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Baryon acoustic oscillations (BAOs) are a powerful probe of the expansionhistory of our Universe and are typically measured in the two-point statisticsof a galaxy survey, either in Fourier space or in configuration space. In thiswork, we report a first measurement of BAOs from a joint fit of power spectrumand correlation function multipoles. We tested our new framework with a set of1000 mock catalogs and showed that our method yields smaller biases on BAOparameters than individually fitting power spectra or correlation functions, orwhen combining them with the Gaussian approximation method. Our estimateduncertainties are slightly larger than those from the Gaussian approximation,likely due to noise in our sample covariance matrix, the larger number ofnuisance parameters, or the fact that our new framework does not rely on theassumption of Gaussian likelihoods for the BAO parameters. However, we arguethat our uncertainties are more reliable since they rely on fewer assumptions,and because our method takes correlations between Fourier and configurationspace at the level of the two-point statistics. We performed a joint analysisof the luminous red galaxy sample of the extended baryon oscillationspectroscopic survey (eBOSS) data release 16, obtaining $D_H/r_d = 19.27 \pm0.48$ and $D_M/r_d = 17.77 \pm 0.37$, in excellent agreement with the officialeBOSS consensus BAO-only results $D_H/r_d = 19.33 \pm 0.53$ and $D_M/r_d =17.86\pm 0.33$.

Baryon acoustic oscillations from a joint analysis of the large-scale clustering in Fourier and configuration space