$theta_{rm BAO}$ estimates and the $H_0$ tension. (arXiv:2008.03259v1 [astro-ph.CO])
<a href="http://arxiv.org/find/astro-ph/1/au:+Nunes_R/0/1/0/all/0/1">Rafael C. Nunes</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Bernui_A/0/1/0/all/0/1">Armando Bernui</a>
An observational tension on estimates of the Hubble parameter, $H_0$, using
early and late Universe information, is being of intense discussion in the
literature. Additionally, it is of great importance to measure $H_0$
independently of CMB data and local distance ladder method. In this sense, we
analyze 15 measurements of the transversal BAO scale, $theta_{rm BAO}$,
obtained in a weakly model-dependent approach, in combination with other data
sets obtained in a model-independent way, namely, Big Bang Nucleosynthesis
(BBN) information, 6 gravitationally lensed quasars with measured time delays
by the H0LiCOW team, and measures of cosmic chronometers (CC). We find $H_0 =
74.88_{-2.1}^{+1.9}$ km s${}^{-1}$ Mpc${}^{-1}$ and $H_0 = 72.06_{-1.3}^{+1.2}$
km s${}^{-1}$ Mpc${}^{-1}$ from $theta_{BAO}$+BBN+H0LiCOW and
$theta_{BAO}$+BBN+CC, respectively, in fully accordance with local
measurements. Moreover, we estimate the sound horizon at drag epoch, $r_{rm
d}$, independent of CMB data, and find $r_{rm d}=144.1_{-5.5}^{+5.3}$ Mpc
(from $theta_{BAO}$+BBN+H0LiCOW) and $r_{rm d} =150.4_{-3.3}^{+2.7}$ Mpc
(from $theta_{BAO}$+BBN+CC). In a second round of analysis, we test how the
presence of a possible spatial curvature, $Omega_k$, can influence the main
results. We compare our constraints on $H_0$ and $r_{rm d}$ with other
reported values. Our results show that it is possible to use a robust
compilation of transversal BAO data, $theta_{BAO}$, jointly with
model-independent measurements, in such a way that the tension on the Hubble
parameter disappears.
An observational tension on estimates of the Hubble parameter, $H_0$, using
early and late Universe information, is being of intense discussion in the
literature. Additionally, it is of great importance to measure $H_0$
independently of CMB data and local distance ladder method. In this sense, we
analyze 15 measurements of the transversal BAO scale, $theta_{rm BAO}$,
obtained in a weakly model-dependent approach, in combination with other data
sets obtained in a model-independent way, namely, Big Bang Nucleosynthesis
(BBN) information, 6 gravitationally lensed quasars with measured time delays
by the H0LiCOW team, and measures of cosmic chronometers (CC). We find $H_0 =
74.88_{-2.1}^{+1.9}$ km s${}^{-1}$ Mpc${}^{-1}$ and $H_0 = 72.06_{-1.3}^{+1.2}$
km s${}^{-1}$ Mpc${}^{-1}$ from $theta_{BAO}$+BBN+H0LiCOW and
$theta_{BAO}$+BBN+CC, respectively, in fully accordance with local
measurements. Moreover, we estimate the sound horizon at drag epoch, $r_{rm
d}$, independent of CMB data, and find $r_{rm d}=144.1_{-5.5}^{+5.3}$ Mpc
(from $theta_{BAO}$+BBN+H0LiCOW) and $r_{rm d} =150.4_{-3.3}^{+2.7}$ Mpc
(from $theta_{BAO}$+BBN+CC). In a second round of analysis, we test how the
presence of a possible spatial curvature, $Omega_k$, can influence the main
results. We compare our constraints on $H_0$ and $r_{rm d}$ with other
reported values. Our results show that it is possible to use a robust
compilation of transversal BAO data, $theta_{BAO}$, jointly with
model-independent measurements, in such a way that the tension on the Hubble
parameter disappears.
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