English

Double parton distributions out of bounds in colour space

High Energy Physics - Phenomenology 2021-12-08 v2

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.

Keywords

Cite

@article{arxiv.2109.14304,
  title  = {Double parton distributions out of bounds in colour space},
  author = {Markus Diehl and Jonathan R. Gaunt and Peter Plossl and Paolo Pichini},
  journal= {arXiv preprint arXiv:2109.14304},
  year   = {2021}
}

Comments

32 pages, 13 figures. v2: minor text changes, updated reference [12], changed equation numbering