Integrated collider luminosity (${\mathcal{L}}_{\mathrm{int}}=\int \mathcal{L}(t)dt$)

The time integral of the incident-beam overlap flux, with inverse-area units. For a fixed production cross section, the mean produced event count is $N={\mathcal{L}}_{\mathrm{int}}\sigma$. A selected count includes efficiency and acceptance, often integrated over final-state kinematics. This is distinct from astrophysical radiative luminosity, which has power units.