Higgs inflation with loop corrections in the Palatini formulation

Abstract

We compare Higgs inflation in the metric and Palatini formulations of general relativity, with loop corrections are treated in a simple approximation. We consider Higgs inflation on the plateau, at a critical point, at a hilltop and in a false vacuum. In the last case there are only minor differences. Otherwise we find that in the Palatini formulation the tensor-to-scalar ratio is consistently suppressed, spanning the range $1\times 10^{-13}<r<7\times 10^{-5}$, compared to the metric case result $2\times 10^{-5}<r<0.2$. Even when the values of $n_s$ and $r$ overlap, the running and running of the running are different in the two formulations. Therefore, if Higgs is the inflaton, inflationary observables can be used to distinguish between different gravitational degrees of freedom, in this case to determine whether the connection is an independent variable. Non-detection of $r$ in foreseeable future observations would not rule out Higgs inflation, only its metric variant. We conclude that in order to fix the theory of Higgs inflation, not only the particle physics UV completion but also the gravitational degrees of freedom have to be explicated.

32 pages, 22 figures. v2: added references, clarified text, corrected typos. Published version

References in corpus (33)

• The Standard Model Higgs boson as the inflaton
• Combined Measurement of the Higgs Boson Mass in $pp$ Collisions at $\sqrt{s}=7$ and 8 TeV with the ATLAS and CMS Experiments
• Higgs inflation: consistency and generalisations
• Inflation scenario via the Standard Model Higgs boson and LHC
• Power-counting and the Validity of the Classical Approximation During Inflation
• Thermodynamic route to Field equations in Lanczos-Lovelock Gravity
• On Inflation with Non-minimal Coupling
• Gauge invariant MSSM inflaton
• Cosmological implications of the Higgs mass measurement
• Higgs inflation at the critical point
• Higgs inflation still alive
• Higgs-Palatini Inflation and Unitarity
• Equivalence of the Einstein and Jordan frames
• A joint analysis of Planck and BICEP2 B modes including dust polarization uncertainty
• Gravitational corrections to Standard Model vacuum decay
• Violent Preheating in Inflation with Nonminimal Coupling
• Lovelock Gravity at the Crossroads of Palatini and Metric Formulations
• Non-Gaussianity from Instant and Tachyonic Preheating
• Multifield Dynamics of Higgs Inflation
• Top Quark Mass Calibration for Monte Carlo Event Generators
• Gauge-Independent Scales Related to the Standard Model Vacuum Instability
• Is Higgs Inflation Dead?
• Gauge invariant cosmological perturbations for the nonminimally coupled inflaton field
• Trapped Quintessential Inflation
• Inflection-point Higgs Inflation
• Non-Minimal Two-Loop Inflation
• The Problem with False Vacuum Higgs Inflation
• The Gravitational Wave Background and Higgs False Vacuum Inflation
• Cosmological Constraints on the Higgs Boson Mass
• Covariant one-loop quantum gravity and Higgs inflation
• Naturalness in Higgs inflation in a frame independent formalism
• Spectral tilt in A-term inflation
• Higgs Mass and Gravity Waves in Standard Model False Vacuum Inflation

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• Resurrecting Quadratic Inflation with a non-minimal coupling to gravity
• Coleman-Weinberg linear inflation: metric vs. Palatini formulation
• Palatini formulation of pure $R^2$ gravity yields Einstein gravity with no massless scalar
• Equivalence of inflationary models between the metric and Palatini formulation of scalar-tensor theories
• Higgs inflation and teleparallel gravity
• Non-linear effects in early Universe cosmology