  Atmospheric muons are the most frequently observed form of cosmic radiation.
Despite this, the existence of the muon flux component produced in decays of
short-lived parent particles, called prompt muon flux still awaits experimental
confirmation. This contribution to the muon flux is expected to start
dominating at high energies, around PeV, since many of the prompt parent
particles are heavy hadrons, containing charm and strange quarks. The aim of
this thesis was two-fold: to evaluate the possibility of observing the prompt
muon flux and to validate the performance of the KM3NeT detectors. [shortened
abstract, the full version is contained in the thesis]
