Abstract
The most important part of the order α s 2 corrections to the charm component of the charged-current structure functions F 2 ( x, Q 2) and F 3 ( x, Q 2) has been calculated. This calculation is based on the asymptotic form of the heavy-quark coefficient functions corresponding to the higher order corrections to the W-boson-gluon fusion process. These coefficient functions, which are in principle only valid for Q 2 ⪢ m 2, can also be used to estimate the order α s 2 contributions at lower Q 2 values provided x < 0.1. It turns out that the above corrections are appreciable in the large Q 2 region and they explain the discrepancy found for the structure functions between the fixed-flavour scheme (FFS) and the variable-flavour-number scheme (VFNS). These corrections also hamper the extraction of the strange-quark density from the data obtained for the charged-current and the electromagnetic-current processes.
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