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Title: Isocurvature perturbations and tensor mode in light of Planck and BICEP2

Abstract

We investigate the degeneracy of the isocurvature perturbations and the primordial gravitational waves, by using recent observations of the cosmic microwave background (CMB) reported by Planck and BICEP2 collaborations. We show that the tension in the bound on the tensor-to-scalar ratio r between Planck and BICEP2 can be resolved by introducing the anti-correlated isocurvature perturbations. Quantitatively, we find that with the anti-correlated isocurvature perturbations the constraints on r from Planck alone and BICEP2 results can be consistent at 68 % C.L.

Authors:
;  [1];  [2];  [3]
  1. Institute for Cosmic Ray Research, University of Tokyo, Kashiwa 277-8582 (Japan)
  2. Helsinki Institute of Physics, University of Helsinki, PO Box 64, FIN-00014 (Finland)
  3. Department of Physics, Saga University, Saga 840-8502 (Japan)
Publication Date:
OSTI Identifier:
22373385
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2014; Journal Issue: 08; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; GRAVITATIONAL WAVES; PERTURBATION THEORY; RELICT RADIATION; SCALARS; TENSORS

Citation Formats

Kawasaki, Masahiro, Yokoyama, Shuichiro, Sekiguchi, Toyokazu, and Takahashi, Tomo, E-mail: kawasaki@icrr.u-tokyo.ac.jp, E-mail: toyokazu.sekiguchi@helsinki.fi, E-mail: tomot@cc.saga-u.ac.jp, E-mail: shu@icrr.u-tokyo.ac.jp. Isocurvature perturbations and tensor mode in light of Planck and BICEP2. United States: N. p., 2014. Web. doi:10.1088/1475-7516/2014/08/043.
Kawasaki, Masahiro, Yokoyama, Shuichiro, Sekiguchi, Toyokazu, & Takahashi, Tomo, E-mail: kawasaki@icrr.u-tokyo.ac.jp, E-mail: toyokazu.sekiguchi@helsinki.fi, E-mail: tomot@cc.saga-u.ac.jp, E-mail: shu@icrr.u-tokyo.ac.jp. Isocurvature perturbations and tensor mode in light of Planck and BICEP2. United States. doi:10.1088/1475-7516/2014/08/043.
Kawasaki, Masahiro, Yokoyama, Shuichiro, Sekiguchi, Toyokazu, and Takahashi, Tomo, E-mail: kawasaki@icrr.u-tokyo.ac.jp, E-mail: toyokazu.sekiguchi@helsinki.fi, E-mail: tomot@cc.saga-u.ac.jp, E-mail: shu@icrr.u-tokyo.ac.jp. Fri . "Isocurvature perturbations and tensor mode in light of Planck and BICEP2". United States. doi:10.1088/1475-7516/2014/08/043.
@article{osti_22373385,
title = {Isocurvature perturbations and tensor mode in light of Planck and BICEP2},
author = {Kawasaki, Masahiro and Yokoyama, Shuichiro and Sekiguchi, Toyokazu and Takahashi, Tomo, E-mail: kawasaki@icrr.u-tokyo.ac.jp, E-mail: toyokazu.sekiguchi@helsinki.fi, E-mail: tomot@cc.saga-u.ac.jp, E-mail: shu@icrr.u-tokyo.ac.jp},
abstractNote = {We investigate the degeneracy of the isocurvature perturbations and the primordial gravitational waves, by using recent observations of the cosmic microwave background (CMB) reported by Planck and BICEP2 collaborations. We show that the tension in the bound on the tensor-to-scalar ratio r between Planck and BICEP2 can be resolved by introducing the anti-correlated isocurvature perturbations. Quantitatively, we find that with the anti-correlated isocurvature perturbations the constraints on r from Planck alone and BICEP2 results can be consistent at 68 % C.L.},
doi = {10.1088/1475-7516/2014/08/043},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 08,
volume = 2014,
place = {United States},
year = {Fri Aug 01 00:00:00 EDT 2014},
month = {Fri Aug 01 00:00:00 EDT 2014}
}
  • We constrain cosmological models where the primordial perturbations have an adiabatic and a (possibly correlated) cold dark matter (CDM) or baryon isocurvature component. We use both a phenomenological approach, where the power spectra of primordial perturbations are parameterized with amplitudes and spectral indices, and a slow-roll two-field inflation approach where slow-roll parameters are used as primary parameters, determining the spectral indices and the tensor-to-scalar ratio. In the phenomenological case, with CMB data, the upper limit to the CDM isocurvature fraction is {alpha} < 6.4% at k = 0.002 Mpc{sup -1} and 15.4% at k = 0.01 Mpc{sup -1}. The non-adiabaticmore » contribution to the CMB temperature variance is -0.030 < {alpha}{sub T} < 0.049 at the 95% confidence level. Including the supernova (SN) (or large-scale structure) data, these limits become {alpha} < 7.0%, 13.7%, and -0.048 < {alpha}{sub T} < 0.042 (or {alpha} < 10.2%, 16.0%, and -0.071 < {alpha}{sub T} < 0.024). The CMB constraint on the tensor-to-scalar