Cosmological Infrared Subtractions & Infrared-Safe Computables
Paolo Benincasa, Francisco Vaz\~ao
TL;DR
This paper introduces a systematic method to eliminate infrared divergences in scalar cosmological integrals, enabling the consistent computation of infrared-safe observables in perturbation theory.
Contribution
It presents a novel diagrammatic approach based on nestohedra to remove infrared divergences in cosmological perturbation integrals.
Findings
Proof of concept for divergence removal
Diagrammatic rules for infrared safety
Framework for consistent perturbative calculations
Abstract
Cosmological observables in perturbation theory turn out to be plagued with infrared divergences, which represents both a conceptual and computational challenge. In this paper we present a proof of concept for a systematic procedure to remove these divergences in a large class of scalar cosmological integrals and consistently define an infrared safe computable in perturbation theory. We provide diagrammatic rules which are based on the nestohedra underlying the asymptotic structure of such integrals.
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Taxonomy
TopicsCCD and CMOS Imaging Sensors · Astronomical Observations and Instrumentation · Impact of Light on Environment and Health