skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Towards a measurement of the spectral runnings

Abstract

Single-field slow-roll inflation predicts a nearly scale-free power spectrum of perturbations, as observed at the scales accessible to current cosmological experiments. This spectrum is slightly red, showing a tilt (1− n {sub s} )∼ 0.04. A direct consequence of this tilt are nonvanishing runnings α {sub s} = d n {sub s} / dlog k , and β {sub s} = dα {sub s} / dlog k , which in the minimal inflationary scenario should reach absolute values of 10{sup −3} and 10{sup −5}, respectively. In this work we calculate how well future surveys can measure these two runnings. We consider a Stage-4 (S4) CMB experiment and show that it will be able to detect significant deviations from the inflationary prediction for α {sub s} , although not for β {sub s} . Adding to the S4 CMB experiment the information from a WFIRST-like or a DESI-like survey improves the sensitivity to the runnings by ∼ 20%, and 30%, respectively. A spectroscopic survey with a billion objects, such as the SKA, will add enough information to the S4 measurements to allow a detection of α {sub s} =10{sup −3}, required to probe the single-field slow-roll inflationary paradigm. We show thatmore » only a very-futuristic interferometer targeting the dark ages will be capable of measuring the minimal inflationary prediction for β {sub s} . The results of other probes, such as a stochastic background of gravitational waves observable by LIGO, the Ly-α forest, and spectral distortions, are shown for comparison. Finally, we study the claims that large values of β {sub s} , if extrapolated to the smallest scales, can produce primordial black holes of tens of solar masses, which we show to be easily testable by the S4 CMB experiment.« less

Authors:
; ; ; ;  [1]
  1. Department of Physics and Astronomy, Johns Hopkins University, 3400 N. Charles St., Baltimore, MD 21218 (United States)
Publication Date:
OSTI Identifier:
22676210
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2017; Journal Issue: 05; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; BLACK HOLES; COMPARATIVE EVALUATIONS; DETECTION; DISTURBANCES; FORECASTING; GRAVITATIONAL WAVES; INTERFEROMETERS; MASS; PERTURBATION THEORY; RELICT RADIATION; SENSITIVITY; SPECTRA; STOCHASTIC PROCESSES

