Markov chain Monte Carlo analyses of the flux ratios of B, Be and Li with the DRAGON2 code

Understanding the transport of cosmic rays is challenging our models of propagation in the Galaxy. A good characterization of the secondary cosmic rays (B, Be, Li and sub-iron species) is crucial to constrain these models and exploit the precision of modern CR experiments. In this work, a Markov chain Monte Carlo analysis has been implemented to fit the experimental flux ratios between B, Be and Li and their flux ratios to the primary cosmic-ray nuclei C and O. We have fitted the data using two different parametrizations for the spallation cross sections. The uncertainties in the evaluation of the spectra of these secondary cosmic rays, due to spallation cross sections, have been taken into account introducing a scale factor as a nuisance parameter in the fits, assuming that this uncertainty is mostly due to the normalization of the cross sections parametrizations. We have also tested two different kind of diffusion coefficients, which differ in the origin of the high energy hardening ($\sim 200$ GeV/n) of cosmic rays. Additionally, two different approaches are used to scale the cross sections, one based on a combined analysis of all the species ("combined" analysis) and the other reproducing the high energy spectra of the secondary-to-secondary flux ratios of Be/B, Li/B, Li/Be ("corrected" analysis). This allows us to make a better comparison between the propagation parameters inferred from both cross sections parametrizations. This novel analysis has been successfully implemented using the numerical code DRAGON2 dedicated to cosmic-ray propagation to reproduce the cosmic-ray nuclei data up to $Z=14$ from the AMS-02 experiment. We report the main results, comparing the different cross sections parametrizations and discussing the impact of these uncertainties.