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.
arXiv comment31 page, 5 figures, structural update, version to be published in JHEP
References in corpus (30)
- An effective field theory for collinear and soft gluons: heavy to light decays
- Soft-Collinear Factorization in Effective Field Theory
- A Formalism for the Systematic Treatment of Rapidity Logarithms in Quantum Field Theory
- Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
- Universality of soft and collinear factors in hard-scattering factorization
- The Zero-Bin and Mode Factorization in Quantum Field Theory
- Factorization Theorem For Drell-Yan At Low q_T And Transverse-Momentum Distributions On-The-Light-Cone
- Bootstrapping rapidity anomalous dimension for transverse-momentum resummation
- Unpolarized Transverse Momentum Dependent Parton Distribution and Fragmentation Functions at next-to-next-to-leading order
- Elements of a theory for multiparton interactions in QCD
- Soft and Collinear Factorization and Transverse Momentum Dependent Parton Distribution Functions
- Double parton interactions in photon+3 jet events in ppbar collisions sqrt{s}=1.96 TeV
- Calculation of the transverse parton distribution functions at next-to-next-to-leading order
- 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
- The Universal Transverse Momentum Dependent Soft Function at NNLO
- Same-sign W pair production as a probe of double parton scattering at the LHC
- A QCD Analysis of Double Parton Scattering: Color Correlations, Interference Effects and Evolution
- Double parton distributions in the leading logarithm approximation of perturbative QCD
- Rapidity renormalized TMD soft and beam functions at two loops
- Cancellation of Glauber gluon exchange in the double Drell-Yan process
- Single Perturbative Splitting Diagrams in Double Parton Scattering
- What is Double Parton Scattering?
- Introduction to Soft-Collinear Effective Theory
- The Transverse Momentum Dependent Fragmentation Function at NNLO
- A double parton scattering background to Higgs boson production at the LHC
- Angular correlations in the double Drell-Yan process
- Double parton interactions as a background to associated HW production at the Tevatron
- Generating function for web diagrams
Cited by in corpus (12)
- Soft-/rapidity- anomalous dimensions correspondence
- Systematic analysis of double-scale evolution
- Computing Light-Front Wave Functions Without Light-Front Quantization: A Large-Momentum Effective Theory Approach
- Transverse momentum in double parton scattering: factorisation, evolution and matching
- Factorisation of soft gluons in multiparton scattering
- Structure of rapidity divergences in soft factors
- Probing impact-parameter dependent nuclear parton densities from double parton scatterings in heavy-ion collisions
- Two-loop splitting in double parton distributions: the colour non-singlet case
- Double parton distributions out of bounds in colour space
- Nucleon tomography. What can we do better today than Rutherford 100 years ago?
- Revisiting the time-ordering issue of TMD soft factors: causality, coordinate space analyticity and new equalities
- Boomerang webs up to three-loop order