  We investigate the phenomenological aspects of non-perturbative baryon- and
lepton-number-violating processes at hadron colliders. Such processes, induced
by instanton/sphaleron configurations of the electroweak gauge fields, are
believed to play a crucial role in the generation of baryon asymmetry in the
early Universe at finite temperature. On the other hand, at colliders (that
represent the zero-temperature high-energy regime) the rate and observability
of such processes are still under debate. Motivated by current theoretical
considerations, we construct a modern event generator within the
general-purpose Herwig Monte Carlo framework, that aims to capture the most
relevant features of the dominant processes. We perform a detailed
phenomenological analysis focussing on the Large Hadron Collider, at 13 TeV
proton-proton centre-of-mass energy, a potential high-energy upgrade at 27 TeV
and the proposed Future Circular Collider (FCC-hh) at 100 TeV. We derive
constraints on the expected rates for various parametrisations of our model. We
find that all three colliders are capable of providing meaningful information
on the nature of instanton/sphaleron-induced processes at various energy
scales.
