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RESEARCH PRODUCT

Inflation with mixed helicities and its observational imprint on CMB

Shinji TsujikawaHéctor RamírezLavinia Heisenberg

subject

PhysicsHigh Energy Physics - TheoryCosmology and Nongalactic Astrophysics (astro-ph.CO)010308 nuclear & particles physicsCosmic microwave backgroundCosmic background radiationFOS: Physical sciencesObservableGeneral Relativity and Quantum Cosmology (gr-qc)Astrophysics::Cosmology and Extragalactic AstrophysicsInflaton01 natural sciencesGeneral Relativity and Quantum CosmologyTheoretical physicsAuxiliary fieldsymbols.namesakeGeneral Relativity and Quantum CosmologyHigh Energy Physics - Theory (hep-th)0103 physical sciencesTime derivativeEffective field theorysymbolsPlanck010306 general physicsAstrophysics - Cosmology and Nongalactic Astrophysics

description

In the framework of effective field theories with prominent helicity-0 and helicity-1 fields coupled to each other via a dimension-3 operator, we study the dynamics of inflation driven by the helicity-0 mode, with a given potential energy, as well as the evolution of cosmological perturbations, influenced by the presence of a mixing term between both helicities. In this scenario, the temporal component of the helicity-1 mode is an auxiliary field and can be integrated out in terms of the time derivative of the helicity-0 mode, so that the background dynamics effectively reduces to that in single-field inflation modulated by a parameter $\beta$ associated to the coupling between helicity-0 and helicity-1 modes. We discuss the evolution of a longitudinal scalar perturbation $\psi$ and an inflaton fluctuation $\delta \phi$, and explicitly show that a particular combination of these two, which corresponds to an isocurvature mode, is subject to exponential suppression by the vector mass comparable to the Hubble expansion rate during inflation. Furthermore, we find that the effective single-field description corrected by $\beta$ also holds for the power spectrum of curvature perturbations generated during inflation. We compute the standard inflationary observables such as the scalar spectral index $n_s$ and the tensor-to-scalar ratio $r$ and confront several inflaton potentials with the recent observational data provided by Planck 2018. Our results show that the coupling between helicity-0 and helicity-1 modes can lead to a smaller value of the tensor-to-scalar ratio especially for small-field inflationary models, so our scenario exhibits even better compatibility with the current observational data.

10.1103/physrevd.99.023505http://arxiv.org/abs/1812.03340