Soft factors for double parton scattering at NNLO
arXiv:1608.04920 · doi:10.1007/JHEP12(2016)038
Abstract
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. The analysis is done using the generating function approach to web diagrams. Significant part of the result is obtained from the symmetry properties of web diagrams without referring to explicit expressions or a particular rapidity regularization scheme. Additionally, we present NNLO expression for the web diagram generating function for Wilson lines with two light-like directions.
31 page, 5 figures, structural update, version to be published in JHEP
References in corpus (7)
- Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
- The Zero-Bin and Mode Factorization in Quantum Field Theory
- Momentum Flow Correlations from Event Shapes: Factorized Soft Gluons and Soft-Collinear Effective Theory
- Theoretical considerations on multiparton interactions in QCD
- Soft-/rapidity- anomalous dimensions correspondence
- Angular correlations in the double Drell-Yan process
- Generating function for web diagrams