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15 February 2025
 
  » arxiv » 1605.0209

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Running the running
Giovanni Cabass ; Eleonora Di Valentino ; Alessandro Melchiorri ; Enrico Pajer ; Joseph Silk ;
Date 1 May 2016
AbstractWe use the recent observations of Cosmic Microwave Background temperature and polarization anisotropies provided by the Planck satellite experiment to place constraints on the running $alpha_mathrm{s} = mathrm{d}n_{mathrm{s}} / mathrm{d}log k$ and the running of the running $eta_{mathrm{s}} = mathrm{d}alpha_{mathrm{s}} / mathrm{d}log k$ of the spectral index $n_{mathrm{s}}$ of primordial scalar fluctuations. We find $alpha_mathrm{s}=0.011pm0.010$ and $eta_mathrm{s}=0.027pm0.013$ at $68\%,mathrm{CL}$, suggesting the presence of a running of the running at the level of two standard deviations. We find no significant correlation between $eta_{mathrm{s}}$ and foregrounds parameters, with the exception of the point sources amplitude at $143,mathrm{GHz}$, $A^{PS}_{143}$, which shifts by half sigma when the running of the running is considered. We further study the cosmological implications of this anomaly by including in the analysis the lensing amplitude $A_L$, the curvature parameter $Omega_k$, and the sum of neutrino masses $sum m_{ u}$. We find that when the running of the running is considered, Planck data are more compatible with the standard expectations of $A_L = 1$ and $Omega_k = 0$ but still hint at possible deviations. The indication for $eta_mathrm{s} > 0$ survives at two standard deviations when external datasets such as BAO and CFHTLenS are included in the analysis, and persists at $sim 1.7$ standard deviations when CMB lensing is considered. We discuss the possibility of constraining $eta_mathrm{s}$ with current and future measurements of CMB spectral distortions, showing that an experiment like PIXIE could provide strong constraints on $alpha_mathrm{s}$ and $eta_mathrm{s}$.
Source arXiv, 1605.0209
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