Light-neutral meson production in pp collisions at $\sqrt{s}=13$ TeV at forward rapidity in ALICE at the CERN LHC

The ordinary matter surrounding us is made of hadrons which in turn are composed of quarks and gluons. These latter are elementary constituents which cannot be observed in a free state. However it is at present recognized that this matter confined within hadrons can undergo, under extreme conditions of high temperature and/or high net baryonic density, a transition to a state of deconfined quarks and gluons which is called quark gluon plasma. The conditions required to form this quark gluon plasma can be experimentally achieved using a machine capable of colliding nuclei at very high energies: this is particularly the case at CERN where is located the world's largest and most powerful particle accelerator, the Large Hadron Collider, which collided Pb ions at a center-of-mass energy of 2.76 to 5.02 TeV per nucleon pair and protons of 0.9 to 13 TeV. Pb-Pb collisions at such relativistic energies definitely allow for the suitable density conditions to form the quark gluon plasma phase. This thesis work contributes to this physics program by studying the production of neutral light mesons in collisions of proton-proton at 13 TeV, which provides the necessary reference to understand further observations done in Pb-Pb collisions. This study has been performed in the dimuon decay channel by analyzing the dimuon invariant mass spectrum in the region of masses lower than 1.5 GeV/c$^{2}$, giving access to the measurement of the cross sections of $\eta$, $\rho/\omega$ and $\phi$ meson.