Citation Formats

Muñoz, Julian B., Kovetz, Ely D., Raccanelli, Alvise, Kamionkowski, Marc, and Silk, Joseph, E-mail: julianmunoz@jhu.edu, E-mail: ekovetz1@jhu.edu, E-mail: alvise@icc.ub.edu, E-mail: mkamion1@jhu.edu, E-mail: joseph.silk@physics.ox.ac.uk. Towards a measurement of the spectral runnings. United States: N. p., 2017. Web. doi:10.1088/1475-7516/2017/05/032.
Muñoz, Julian B., Kovetz, Ely D., Raccanelli, Alvise, Kamionkowski, Marc, & Silk, Joseph, E-mail: julianmunoz@jhu.edu, E-mail: ekovetz1@jhu.edu, E-mail: alvise@icc.ub.edu, E-mail: mkamion1@jhu.edu, E-mail: joseph.silk@physics.ox.ac.uk. Towards a measurement of the spectral runnings. United States. doi:10.1088/1475-7516/2017/05/032.
Muñoz, Julian B., Kovetz, Ely D., Raccanelli, Alvise, Kamionkowski, Marc, and Silk, Joseph, E-mail: julianmunoz@jhu.edu, E-mail: ekovetz1@jhu.edu, E-mail: alvise@icc.ub.edu, E-mail: mkamion1@jhu.edu, E-mail: joseph.silk@physics.ox.ac.uk. Mon . "Towards a measurement of the spectral runnings". United States. doi:10.1088/1475-7516/2017/05/032.
@article{osti_22676210,
title = {Towards a measurement of the spectral runnings},
author = {Muñoz, Julian B. and Kovetz, Ely D. and Raccanelli, Alvise and Kamionkowski, Marc and Silk, Joseph, E-mail: julianmunoz@jhu.edu, E-mail: ekovetz1@jhu.edu, E-mail: alvise@icc.ub.edu, E-mail: mkamion1@jhu.edu, E-mail: joseph.silk@physics.ox.ac.uk},
abstractNote = {Single-field slow-roll inflation predicts a nearly scale-free power spectrum of perturbations, as observed at the scales accessible to current cosmological experiments. This spectrum is slightly red, showing a tilt (1− n {sub s} )∼ 0.04. A direct consequence of this tilt are nonvanishing runnings α {sub s} = d n {sub s} / dlog k , and β {sub s} = dα {sub s} / dlog k , which in the minimal inflationary scenario should reach absolute values of 10{sup −3} and 10{sup −5}, respectively. In this work we calculate how well future surveys can measure these two runnings. We consider a Stage-4 (S4) CMB experiment and show that it will be able to detect significant deviations from the inflationary prediction for α {sub s} , although not for β {sub s} . Adding to the S4 CMB experiment the information from a WFIRST-like or a DESI-like survey improves the sensitivity to the runnings by ∼ 20%, and 30%, respectively. A spectroscopic survey with a billion objects, such as the SKA, will add enough information to the S4 measurements to allow a detection of α {sub s} =10{sup −3}, required to probe the single-field slow-roll inflationary paradigm. We show that only a very-futuristic interferometer targeting the dark ages will be capable of measuring the minimal inflationary prediction for β {sub s} . The results of other probes, such as a stochastic background of gravitational waves observable by LIGO, the Ly-α forest, and spectral distortions, are shown for comparison. Finally, we study the claims that large values of β {sub s} , if extrapolated to the smallest scales, can produce primordial black holes of tens of solar masses, which we show to be easily testable by the S4 CMB experiment.},
doi = {10.1088/1475-7516/2017/05/032},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 05,
volume = 2017,
place = {United States},
year = {Mon May 01 00:00:00 EDT 2017},
month = {Mon May 01 00:00:00 EDT 2017}
}
  • We present a calculation of nuclear matter which goes beyond the usual quasiparticle approximation in that it includes part of the off-shell dependence of the self-energy in the self-consistent solution of the single-particle spectrum. The spectral function is separated in contributions for energies above and below the chemical potential. For holes we approximate the spectral function for energies below the chemical potential by a {delta} function at the quasiparticle peak and retain the standard form for energies above the chemical potential. For particles a similar procedure is followed. The approximated spectral function is consistently used at all levels of themore » calculation. Results for a model calculation are presented, the main conclusion is that, although several observables are affected by the inclusion of the continuum contributions, the physical consistency of the model does not improve with the improved self-consistency of the solution method. This is in contrast to expectations based on the crucial role of self-consistency in the proofs of conservation laws. {copyright} {ital 1997} {ital The American Physical Society}« less
  • Highlights: {yields} A radial basis function based smoothing technique is introduced. {yields} It is more general and easier to implement compared to other techniques. {yields} With this technique, a combined immersed boundary and spectral method is developed. {yields} It is shown that the proposed method works better in terms of reducing the non-physical Gibbs oscillation. - Abstract: It is known that, when the immersed boundary method (IBM) is implemented within spectral-like methods, the Gibbs oscillation seriously deteriorates the calculation of derivatives near the body surface. In this paper, a radial basis function (RBF) based smoothing technique is proposed with themore » intention of eliminating or efficiently reducing the Gibbs oscillation without affecting the flow field outside the body. Based on this technique, a combined IBM/spectral scheme is developed to solve the incompressible Navier-Stokes equations. Numerical simulations of flow through a periodic lattice of cylinders of various cross sections are performed. The results demonstrate that the proposed methodology is able to give accurate and nearly oscillation-free numerical solutions of incompressible viscous flows.« less
  • We present a description of a new goniospectroradiometric measurement system developed at the National Physical Laboratory (NPL). The instrument incorporates a modified array spectrometer and a series of rotary stages to allow measurement of the spectral radiant intensity distribution of a variety of different types of light source from 350 to 830 nm. Associated source properties such as chromaticity and correlated color temperature distributions and total spectral flux are then calculated from the radiant intensity data. A preliminary comparison with NPL's integrating sphere-based luminous flux scale shows agreement to within 0.4%, well within the combined measurement uncertainty. Measurements of themore » luminous intensity and color temperature distributions and the spectral total flux of a tungsten filament flux standard, a white LED cluster and a compact fluorescent source made using the goniospectroradiometer, are also presented.« less
  • We carry out a systematical study of the spectral lag properties of 50 single-pulsed gamma-ray bursts (GRBs) detected by the Fermi Gamma-Ray Burst Monitor. By dividing the light curves into multiple consecutive energy channels, we provide a new measurement of the spectral lag that is independent of energy channel selections. We perform a detailed statistical study of our new measurements. We find two similar power-law energy dependencies of both the pulse arrival time and pulse width. Our new results on the power-law indices would favor the relativistic geometric effects for the origin of spectral lag. However, a complete theoretical frameworkmore » that can fully account for the diverse energy dependencies of both arrival time and pulse width revealed in this work is still lacking. We also study the spectral evolution behaviors of the GRB pulses. We find that a GRB pulse with negligible spectral lag would usually have a shorter pulse duration and would appear to have a “hardness-intensity tracking” behavior, and a GRB pulse with a significant spectral lag would usually have a longer pulse duration and would appear to have a “hard-to-soft” behavior.« less
  • We present a systematic study of transverse energy ([ital E][sub [ital T]]) production in collisions of 11.4[ital A] GeV/[ital c] Au and 14.6[ital A] GeV/[ital c] Si ions with targets of Al, Au, and Pb. Comparison of data for Au+Au and Si+Al indicates that, for the heavier system, there is an increase in the amount of stopping which is accompanied by a decrease in the width of the [ital dE][sub [ital T]]/[ital d][eta] distribution. The ratio of the maximum [ital E][sub [ital T]] observed for the two systems is significantly greater than the ratio of the total energy available inmore » the center of mass frame.« less