Abstract
The AMS-02 experiment has ushered cosmic-ray physics into precision era. In another paper, we designed an improved method to calibrate propagation models on B/C data. Here we provide a robust prediction of the pbar flux, accounting for several sources of uncertainties and their correlations. Combined with a correlation matrix for the pbar data, we show that the latter are consistent with a secondary origin. This Letter presents key elements relevant to dark matter search in this channel, notably by pointing out the inherent difficulties in achieving predictions at the percent-level precision.