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We propose a model-independent \textit{B\'ezier parametric interpolation} toalleviate the degeneracy between baryonic and dark matter abundances by meansof intermediate-redshift data. To do so, we first interpolate the observationalHubble data to extract cosmic bounds over the (reduced) Hubble constant, $h_0$,and interpolate the angular diameter distances, $D(z)$, of the galaxy clusters,inferred from the Sunyaev-Zeldovich effect, constraining the spatial curvature,$\Omega_k$. Through the so-determined Hubble points and $D(z)$, we interpolateuncorrelated data of baryonic acoustic oscillations bounding the baryon($\omega_b = h^2_0\Omega_b$) and total matter ($\omega_m = h^2_0\Omega_m$)densities, reinforcing the constraints on $h_0$ and $\Omega_k$ with the sametechnique. Instead of pursuing the usual treatment to fix $\omega_b$ via thevalue obtained from the cosmic microwave background to remove the matter sectordegeneracy, we here interpolate the acoustic parameter from correlated baryonicacoustic oscillations. The results of our Monte Carlo--Markov chain simulationsturn out to agree at $1$--$\sigma$ confidence level with the flat $\Lambda$CDMmodel. While our findings are roughly suitable at $1$--$\sigma$ with itsnon-flat extension too, the Hubble constant appears in tension up to the$2$--$\sigma$ confidence level. Accordingly, we also reanalyze the Hubbletension with our treatment and find our expectations slightly match localconstraints.

Breaking the baryon-dark matter degeneracy in a model-independent way through the Sunyaev-Zeldovich effect