scholarly journals Potential reconstruction from general power spectrum in single-field inflation

2022 ◽  
Vol 2022 (01) ◽  
pp. 012
Author(s):  
Ki-Young Choi ◽  
Jinn-Ouk Gong ◽  
Su-beom Kang ◽  
Rathul Nath Raveendran
Keyword(s):  
Power Spectrum ◽  
Scale Invariance ◽  
New Method ◽  
Slow Roll ◽  
Primordial Power Spectrum ◽  
General Power ◽  
Single Field

Abstract We suggest a new method to reconstruct, within canonical single-field inflation, the inflaton potential directly from the primordial power spectrum which may deviate significantly from near scale-invariance. Our approach relies on a more generalized slow-roll approximation than the standard one, and can probe the properties of the inflaton potential reliably. We give a few examples for reconstructing potential and discuss the validity of our method.

scholarly journals Inflation story: slow-roll and beyond

2021 ◽  
Vol 2021 (12) ◽  
pp. 038
Author(s):  
Dhiraj Kumar Hazra ◽  
Daniela Paoletti ◽  
Ivan Debono ◽  
Arman Shafieloo ◽  
George F. Smoot ◽  
...  
Keyword(s):  
Power Spectrum ◽  
Large Scale ◽  
Microwave Background ◽  
Angular Power Spectrum ◽  
Slow Roll ◽  
Primordial Power Spectrum ◽  
Cosmic Microwave Background Temperature ◽  
Scale Temperature ◽  
Temperature Polarization ◽  
Background Temperature

Abstract We present constraints on inflationary dynamics and features in the primordial power spectrum of scalar perturbations using the Cosmic Microwave Background temperature, polarization data from Planck 2018 data release and updated likelihoods. We constrain the slow-roll dynamics using Hilltop Quartic Potential and Starobinsky R + R 2 model in the Einstein frame using the Planck 2018 binned Plik likelihood. Using the Hilltop as base potential, we construct Whipped Inflation potential to introduce suppression in the scalar power spectrum at large angular scales. We notice marginal (68% C.L.) preference of suppression from the large scale temperature angular power spectrum. However, large-scale E-mode likelihood based on high frequency instrument cross spectrum, does not support this suppression and in the combined data the preference towards the suppression becomes negligible. Based on the Hilltop and Starobinsky model, we construct the Wiggly Whipped Inflation potentials to introduce oscillatory features along with the suppression. We use unbinned data from the recently released CamSpec v12.5 likelihood which updates Planck 2018 results. We compare the Bayesian evidences of the feature models with their baseline slow-roll potentials. We find that the complete slow-roll baseline potential is moderately preferred against potentials which generate features. Compared to Planck 2015 PlikHM bin1 likelihood, we find that the significance of sharp features has decreased owing to the updates in the data analysis pipeline. We also compute the bispectra for the best fit candidates obtained from our analysis.

scholarly journals Featuring the primordial power spectrum: New constraints on interrupted slow-roll from CMB and LRG data

2013 ◽  
Vol 87 (2) ◽  
Author(s):  
Micol Benetti ◽  
Stefania Pandolfi ◽  
Massimiliano Lattanzi ◽  
Matteo Martinelli ◽  
Alessandro Melchiorri
Keyword(s):  
Power Spectrum ◽  
Slow Roll ◽  
Primordial Power Spectrum

scholarly journals Reconstruction of the primordial power spectrum by direct inversion

2010 ◽  
Vol 2010 (01) ◽  
pp. 016-016 ◽  
Author(s):  
Gavin Nicholson ◽  
Carlo R Contaldi ◽  
Paniez Paykari
Keyword(s):  
Power Spectrum ◽  
Direct Inversion ◽  
Primordial Power Spectrum

scholarly journals Scale invariance of the primordial tensor power spectrum

2017 ◽  
Vol 95 (8) ◽  
Author(s):  
Gonzalo A. Palma ◽  
Bastián Pradenas ◽  
Walter Riquelme ◽  
Spyros Sypsas
Keyword(s):  
Power Spectrum ◽  
Scale Invariance ◽  
Tensor Power

scholarly journals Measuring the effects of loop quantum cosmology in the CMB data

2017 ◽  
Vol 26 (12) ◽  
pp. 1743023 ◽  
Author(s):  
Spyros Basilakos ◽  
Vahid Kamali ◽  
Ahmad Mehrabi
Keyword(s):  
Power Spectrum ◽  
Spectral Index ◽  
Excellent Agreement ◽  
Quantum Cosmology ◽  
Loop Quantum Cosmology ◽  
Alternative Scenario ◽  
Slow Roll ◽  
Scalar Spectral Index ◽  
Robust Prediction ◽  
Scalar Fluctuation

In this paper we investigate the observational signatures of Loop Quantum Cosmology (LQC) in the CMB data. First, we concentrate on the dynamics of LQC and we provide the basic cosmological functions. We then obtain the power spectrum of scalar and tensor perturbations in order to study the performance of LQC against the latest CMB data. We find that LQC provides a robust prediction for the main slow-roll parameters, like the scalar spectral index and the tensor-to-scalar fluctuation ratio, which are in excellent agreement within [Formula: see text] with the values recently measured by the Planck collaboration. This result indicates that LQC can be seen as an alternative scenario with respect to that of standard inflation.

Sign in / Sign up

Export Citation Format

Share Document