Abstract
An essential part of any factorisation proof is the demonstration that the exchange of Glauber gluons cancels for the considered observable. We show this cancellation at all orders for double Drell-Yan production (the double parton scattering process in which a pair of electroweak gauge bosons is produced) both for the integrated cross section and for the cross section differential in the transverse boson momenta. In the process of constructing this proof, we also revisit and clarify some issues regarding the Glauber cancellation argument and its relation to the rest of the factorisation proof for the single Drell-Yan process.
Highlights
As the LHC continues to run after its energy upgrade, hopes are high that signals for physics beyond the Standard Model will show up in the coming years
Using light-front ordered version of QCD perturbation theory (LCPT) we show that, whilst individual cut graphs in GR may have pinched poles at small l−j, the sum over all cuts GR is free from such pinches, and all poles in l−j that originate from A(lj) are in the lower half plane
LCPT gives the same results as conventional covariant perturbation theory and may be derived from it [8, 80], as we show
Summary
As the LHC continues to run after its energy upgrade, hopes are high that signals for physics beyond the Standard Model will show up in the coming years. Together with model assumptions connecting these multi-parton distributions with their single-parton counterparts, this forms the basis of most phenomenological investigations, see for instance [13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45] To put this framework on a more solid footing, it is necessary to understand whether factorisation holds for multiple hard scattering.
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