We present a sound horizon independent measurement of the Hubble parameter using a multiprobe large-scale structure analysis in the $\mathrm{\Lambda }\mathrm{CDM}$ model. Removing the dependency on the sound horizon with a rescaling procedure at the matter power spectrum level, we analyze the BOSS full-shape power spectrum and bispectrum (for the first time) using the effective field theory of large-scale structure up to one loop. We combine this analysis with the auto- and cross-angular power spectra from the DESI Legacy Imaging Survey DR9, the $3\times 2\mathrm{pt}$ analysis from DES Y3 within EFTofLSS framework, and the cosmic microwave background gravitational lensing power spectrum from Planck PR3. Our baseline analysis, which does not rely on supernovae data, yields $h=0.702_{-0.024}^{+0.022}$, ${\mathrm{\Omega }}_m=0.310\pm 0.013$, and ${\sigma }_8=0.799\pm 0.020$, corresponding to 3%–4% precision measurements. When adding supernovae data from Pantheon+, we obtain a 2.6% measurement of $h$, with $h=0.686\pm 0.018$. We further note that our EFTBOSS analysis indicates a slight deviation of the BAO scale parameter ${\alpha }_{r_s}$ (at $1.8\sigma$) from its $\mathrm{\Lambda }\mathrm{CDM}$ value, caused by the small scales of the bispectrum. We finally use the sound horizon-free EFTBOSS analysis as a diagnosis for the presence of new physics, finding that our results are consistent with the recent hints of evolving dark energy.

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• Cosmological parameters
• Large scale structure of the Universe