4D Gauss–Bonnet gravity: Cosmological constraints, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e1677" altimg="si127.svg"><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:math> tension and large scale structure

We perform correct and reasonable cosmological constraints on the newly proposed 4D Gauss-Bonnet gravity. Using joint constraint from cosmic microwave background, baryon acoustic oscillations, Type Ia supernovae, chronometers redshift space distortions, we obtain, so far, strongest $\tilde{\alpha}=(1.2\pm5.2)\times 10^{-17}$, namely $\alpha=(2.69\pm11.67)\times10^{48}$ eV$^{-2}$, among various observational limitations different information channels, which is tighter than previous bound speed of gravitational wave by at least one order magnitude. find that our well supported observations temperature lensing potential power spectra background Planck-2018 final release. Very interestingly, large $H_0$ tension between local measurement Hubble Space Telescope global derivation data under assumption $\Lambda$CDM can be greatly resolved $4.4\sigma$ to $1.94\sigma$ level in In theory, this model partly relieve coincidence problem rescaling term, needs help constant explain current acceleration, unable serve as dark energy alone.