The PHENIX experiment at the Relativistic Heavy Ion Collider has measured the differential cross section of $\phi$(1020) meson production at forward rapidity in $p$$+$$p$ collisions at $\sqrt{s}=$510 GeV via the dimuon decay channel. The integrated cross section in the rapidity and $p_T$ ranges $1.2<|y|<2.2$ and $2
The $\phi$-meson-production cross section d$\sigma_{\phi}$/dy in $p$ + $p$ collisions at $\sqrt{s}$ = 510 GeV integrated in the transverse-momentum range 2 < $p_T$ < 7 GeV/$c$.
The $\phi$-meson-production cross section d$\sigma_{\phi}$/dy in $p$ + $p$ collisions at $\sqrt{s}$ = 510 GeV integrated in the transverse-momentum range 2 < $p_T$ < 7 GeV/$c$.
The $\phi$-meson-differential-production cross section d${}^{2}$$\sigma_{\phi}/dp_T dy$ for 1.2 < |y| < 2.2 in $p$ + $p$ collisions at $\sqrt{s}$ = 510 GeV.