Recent progress on the calculation of three-loop heavy flavor Wilson coefficients in deep-inelastic scattering
arXiv:1407.3638
Abstract
We report on our latest results in the calculation of the three-loop heavy flavor contributions to the Wilson coefficients in deep-inelastic scattering in the asymptotic region . We discuss the different methods used to compute the required operator matrix elements and the corresponding Feynman integrals. These methods very recently allowed us to obtain a series of new operator matrix elements and Wilson coefficients like the flavor non-singlet and pure singlet Wilson coefficients.
arXiv comment11 pages Latex, 2 Figures, Proc. of Loops and Legs in Quantum Field Theory, April 2014, Weimar, Germany
References in corpus (29)
- Parton distributions with QED corrections
- The CT10 NNLO Global Analysis of QCD
- Reduze - Feynman Integral Reduction in C++
- Harmonic Sums and Mellin Transforms up to two-loop Order
- Reduze 2 - Distributed Feynman Integral Reduction
- The ABM parton distributions tuned to LHC data
- Mellin Moments of the {)} Heavy Flavor Contributions to unpolarized Deep-Inelastic Scattering at and Anomalous Dimensions
- Electron Ion Collider: The Next QCD Frontier - Understanding the glue that binds us all
- Delineating parton distributions and the strong coupling
- A Computer Algebra Toolbox for Harmonic Sums Related to Particle Physics
- A Refined Difference Field Theory for Symbolic Summation
- The 3-Loop Non-Singlet Heavy Flavor Contributions and Anomalous Dimensions for the Structure Function and Transversity
- Computer Algebra Algorithms for Special Functions in Particle Physics
- The Gluonic Operator Matrix Elements at O(α_s^2) for DIS Heavy Flavor Production
- Two--Loop Massive Operator Matrix Elements for Unpolarized Heavy Flavor Production to $O(ε)
- The Transition Matrix Element A_{gq}(N) of the Variable Flavor Number Scheme at O(α_s^3)
- Modern Summation Methods for Loop Integrals in Quantum Field Theory: The Packages Sigma, EvaluateMultiSums and SumProduction
- Calculating Massive 3-loop Graphs for Operator Matrix Elements by the Method of Hyperlogarithms
- Massive 3-loop Ladder Diagrams for Quarkonic Local Operator Matrix Elements
- The Heavy Quark Corrections to Charged Current Deep-Inelastic Scattering at large Virtualities
- The O(α_s^3 T_F^2) Contributions to the Gluonic Operator Matrix Element
- Evaluation of Multi-Sums for Large Scale Problems
- The effect on PDFs and due to changes in flavour scheme and higher twist contributions
- 3-Loop Heavy Flavor Corrections to DIS with two Massive Fermion Lines
- Parameterized Telescoping Proves Algebraic Independence of Sums
- New Heavy Flavor Contributions to the DIS Structure Function at $O(α_s^3)
- Recent Symbolic Summation Methods to Solve Coupled Systems of Differential and Difference Equations
- New Results on the 3-Loop Heavy Flavor Corrections in Deep-Inelastic Scattering
- 3-Loop Heavy Flavor Corrections in Deep-Inelastic Scattering with Two Heavy Quark Lines