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2016

Soft factors for double parton scattering at NNLO

Vladimirov, Alexey

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We show at NNLO that the soft factors for double parton scattering (DPS) for both integrated and unintegrated kinematics, can be presented entirely in the terms of the soft factor for single Drell-Yan process, i.e.

the transverse momentum dependent (TMD) soft factor.
Using the linearity of the logarithm of TMD soft factor in rapidity divergences, we decompose the DPS soft factor matrices into a product of matrices with rapidity divergences in given sectors, and thus, define individual double parton distributions at NNLO.
The rapidity anomalous dimension matrices for double parton distributions are presented in the terms of TMD rapidity anomalous dimension.

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