In the single-term splitting function model, complex maps turn DGLAP contour integrals into Laplace transforms whose inverse yields Barnes integrals for the Bessel solution.
Mellin Representation for the Heavy Flavor Contributions to Deep Inelastic Structure Functions
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We derive semi--analytic expressions for the analytic continuation of the Mellin transforms of the heavy flavor QCD coefficient functions for neutral current deep inelastic scattering in leading and next-to-leading order to complex values of the Mellin variable $N$. These representations are used in Mellin--space QCD evolution programs to provide fast evaluations of the heavy flavor contributions to the structure functions $F_2(x,Q^2), F_L(x,Q^2)$ and $g_1(x,Q^2)$.
fields
hep-th 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Analytical solution to DGLAP integro-differential equation via complex maps in domains of contour integrals
In the single-term splitting function model, complex maps turn DGLAP contour integrals into Laplace transforms whose inverse yields Barnes integrals for the Bessel solution.