Measurement of the very forward $\pi^0$ and $\eta$ meson productions in p-p collisions at $\sqrt{s}$=13 TeV with the LHCf detector

The Large Hadron Collider forward (LHCf) experiment was designed to measure the production of neutral particles in the forward region of the CERN Large Hadron Collider (LHC) interactions. The goal of the experiment is to provide precise measurements of these particles to improve the understanding of ultra-high energy cosmic ray (UHECR) interactions with the Earth atmosphere. In this work, we would like to present the latest LHCf results relative to the measurement of the forward $\pi^{0}$ and $\eta$ meson productions in proton-proton collisions at $\sqrt{s}=13$ TeV. This is the first observation of $\eta$ mesons in the forward region of high-energy collisions. The measurements of the two meson productions play a crucial role in calibrating hadronic interaction models widely used in the simulation of the UHECR interactions with the atmosphere.