Can an invisible Higgs boson be seen via diffraction at the LHC

We study the possibility of observing an “invisible” Higgs boson in central exclusive diffractive production at the LHC. We evaluate the cross section using, as a simple example, the standard model with a heavy fourth generation, where the invisible decay mode \(H \to \nu_4 \bar{\nu}_4\) dominates, with the heavy neutrino mass \(M(\nu_4) \simeq 50\) GeV. We discuss the possible requirements on trigger conditions and the background processes.