The Hubble Constant in the Axi-Higgs Universe. (arXiv:2105.01631v2 [astro-ph.CO] UPDATED)

The Hubble Constant in the Axi-Higgs Universe. (arXiv:2105.01631v2 [astro-ph.CO] UPDATED)
<a href="http://arxiv.org/find/astro-ph/1/au:+Fung_L/0/1/0/all/0/1">Leo WH Fung</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Li_L/0/1/0/all/0/1">Lingfeng Li</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Liu_T/0/1/0/all/0/1">Tao Liu</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Luu_H/0/1/0/all/0/1">Hoang Nhan Luu</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Qiu_Y/0/1/0/all/0/1">Yu-Cheng Qiu</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Tye_S/0/1/0/all/0/1">S.-H. Henry Tye</a>

The $Lambda$CDM model provides an excellent fit to the CMB data. However, a
statistically significant tension emerges when its determination of the Hubble
constant $H_0$ is compared to the local distance-redshift measurements. The
axi-Higgs model, which couples ultralight axions to the Higgs field, offers a
specific variation of the $Lambda$CDM model. It relaxes the $H_0$ tension as
well as explains the $^7$Li puzzle in Big-Bang nucleosynthesis, the $S_8$
tension with the weak-lensing data, and the observed isotropic cosmic
birefringence in CMB. In this letter, we demonstrate how the $H_0$ and $S_8$
tensions can be resolved simultaneously, by correlating the axion impacts on
the early and late universe. In a benchmark scenario selected for experimental
tests soon, the analysis combining the CMB+BAO+WL+SN data yields $H_0 = 71.1
pm 1.1$ km/s/Mpc and $S_8 = 0.766 pm 0.011$. Combining this (excluding the
SN(supernovae) part) with the local distance-redshift measurements yields $H_0
= 72.3 pm 0.7$ km/s/Mpc, while $S_8$ is almost unchanged.

The $Lambda$CDM model provides an excellent fit to the CMB data. However, a
statistically significant tension emerges when its determination of the Hubble
constant $H_0$ is compared to the local distance-redshift measurements. The
axi-Higgs model, which couples ultralight axions to the Higgs field, offers a
specific variation of the $Lambda$CDM model. It relaxes the $H_0$ tension as
well as explains the $^7$Li puzzle in Big-Bang nucleosynthesis, the $S_8$
tension with the weak-lensing data, and the observed isotropic cosmic
birefringence in CMB. In this letter, we demonstrate how the $H_0$ and $S_8$
tensions can be resolved simultaneously, by correlating the axion impacts on
the early and late universe. In a benchmark scenario selected for experimental
tests soon, the analysis combining the CMB+BAO+WL+SN data yields $H_0 = 71.1
pm 1.1$ km/s/Mpc and $S_8 = 0.766 pm 0.011$. Combining this (excluding the
SN(supernovae) part) with the local distance-redshift measurements yields $H_0
= 72.3 pm 0.7$ km/s/Mpc, while $S_8$ is almost unchanged.

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