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.
arXiv comment32 pages, 13 figures. v2: minor text changes, updated reference [12], changed equation numbering
References in corpus (26)
- LHAPDF6: parton density access in the LHC precision era
- New parton distribution functions from a global analysis of quantum chromodynamics
- Generalized parton distributions in impact parameter space
- Positivity Constraints for Spin-Dependent Parton Distributions
- Higgs Production with a Central Jet Veto at NNLL+NNLO
- Elements of a theory for multiparton interactions in QCD
- Bounds on transverse momentum dependent distribution and fragmentation functions
- Transverse-momentum-dependent parton distributions up to NLL from Drell-Yan data
- Non-perturbative structure of semi-inclusive deep-inelastic and Drell-Yan scattering at small transverse momentum
- Spin densities in the transverse plane and generalized transversity distributions
- Understanding the large-distance behavior of transverse-momentum-dependent parton densities and the Collins-Soper evolution kernel
- Next-to-leading Order Evolution of Transversity Distributions and Soffer's Inequality
- Collins-Soper Kernel for TMD Evolution from Lattice QCD
- Lattice-QCD Calculations of TMD Soft Function Through Large-Momentum Effective Theory
- ManeParse: a Mathematica reader for Parton Distribution Functions
- Determination of the Collins-Soper Kernel from Lattice QCD
- On positivity of parton distributions
- Soffer's inequality and the transversely polarized Drell-Yan process at next-to-leading order
- Transverse momentum in double parton scattering: factorisation, evolution and matching
- On the QCD Evolution of the Transversity Distribution
- The evolution of Soffer inequality
- Can parton distributions be negative?
- Positivity bounds on double parton distributions
- 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