Two-Loop Massive Operator Matrix Elements and Unpolarized Heavy Flavor Production at Asymptotic Values Q^2 >> m^2

Abstract

We calculate the $O({\alpha }_s^2)$ massive operator matrix elements for the twist--2 operators, which contribute to the heavy flavor Wilson coefficients in unpolarized deeply inelastic scattering in the region $Q^2\gg m^2$. The calculation has been performed using light--cone expansion techniques. We confirm an earlier result obtained in \cite{Buza:1995ie}. The calculation is carried out without using the integration-by-parts method and in Mellin space using harmonic sums, which lead to a significant compactification of the analytic results derived previously. The results allow to determine the heavy flavor Wilson coefficients for $F_2(x,Q^2)$ to $O({\alpha }_s^2)$ and for $F_L(x,Q^2)$ to $O({\alpha }_s^3)$ for all but the power suppressed terms $\propto (m^2/Q^2{)}^k,k\ge 1$.

1 style file, 5 figures, 38 pages latex

References in corpus (1)

• Calculation of Massive 2-Loop Operator Matrix Elements with Outer Gluon Lines

Cited by in corpus (5)

• Two--Loop Massive Operator Matrix Elements for Unpolarized Heavy Flavor Production to $O(ε)
• Higher Twist Contributions to the Structure Functions F_2^p(x,Q^2) and F_2^d(x,Q^2) at Large x and Higher Orders
• Structural Relations between Harmonic Sums up to w=6
• Status of Deeply Inelastic Parton Distributions
• Summary of the Heavy Flavor Working Group