Abstract
We calculate the O ( α 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 ≫ m 2 . The calculation has been performed using light-cone expansion techniques. We confirm an earlier result obtained in [M. Buza, Y. Matiounine, J. Smith, R. Migneron, W.L. van Neerven, Nucl. Phys. B 472 (1996) 611, hep-ph/9601302]. 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 ( α s 2 ) and for F L ( x , Q 2 ) to O ( α s 3 ) for all but the power suppressed terms ∝ ( m 2 / Q 2 ) k , k ⩾ 1 .
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