosmological correlators are resummable only after a topology-dependent modification of analytic regularization, yielding a pole and a sign flip that are interpreted as non-perturbative large-N effects.

  3. Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections

    hep-th 2024-11 conditional novelty 6.0 of 10

    Scalar and vector Feynman integrals on the sphere are mapped to A-hypergeometric (GKZ) systems via embedding space propagators, enabling algorithmic higher-loop computations.

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