The best inflationary models after Planck

By Jérôme Martin, C. Ringeval, Roberto Trotta, V. Vennin. 2013

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We compute the Bayesian evidence and complexity of 193 slow-roll single-field models of inflation using the Planck 2013 Cosmic Microwave Background data, with the aim of establishing which models are favoured from a Bayesian perspective. Our calculations employ a new numerical pipeline interfacing an inflationary effective likelihood with the slow-roll library ASPIC and the nested sampling algorithm MultiNest. The models considered represent a complete and systematic scan of the entire landscape of inflationary scenarios proposed so far. Our analysis singles out the most probable models (from an Occam's razor point of view) that are compatible with Planck data, while ruling out with very strong evidence 34% of the models considered. We identify 26% of the models that are favoured by the Bayesian evidence, corresponding to 15 different potential shapes. If the Bayesian complexity is included in the analysis, only 9% of the models are preferred, corresponding to only 9 different potential shapes. These shapes are all of the plateau type.

Subfields: Astronomy and Astrophysics, Finance, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/1ff599d154729d297417793a9719774739770aa7

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Citations in the corpus

The landscape of QCD axion models (2020, background): “(78) can be approximated by a quartic potential: such a form of inflaton potential has been excluded to a high level of confidence by the measurements of the CMBR spectra by the Planck mission [309, 658, 659].”
The Simons Observatory: science goals and forecasts (2018, background): “A detection of a signal at this level or higher would constitute evidence against classes of inflationary models (Martin et al. 2014b,a), e.g., r ∝ 1/N2 models14 such as Higgs or R2 inflation (Starobinskǐi 1979; Bezrukov and Shaposhnikov 2008).”
Quantum diffusion during inflation and primordial black holes (2017, background): “16) is much smaller than one, which is typically the case for the values of v0, c and φ0 considered in the literature [73, 79].”
Planck2018 results (2018, methodology): “We fix gth = 103 and end = 1, and we use modified routines of the public code ASPIC11 (Martin et al. 2014b).”
Standard Model—axion—seesaw—Higgs portal inflation. Five problems of particle physics and cosmology solved in one stroke (2016, result): “See [112] for a Bayesian approach to inflationary model comparison in agreement with this conclusion.”
Exploring cosmic origins with CORE: Inflation (2016, methodology): “The Starobinsky model is currently the simplest among the inflationary models allowed by Planck data [3, 5, 205] and has been at the center stage of several theoretical developments in supergravity [78, 81, 82, 206], as explained in Section 2.”
Inflationary Cosmology after Planck 2013 (2014, background): “A long list of various models satisfying all Planck data can be found in [1, 85, 86].”
Bouncing Cosmologies: Progress and Problems (2016, background): “Some may argue that inflation, demanding merely a simple scalar field with a potential having a plateau [167], is perhaps simpler to achieve, and thus privileged from the Occam’s razor point of view.”