Probing the potential high-energy messengers of the anticipated T Coronae Borealis outburst

T Coronae Borealis (T CrB) is a nearby recurrent nova that is expected to erupt in the near future, offering a unique opportunity to study particle acceleration and high-energy emission from novae in real time. We investigate the production of gamma rays and neutrinos following the T CrB outburst by combining 3D hydrodynamical simulations with a detailed diffusive shock acceleration model. Our simulations account for the complex circumbinary medium, including the red giant wind, equatorial density enhancement, and the accretion disk. We computed the spatially resolved spectra of accelerated protons and electrons at the forward shock, accounting for downstream velocity gradients and variations in shock properties. Using a multizone approach, we synthesized hadronic gamma-ray emission from proton-proton interactions, leptonic gamma rays from inverse-Compton scattering, and the associated neutrino emission. We present a set of predicted gamma-ray spectra, light curves, and images from our numerical models of T CrB, along with an assessment of their detectability with current gamma-ray and neutrino observatories. We find that the early high-energy emission is dominated by the ejecta, with the accretion disk significantly boosting the gamma-ray flux and particle normalization during the first hours after the outburst. By incorporating velocity gradients in the post-shock flow, we demonstrate that maximum particle energies have the capacity to reach the PeV scale in high-energy explosion scenarios. We show that while GeV gamma rays are prominent messengers, neutrino detection is feasible primarily with models characterized by a high explosion energy and high ambient density.