A powder with a volume-weighted particle size distribution, with a median diameter D50 ranging from 40 to 120 micrometers, including at least one polyaryl ether ketone and at least one filler, in which: said at least one polyaryl ether ketone forms a matrix incorporating, at least partly, said at least one filler, and said filler has a Stokes equivalent spherical diameter distribution with a median diameter d′50 of less than or equal to 5 micrometers. Also a powder manufacturing process and the use thereof in a process for the layer-by-layer construction of objects by electromagnetic radiation-mediated sintering.