Double parton distributions out of bounds in colour space
arXiv:2109.14304 · doi:10.1140/epjc/s10052-021-09822-1
Abstract
We investigate the positivity of double parton distributions with a non-trivial dependence on the parton colour. It turns out that positivity is not preserved by leading-order evolution from lower to higher scales, in contrast to the case in which parton colour is summed over. We also study the positivity properties of the distributions at small distance between the two partons, where they can be computed in terms of perturbative splitting kernels and ordinary parton densities.
32 pages, 13 figures. v2: minor text changes, updated reference [12], changed equation numbering
References in corpus (6)
- LHAPDF6: parton density access in the LHC precision era
- Understanding the large-distance behavior of transverse-momentum-dependent parton densities and the Collins-Soper evolution kernel
- Determination of the Collins-Soper Kernel from Lattice QCD
- Soft factors for double parton scattering at NNLO
- Constraining double parton correlations and interferences
- Two-loop splitting in double parton distributions: the colour non-singlet case