ratio, r < 0.26 at k = 0.01 Mpc{sup -1}, is not affected by the non-adiabatic modes. In the slow-roll two-field inflation approach, the spectral indices are constrained close to 1. This leads to tighter limits on the isocurvature fraction; with the CMB data {alpha} < 2.6% at k = 0.01 Mpc{sup -1}, but the constraint on {alpha}{sub T} is not much affected, -0.058 < {alpha}{sub T} < 0.045. Including SN (or LSS) data, these limits become {alpha} < 3.2% and -0.056 < {alpha}{sub T} < 0.030 (or {alpha} < 3.4% and -0.063 < {alpha}{sub T} < -0.008). In addition to the generally correlated models, we study also special cases where the adiabatic and isocurvature modes are uncorrelated or fully (anti)correlated. We calculate Bayesian evidences (model probabilities) in 21 different non-adiabatic cases and compare them to the corresponding adiabatic models, and find that in all cases the data support the pure adiabatic model.« less
  • The announcement by BICEP2 of the detection of B-mode polarization consistent with primordial gravitational waves with a tensor-to-scalar ratio, r=0.2{sup +0.07}{sub −0.05}, challenged predictions from most inflationary models of a lower value for r. More recent results by Planck on polarized dust emission show that the observed tensor modes signal is compatible with pure foreground emission. A more significant constraint on r was then obtained by a joint analysis of Planck, BICEP2 and Keck Array data showing an upper limit to the tensor to scalar ratio r≤ 0.12, excluding the case 0r= with low statistical significance. Forthcoming measurements by BICEP3, themore » Keck Array, and other CMB polarization experiments, open the possibility for making the fundamental measurement of r. Here we discuss how r sets the scale for models where the dark matter is created at the inflationary epoch, the generically called super-heavy dark matter models. We also consider the constraints on such scenarios given by recent data from ultrahigh energy cosmic ray observatories which set the limit on super-heavy dark matter particles lifetime. We discuss how super-heavy dark matter can be discovered by a precise measurement of r combined with future observations of ultra high energy cosmic rays.« less
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  • The tensor-to-scalar ratio (r = 0.20{sup +0.07}{sub −0.05}) inferred from the excess B-mode power observed by the Background Imaging of Cosmic Extragalactic Polarization (BICEP2) experiment is almost twice as large as the 95% CL upper limits derived from temperature measurements of the WMAP (r < 0.13) and Planck (r < 0.11) space missions. Very recently, it was suggested that additional relativistic degrees of freedom beyond the three active neutrinos and photons can help to relieve this tension: the data favor an effective number of light neutrino species N{sub eff} = 3.86±0.25. Since the BICEP2 ratio implies the energy scale ofmore » inflation (V{sub *}{sup 1/4} ∼ 2 × 10{sup 16} GeV) is comparable to the grand unification scale, in this paper we investigate whether we can accommodate the required N{sub eff} with three right-handed (partners of the left-handed standard model) neutrinos living in the fundamental representation of a grand unified exceptional E{sub 6} group. We show that the superweak interactions of these Dirac states (through their coupling to a TeV-scale Z' gauge boson) lead to decoupling of right-handed neutrino just above the QCD cross over transition: 175 MeV∼« less
  • We generalize the embedding of induced-gravity inflation beyond the no-scale Supergravity presented in ref. [1] employing two gauge singlet chiral superfields, a superpotential uniquely determined by applying a continuous R and a discrete Z{sub n} symmetries, and a logarithmic Kähler potential including all the allowed terms up to fourth order in powers of the various fields. We show that, increasing slightly the prefactor (-3) encountered in the adopted Kähler potential, an efficient enhancement of the resulting tensor-to-scalar ratio can be achieved rendering the predictions of the model consistent with the recent BICEP2 results, even with subplanckian excursions of the originalmore » inflaton field. The remaining inflationary observables can become compatible with the data by mildly tuning the coefficient involved in the fourth order term of the Kähler potential which mixes the inflaton with the accompanying non-inflaton field. The inflaton mass is predicted to be close to 10{sup 14} GeV.« less