Double, triple, and $n$-parton scatterings in high-energy proton and nuclear collisions

Understand

The framework to compute the cross sections for the production of particles with high mass and/or large transverse momentum in double- (DPS), triple- (TPS), and in general $n$-parton scatterings, from the corresponding single-parton ($\sigma_{\rm SPS}$) values in high-energy proton-proton, proton-nucleus, and nucleus-nucleus is reviewed.

• The basic parameter of the factorized $n$-parton scattering ansatz is an effective cross section $\sigma_{\rm eff}$ encoding all unknowns about the underlying generalized $n$-parton distribution in the proton (nucleon).
• In its simplest and most economical form, the $\sigma_{\rm eff}$ parameter can be derived from the transverse parton profile of the colliding protons and/or nucleus, using a Glauber approach.
• Numerical examples for the cross sections and yields expected for the concurrent DPS or TPS production of heavy-quarks, quarkonia, and/or gauge bosons in proton and nuclear collisions at LHC and Future Circular Collider (FCC) energies are provided.