The Gluonic Operator Matrix Elements at O ( α 2 s ) for DIS Heavy Flavor Production

Gluonic Massive Operator Matrix Elements

The O(αsnfT 2 FCA,F ) terms to the massive gluonic operator matrix elements are calculated for general values of the Mellin variable N using a new summation technique. These twist-2 matrix elements occur as transition functions in the variable flavor number scheme at NNLO. The calculation uses sum-representations in generalized hypergeometric series turning into harmonic sums. The analytic cont...

Two–Loop Massive Operator Matrix Elements for Unpolarized Heavy Flavor Production to O(ǫ)

We calculate the O(αs) 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 Q2 ≫ m2, up to the O(ε) contributions. These terms contribute through the renormalization of the O(αs) heavy flavor Wilson coefficients of the structure function F2(x,Q 2). The calculation has been pe...

Heavy Flavor DIS Wilson coefficients in the asymptotic regime

We report on results for the heavy flavor contributions to F2(x,Q ) in the limit Q ≫ m at NNLO. By calculating the massive 3–loop operator matrix elements, we account for all but the power suppressed terms in m/Q. Recently, the calculation of fixed Mellin moments of all 3–loop massive operator matrix elements has been finished. We present new all–N results for the O(nf )–terms, thereby confirmi...

) Heavy Flavor Contributions

In deep-inelastic processes the heavy flavor Wilson coefficients factorize for Q2 ≫ m2 into the light flavor Wilson coefficients of the corresponding process and the massive operator matrix elements (OMEs). We calculate the O(αs) and O(α 3 s) massive OME for the flavor non-singlet transversity distribution. At O(αs) the OME is obtained for general values of the Mellin variable N , while at O(αs...

arXiv:0803.0273 [hep-ph] Two–Loop Massive Operator Matrix Elements for Unpolarized Heavy Flavor Production to O(ǫ)