Energy dependence of $$\phi $$ meson production at forward rapidity in pp collisions at the LHC

The production of phi mesons has been studied in pp collisions at LHC energies with the ALICE detector via the dimuon decay channel in the rapidity region 2.5 < y < 4. Measurements of the differential cross section d(2)sigma/dyd p(T) are presented as a function of the transverse momentum (p(T)) at the center-of-mass energies root s = 5.02, 8 and 13 TeV and compared with the ALICE results at midrapidity. The differential cross sections at root s = 5.02 and 13 TeV are also studied in several rapidity intervals as a function of p(T), and as a function of rapidity in three pT intervals. A hardening of the p(T)-differential cross section with the collision energy is observed, while, for a given energy, p(T) spectra soften with increasing rapidity and, conversely, rapidity distributions get slightly narrower at increasing p(T). The new results, complementing the published measurements at root s = 2.76 and 7 TeV, allow one to establish the energy dependence of phi meson production and to compare the measured cross sections with phenomenological models. None of the considered models manages to describe the evolution of the cross section with p(T) and rapidity at all the energies.