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Heavy quark coefficient functions at asymptotic values Q² gg m²

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arxiv hep-ph/9601302 v1 pith:4IM5PLOP submitted 1996-01-19 hep-ph

Heavy quark coefficient functions at asymptotic values Q² gg m²

classification hep-ph
keywords coefficientfunctionsheavyalphaasymptoticcalculationsnext-to-leadingorder
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this paper we present the analytic form of the heavy-quark coefficient functions for deep-inelastic lepton-hadron scattering in the kinematical regime $Q^2 \gg m^2$ . Here $Q^2$ and $m^2$ stand for the masses squared of the virtual photon and heavy quark respectively. The calculations have been performed up to next-to-leading order in the strong coupling constant $\alpha_s$ using operator product expansion techniques. Apart from a check on earlier calculations, which however are only accessible via large computer programs, the asymptotic forms of the coefficient functions are useful for charm production at HERA when the condition $Q^2 \gg m_c^2$ is satisfied. Furthermore the analytical expressions can also be used when one applies the variable heavy flavour scheme up to next-to-leading order in $\alpha_s$.

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