Renormalization Group independence of Cosmological Attractors

Abstract

The large class of inflationary models known as $\alpha$- and $\xi$-attractors gives identical cosmological predictions at tree level (at leading order in inverse power of the number of efolds). Working with the renormalization group improved action, we show that these predictions are robust under quantum corrections. This means that for all the models considered the inflationary parameters $(n_s,r)$ are (nearly) independent on the Renormalization Group flow. The result follows once the field dependence of the renormalization scale, fixed by demanding the leading log correction to vanish, satisfies a quite generic condition. In Higgs inflation (which is a particular $\xi$-attractor) this is indeed the case; in the more general attractor models this is still ensured by the renormalizability of the theory in the effective field theory sense.

11 pages, 1 figure; v2: final version accepted by the journal

References in corpus (10)

• The Standard Model Higgs boson as the inflaton
• Inflation scenario via the Standard Model Higgs boson and LHC
• The Unity of Cosmological Attractors
• Higgs inflation at the critical point
• Higgs inflation still alive
• Quantum radiative corrections to slow-roll inflation
• Inflation from Broken Scale Invariance
• Cosmological Attractors and Asymptotic Freedom of the Inflaton Field
• Minimal but non-minimal inflation and electroweak symmetry breaking
• Observational signatures of Higgs inflation

Cited by in corpus (23)

• Higgs inflation
• Higgs inflation with loop corrections in the Palatini formulation
• Viable Inflation in Scalar-Gauss-Bonnet Gravity and Reconstruction from Observational Indices
• New universal attractor in nonmininally coupled gravity: Linear inflation
• Higgs inflation at the hilltop
• Tracing the high energy theory of gravity: an introduction to Palatini inflation
• Revisiting small-scale fluctuations in $\alpha$-attractor models of inflation
• Primordial perturbations generated by Higgs field and $R^2$ operator
• The Reconstruction of $f(\varphi )R$ and Mimetic Gravity from Viable Slow-roll Inflation
• Towards distinguishing variants of non-minimal inflation
• Reconstruction of constant slow-roll inflation
• Unitarity and predictiveness in new Higgs inflation
• A minimal model of inflation and dark radiation
• Non-minimal (self-)running inflation: metric vs. Palatini formulation
• Beyond the Poles in Attractor Models of Inflation
• Multiple point criticality principle and Coleman-Weinberg inflation
• On the number of $e$-folds in the Jordan and Einstein frames
• One residue to rule them all: Electroweak symmetry breaking, inflation and field-space geometry
• Inflationary attractors and radiative corrections in light of ACT data
• Matching and running sensitivity in non-renormalizable inflationary models
• On the Renormalization Group perspective of $\alpha$-attractors
• Attractor Models in Scalar-Tensor Theories of Inflation
• When tadpoles matter: One-loop corrections for spectator Higgs in inflation