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The observation of a very-high-energy neutrino by IceCube (IceCube-170922A)and its association with the flaring blazar TXS 0506+056 provided the firstmultimessenger observations of blazar jets, demonstrating the important role ofprotons in their dynamics and emission. In this paper, we present SOPRANO(https://www.amsdc.am/soprano), a new conservative implicit kinetic code whichfollows the time evolution of the isotropic distribution functions of protons,neutrons and the secondaries produced in photo-pion and photo-pairinteractions, alongside with the evolution of photon and electron/positrondistribution functions. SOPRANO is designed to study leptonic and hadronicprocesses in relativistic sources such as blazars and gamma-ray bursts. Here,we use SOPRANO to model the broadband spectrum of TXS 0506+056 and 3HSPJ095507.9+355101, which are associated with neutrino events, and of the extremeflaring blazar 3C 279. The SEDs are interpreted within the guise of both ahadronic and a hybrid model. We discuss the implications of our assumptions interms of jet power and neutrino flux.

Time-dependent lepto-hadronic modeling of the emission from blazar jets with SOPRANO: the case of TXS 0506+056, 3HSP J095507.9+355101 and 3C 279