By Ingo Schienbein
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Extra resources for Heavy quark production in CC and NC DIS and the structure of real and virtual photons in NLO QCD
15). We have perturbatively resummed all logarithms of the charm mass via massless evolution equations ˜ 0 = mc ] and using the standard boundary conditions starting at the charm mass [Q0 = Q in Eqs. 06. Finite charm mass effects on the subtracted QS (1) contribution can be inferred by comparing the thick and the thin dotted curves, where the mc → 0 limit has been taken for the latter. As has been theoretically anticipated in  the charm mass can be safely set to zero in QS (1) and the involved convolutions in Eq.
Note that Eq. 5) also poses an implicit constraint on ξ ′ via ′ ′ zmin < zmax . ˆ q for nonzero masses are obtained in exactly the same way as outlined for The H i fully inclusive structure functions in Appendix A if the partonic phase space is not fully integrated over. 3 and the Mandelstam variables read sˆ1 (ξ ′) ≡ (p1 + q)2 − m22 1 − ξ′ [(∆ − Σ+− )ξ ′ + ∆ + Σ+− ] = 2ξ ′ tˆ1 (ξ ′ , z ′ ) ≡ (p1 − p3 )2 − m21 = [ˆ s1 (ξ ′ ) + Σ+− ](z ′ − z0′ ) , sˆ1 + Σ++ is the would–be pole of the tˆ–channel propagator and we use ∆′ ≡ sˆ1 + Σ+− ˆ q , respectively.
The Born term in Fig. 3 is far from being the dominant contribution and an intrinsic c(x, Q2 ) stemming from the resummation of perturbative logs can therefore not be excluded. The tendency of the data appears somewhat softer than any of the calculations and the tendency seems to be confirmed by preliminary data in a lower z bin . 6 if the QS (1) component is included. As already mentioned, at the present stage of the calculations it cannot be decided whether this hints at an intrinsic problem within VFNS calculations or whether this may be cured by O(αs2 ) corrections.