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Title: Suppression of the long-wavelength CMB spectrum from the Hartle–Hawking wave function in the Starobinsky-type inflation model

Abstract

The lack of correlations on the large scale cosmic microwave background (CMB) anisotropy provides a potential window to probe beyond the standard inflationary scenario. Herein, we investigate the primordial power spectrum based on the Hartle–Hawking (HH) no-boundary proposal for a homogeneous, isotropic, and spatially-closed universe that leads to Starobinsky-type inflation after the classicalization. While we found that there is no suppression at large scales in the standard $R+R^2$ theory, we also found that it is possible to sufficiently suppress the large-scale power spectrum if a pre-inflationary stage is introduced to the Starobinsky-type model. In addition, such a pre-inflationary stage will be helpful to explain the preference of large e-foldings of the $HH$ proposal. We calculate the $$C^{TT}_{ℓ}$$ correlation function and show that our proposal gives a better fit to the Planck CMB data. This suggests that our universe might have begun with a compact $HH$ state with a small positive curvature.

Authors:
 [1];  [2];  [3]
  1. National Taiwan Univ., Taipei (Taiwan); SLAC National Accelerator Lab., Menlo Park, CA (United States). Kavli Institute for Particle Astrophysics and Cosmology
  2. National Taiwan Univ., Taipei (Taiwan)
  3. Asia Pacific Center for Theoretical Physics, Pohang (Republic of Korea); POSTECH, Pohang (Republic of Korea); Pusan National Univ., Busan (Republic of Korea)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE; Taiwan National Science Council; Korean Ministry of Education, Science and Technology; National Research Foundation of Korea (NRF); Asia Pacific Center for Theoretical Physics
OSTI Identifier:
1608984
Alternate Identifier(s):
OSTI ID: 1579446
Grant/Contract Number:  
AC02-76SF00515; 2018R1D1A1B07049126
Resource Type:
Accepted Manuscript
Journal Name:
Physics of the Dark Universe
Additional Journal Information:
Journal Volume: 27; Journal Issue: C; Journal ID: ISSN 2212-6864
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS

Citation Formats

Chen, Pisin, Yeh, Hsiao-Heng, and Yeom, Dong-Han. Suppression of the long-wavelength CMB spectrum from the Hartle–Hawking wave function in the Starobinsky-type inflation model. United States: N. p., 2019. Web. https://doi.org/10.1016/j.dark.2019.100435.
Chen, Pisin, Yeh, Hsiao-Heng, & Yeom, Dong-Han. Suppression of the long-wavelength CMB spectrum from the Hartle–Hawking wave function in the Starobinsky-type inflation model. United States. https://doi.org/10.1016/j.dark.2019.100435
Chen, Pisin, Yeh, Hsiao-Heng, and Yeom, Dong-Han. Thu . "Suppression of the long-wavelength CMB spectrum from the Hartle–Hawking wave function in the Starobinsky-type inflation model". United States. https://doi.org/10.1016/j.dark.2019.100435. https://www.osti.gov/servlets/purl/1608984.
@article{osti_1608984,
title = {Suppression of the long-wavelength CMB spectrum from the Hartle–Hawking wave function in the Starobinsky-type inflation model},
author = {Chen, Pisin and Yeh, Hsiao-Heng and Yeom, Dong-Han},
abstractNote = {The lack of correlations on the large scale cosmic microwave background (CMB) anisotropy provides a potential window to probe beyond the standard inflationary scenario. Herein, we investigate the primordial power spectrum based on the Hartle–Hawking (HH) no-boundary proposal for a homogeneous, isotropic, and spatially-closed universe that leads to Starobinsky-type inflation after the classicalization. While we found that there is no suppression at large scales in the standard $R+R^2$ theory, we also found that it is possible to sufficiently suppress the large-scale power spectrum if a pre-inflationary stage is introduced to the Starobinsky-type model. In addition, such a pre-inflationary stage will be helpful to explain the preference of large e-foldings of the $HH$ proposal. We calculate the $C^{TT}_{ℓ}$ correlation function and show that our proposal gives a better fit to the Planck CMB data. This suggests that our universe might have begun with a compact $HH$ state with a small positive curvature.},
doi = {10.1016/j.dark.2019.100435},
journal = {Physics of the Dark Universe},
number = C,
volume = 27,
place = {United States},
year = {2019},
month = {12}
}