Measurement of inclusive J/$\psi$ pair production cross section in pp collisions at $\sqrt{s}=13$ TeV

The production cross section of inclusive J/$\psi$ pairs in pp collisions at a centre-of-mass energy $\sqrt{s}=13$ TeV is measured with ALICE. The measurement is performed for J/$\psi$ in the rapidity interval $2.5<y<4.0$ and for transverse momentum $p_{\mathrm{T}}>0$. The production cross section of inclusive J/$\psi$ pairs is reported to be $10.3\pm 2.3(\mathrm{s}\mathrm{t}\mathrm{a}\mathrm{t}\mathrm{.})\pm 1.3(\mathrm{s}\mathrm{y}\mathrm{s}\mathrm{t}\mathrm{.})$ nb in this kinematic interval. The contribution from non-prompt J/$\psi$ (i.e. originated from beauty-hadron decays) to the inclusive sample is evaluated. The effective double-parton scattering cross section is computed, neglecting the single-parton scattering contribution.