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The sound horizon-independent $H_0$ extracted by using galaxy clustering surveys data through, e.g., EFTofLSS or ShapeFit analyses, is considered to have the potential to constrain the early new physics responsible for solving the Hubble tension.
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L. Verde, N. Schöneberg, and H. Gil-Marín, A Tale of Many H0, Ann. Rev. Astron. Astrophys. 62
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