https://doi.org/10.1140/epjc/s10052-021-09822-1
Regular Article - Theoretical Physics
Double parton distributions out of bounds in colour space
1
Deutsches Elektronen-Synchrotron DESY, Notkestr. 85, 22607, Hamburg, Germany
2
Department of Physics and Astronomy, University of Manchester, M13 9PL, Manchester, UK
3
Department of Physics and Astronomy, Uppsala University, Box 516, 75120, Uppsala, Sweden
Received:
18
October
2021
Accepted:
8
November
2021
Published online:
26
November
2021
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.
© The Author(s) 2021
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