Two-loop evolution kernels for colour dependent double parton distributions

TL;DR

This paper calculates the next-to-leading order evolution kernels for color-dependent double parton distributions, crucial for understanding their scale dependence when partons are color correlated.

Contribution

It provides the first computation of two-loop evolution kernels for color-dependent double parton distributions at NLO, extending previous knowledge beyond unpolarized cases.

Findings

Derived NLO kernels for unpolarized and polarized partons

Enhanced understanding of color correlations in double parton distributions

Facilitates more accurate modeling of double parton scattering

Abstract

A key ingredient in the description of double parton distributions is their scale dependence. If the colour of each individual parton is summed over, the distributions evolve with the same DGLAP kernels as ordinary parton distributions. This is no longer true if the two partons are colour correlated. We compute the relevant kernels for this case at next-to-leading order in the strong coupling, for unpolarised or longitudinally polarised partons and for transversely polarised quarks.