The theory of cosmic ray scattering on pre-existing MHD modes meets data

We present a comprehensive study about the phenomenological implications of theory describing Galactic cosmic-ray scattering onto magnetosonic and Alfv\'enic fluctuations in $\mathrm{GeV} - \mathrm{PeV}$ domain. compute set diffusion coefficients from first principles, for different values Mach number other relevant parameters associated to both halo extended disk, taking into account damping mechanisms turbulent acting these environments. confirm that rate turbulence is highly suppressed if anisotropy cascade taken account. On hand, we highlight modes play dominant role confinement cosmic rays up $\mathrm{PeV}$ energies. implement numerical framework {\tt DRAGON} code, simulate equilibrium spectrum primary secondary species. show that, reasonable choices under consideration, all fluxes at high energy (above rigidity $\simeq 200 \, \mathrm{GV}$) are correctly reproduced within our framework, normalization slope.