http://arxiv.org/abs/1705.03925
Observations of the cosmic microwave background (CMB) today allow us to answer detailed questions about the properties of our Universe, targeting both standard and non-standard physics. In this paper, we study the effects of varying fundamental constants (i.e., the fine-structure constant, $\alpha_{\rm EM}$, and electron rest mass, $m_{\rm e}$) around last scattering using the recombination codes CosmoRec and Recfast++. We approach the problem in a pedagogical manner, illustrating the importance of various effects on the free electron fraction, Thomson visibility function and CMB power spectra, highlighting various degeneracies. We demonstrate that the simpler Recfast++ treatment (based on a three-level atom approach) can be used to accurately represent the full computation of CosmoRec. We also include explicit time-dependent variations using a phenomenological power-law description. Assuming constant variations relative to the standard values, in agreement with earlier studies we find $\alpha_{\rm EM}/\alpha_{\rm EM,0}=0.9988\pm 0.0033$ and $m_{\rm e}/m_{\rm e,0}= 0.9974\pm 0.0094$ using Planck 2015 data. For a redshift-dependent variation of $\alpha_{\rm EM}(z)=\alpha_{\rm EM,0}\,[(1+z)/1100]^p$ we obtain $p=0.0005\pm 0.0022$. Allowing simultaneous variations of $\alpha_{\rm EM}$ and $p$, we find $\alpha_{\rm EM}/\alpha_{\rm EM,0} = 0.9989 \pm 0.0053$ and $p = -0.0001\pm 0.0036$. Our analysis thus shows that existing data is not only sensitive to the value of the fundamental constants around recombination but also its first time derivative.
L. Hart and J. Chluba
Fri, 12 May 17
54/55
Comments: 10 pages, 13 figures, 1 table, to be submitted to MNRAS
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