From moments to functions in higher order QCD
Presented by Johannes BLUEMLEIN on 3 Nov 2008 from 14:25 to 14:50
Type: Parallel Talk
Track: 3. Computation in Theoretical Physics
We present a method to unfold the complete functional dependence of single-scale quantities as QCD splitting functions and Wilson coefficients from a finite number of moments. These quantities obey recursion relations which can be found in an automated way. The exact functional form is obtained solving the corresponding difference equations. We apply the algorithm to the QCD Wilson coefficients for deep-inelastic scattering and splitting functions to 3-loop order which are associated with difference equations of rather high order and degree.