The Logarithmic Contributions to the Polarized and Operator Matrix Elements in Deeply Inelastic Scattering

Understand

We compute the logarithmic contributions to the polarized massive Wilson coefficients for deep-inelastic scattering in the asymptotic region $Q^2 \gg m^2$ to 3-loop order in the fixed-flavor number scheme and present the corresponding expressions for the polarized massive operator matrix elements needed in the variable flavor number scheme.

• The calculation is performed in the Larin scheme.
• For the massive operator matrix elements $A_{qq,Q}^{(3),\rm PS}$ and $A_{qg,Q}^{(3),\rm S}$ the complete results are presented.
• The expressions are given in Mellin-$N$ space and in momentum fraction $z$-space.