Features of heavy physics in the CMB power spectrum

Abstract

The computation of the primordial power spectrum in multi-field inflation models requires us to correctly account for all relevant interactions between adiabatic and non-adiabatic modes around and after horizon crossing. One specific complication arises from derivative interactions induced by the curvilinear trajectory of the inflaton in a multi-dimensional field space. In this work we compute the power spectrum in general multi-field models and show that certain inflaton trajectories may lead to observationally significant imprints of `heavy' physics in the primordial power spectrum if the inflaton trajectory turns, that is, traverses a bend, sufficiently fast (without interrupting slow roll), even in cases where the normal modes have masses approaching the cutoff of our theory. We emphasise that turning is defined with respect to the geodesics of the sigma model metric, irrespective of whether this is canonical or non-trivial. The imprints generically take the form of damped superimposed oscillations on the power spectrum. In the particular case of two-field models, if one of the fields is sufficiently massive compared to the scale of inflation, we are able to compute an effective low energy theory for the adiabatic mode encapsulating certain relevant operators of the full multi-field dynamics. As expected, a particular characteristic of this effective theory is a modified speed of sound for the adiabatic mode which is a functional of the background inflaton trajectory and the turns traversed during inflation. Hence in addition, we expect non-Gaussian signatures directly related to the features imprinted in the power spectrum.

41 pages, 6 figures, references updated, minor modifications. Version to appear in JCAP. v4: Equations (4.28) and (4.30) and Figures 5 and 6 corrected

References in corpus (22)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• The Effective Field Theory of Inflation
• Effective Field Theory for Inflation
• Perturbations in generalized multi-field inflation
• Curvature and isocurvature perturbations in two-field inflation
• Inflation and WMAP three year data: Features have a Future!
• Simple exercises to flatten your potential
• Breakdown of Semiclassical Methods in de Sitter Space
• Mass hierarchies and non-decoupling in multi-scalar field dynamics
• Strongly Coupled Perturbations in Two-Field Inflationary Models
• Roulette Inflation with Kähler Moduli and their Axions
• Axion Inflation in Type II String Theory
• Effects of particle production during inflation
• Accidental Inflation in String Theory
• On Features and Nongaussianity from Inflationary Particle Production
• Constraints for the existence of flat and stable non-supersymmetric vacua in supergravity
• Model Independent Signatures of New Physics in the Inflationary Power Spectrum
• Multi-field Inflation with a Random Potential
• Chain inflation and the imprint of fundamental physics in the CMBR
• Using cosmology to constrain the topology of hidden dimensions
• Inflation in uplifted Supergravities
• Testing Two-Field Inflation

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