We extend the method of Flow Equations to the Effective Field Theory framework of inflation, in order to investigate the observable predictions of a very broad class of inflationary models. Focusing our attention on the gravitational-wave sector, we derive a general expression for the consistency relation for effective models and provide a numerical implementation which allows to study how the generated models populate the (r,nt) plane. We analyse 5 × 104 realizations of inflationary scenarios that respect the Null-Energy Condition (> 0) and 5 × 104 realizations that violate it (< 0). In both cases, 90 % of the viable models are below the most recent upper bound on the tensor-to-scalar ratio from Planck and BICEP2/Keck Array BK15 data: r0.002 < 0.056 at 95 % CL . We find that general EFT inflationary models with > 0 are typically characterized by nt < 0, whereas the vast majority of NEC-violating models presents a blue-tilted spectrum (nt > 0). Since a blue tensor spectral index implies more power on small scales, this result is of considerable interest in view of a possible direct detection of the primordial gravitational-wave background.
Let Effective Field Theory of inflation flow : stochastic generation of models with red/blue tensor tilt / G. Capurri, N. Bartolo, D. Maino, S. Matarrese. - In: JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS. - ISSN 1475-7516. - 2020:11(2020), pp. 037.1-037.23. [10.1088/1475-7516/2020/11/037]
Let Effective Field Theory of inflation flow : stochastic generation of models with red/blue tensor tilt
D. Maino;
2020
Abstract
We extend the method of Flow Equations to the Effective Field Theory framework of inflation, in order to investigate the observable predictions of a very broad class of inflationary models. Focusing our attention on the gravitational-wave sector, we derive a general expression for the consistency relation for effective models and provide a numerical implementation which allows to study how the generated models populate the (r,nt) plane. We analyse 5 × 104 realizations of inflationary scenarios that respect the Null-Energy Condition (> 0) and 5 × 104 realizations that violate it (< 0). In both cases, 90 % of the viable models are below the most recent upper bound on the tensor-to-scalar ratio from Planck and BICEP2/Keck Array BK15 data: r0.002 < 0.056 at 95 % CL . We find that general EFT inflationary models with > 0 are typically characterized by nt < 0, whereas the vast majority of NEC-violating models presents a blue-tilted spectrum (nt > 0). Since a blue tensor spectral index implies more power on small scales, this result is of considerable interest in view of a possible direct detection of the primordial gravitational-wave background.File | Dimensione | Formato | |
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