Abstract
At small inter-parton distances, double parton distributions receive their dominant contribution from the splitting of a single parton. We compute this mechanism at next-to-leading order in perturbation theory for all colour configurations of the observed parton pair. Rapidity divergences are handled either by using spacelike Wilson lines or by applying the δ regulator. We investigate the behaviour of the two-loop contributions in different kinematic limits, and we illustrate their impact in different channels.
Highlights
To interpret measurements at the Large Hadron Collider in its high-luminosity phase, it is of great importance to understand the strong-interaction part of proton-proton collisions as much as possible
LO results receive substantial corrections from higher orders. This is typically true for hard-scattering cross sections in hadron-hadron collisions, which motivates an analysis of double parton scattering (DPS) at next-to-leading order (NLO)
Since such an analysis requires all perturbative ingredients to be available at NLO, we computed the splitting kernels for double parton distributions (DPDs) at this order in [64], restricting ourselves to unpolarised partons and uncorrelated parton colours
Summary
To interpret measurements at the Large Hadron Collider in its high-luminosity phase, it is of great importance to understand the strong-interaction part of proton-proton collisions as much as possible This provides a strong motivation for the study of double parton scattering (DPS), which is a mechanism in which two pairs of partons initiate two separate hard-scattering processes in a single collision. LO results receive substantial corrections from higher orders This is typically true for hard-scattering cross sections in hadron-hadron collisions, which motivates an analysis of DPS at next-to-leading order (NLO). Since such an analysis requires all perturbative ingredients to be available at NLO, we computed the splitting kernels for DPDs at this order in [64], restricting ourselves to unpolarised partons and uncorrelated parton colours. A number of formulae and technical explanations can be found in appendices A to D
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