A Consistent Model of Local Interstellar Cosmic-Ray Spectra and Non-Thermal Interstellar Emissions

Cosmic rays produce interstellar emission at gamma-ray energies, seen by Fermi LAT, by interacting with gas and photons in the Galaxy. At the other side of the electromagnetic spectrum, the same cosmic-ray electrons produce interstellar emission at radio and microwaves by spiralling in the Galactic magnetic fields.Accounting for multifrequency observations of the interstellar emission from radio to gamma rays for specific regions, and accounting for the latest accurate cosmic-ray direct measurements, as a first result we obtain a measurement of the local interstellar cosmic-ray spectra independent of solar modulation, and stringent information on propagation models. Then, we use our resulting best model to calculate the expected all-sky gamma-ray emission distribution. As a second result, we find that this best model produces a more peaked inverse-Compton emission in the inner Galaxy region with respect to the standard models used so far in studies of Fermi Large Area Telescope data.This contribution discusses the results based on the work published in Orlando (2018) MNRAS 475, 2724 and Orlando (2019) Physical Review D accepted.