Perturbative growth of electroweak high-multiplicity processes in view of future circular hadron colliders [Probing fundamental physics at 100 TeV]

<!--HTML-->Following a short theoretical motivation based on non-perturbative B+L violating physics within the SM, the talk will be based on applying instead a purely perturbative technique for computing amplitudes and cross sections for processes involving very high multiplicities of Higgses and massive vector bosons. At tree-level, I’ll review known results for such amplitudes on multiparticle mass-thresholds and will generalise these computations to more general kinematics away from the threshold. I’ll explain that these processes exhibit a factorial growth with the number of massive particle in the final state and that this is in contradiction with perturbative unitarity. This signals the breakdown of our trusted weakly coupled perturbation theory at energies ~ 50 - 1000 TeV and can lead to new unexpected physics signatures and phenomena at these energy scales. I’ll comment on what is currently known about the loop effects and will discuss the general expected structure of the high-energy high-multiplicity cross sections and will draw conclusions about the findings and future work.