Finite parts of inflationary loops II: A streamlined UV in-in algorithm and distinguishable signatures

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Main Authors: Ballesteros, Guillermo, Egea, Jesús Gambín, Riccardi, Flavio
Format: Preprint
Published: 2025
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author Ballesteros, Guillermo
Egea, Jesús Gambín
Riccardi, Flavio
author_facet Ballesteros, Guillermo
Egea, Jesús Gambín
Riccardi, Flavio
contents We introduce a streamlined method for evaluating in-in loop integrals using dimensional regularization for diagrams with an arbitrary number of external legs and vertices, which complements earlier work and facilitates the extraction of the ultraviolet contributions. The method leads us to identify an apparent difficulty to renormalize with Hamiltonian counterterms within the in-in formalism. We also discuss the importance of the finite parts of loop corrections that can be distinguished from their associated counterterm contributions. As an application, we examine the one-loop primordial bispectrum in the context of the effective field theory of inflation, considering a specific set of interactions, and identifying a contribution distinguishable from its tree-level counterpart.
format Preprint
id arxiv_https___arxiv_org_abs_2512_20467
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Finite parts of inflationary loops II: A streamlined UV in-in algorithm and distinguishable signatures
Ballesteros, Guillermo
Egea, Jesús Gambín
Riccardi, Flavio
High Energy Physics - Theory
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
We introduce a streamlined method for evaluating in-in loop integrals using dimensional regularization for diagrams with an arbitrary number of external legs and vertices, which complements earlier work and facilitates the extraction of the ultraviolet contributions. The method leads us to identify an apparent difficulty to renormalize with Hamiltonian counterterms within the in-in formalism. We also discuss the importance of the finite parts of loop corrections that can be distinguished from their associated counterterm contributions. As an application, we examine the one-loop primordial bispectrum in the context of the effective field theory of inflation, considering a specific set of interactions, and identifying a contribution distinguishable from its tree-level counterpart.
title Finite parts of inflationary loops II: A streamlined UV in-in algorithm and distinguishable signatures
topic High Energy Physics - Theory
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2512.20467