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Heavy quarks in deep-inelastic scattering

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arxiv 1001.2312 v2 pith:H4Q6BDLP submitted 2010-01-13 hep-ph

Stefano Forte , Eric Laenen , Paolo Nason , Juan Rojo This is my paper
classification hep-ph
keywords heavyfunctionsquarkstructuredeep-inelasticdiscussexpressionsframework
verification ladder T0 review T1 audit T2 compute T3 formal
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We discuss a general framework for the inclusion of heavy quark mass contributions to deep-inelastic structure functions and their perturbative matching to structure functions computed in variable-mass schemes. Our approach is based on the so-called FONLL method, previously introduced and applied to heavy quark hadroproduction and photoproduction. We define our framework, provide expressions up to second order in the strong coupling, and use them to construct matched expressions for structure functions up to NNLO. After checking explicitly the consistency of our results, we perform a study of the phenomenological impact of heavy quark terms, and compare results obtained at various perturbative orders, and with various prescriptions for the treatment of subleading terms, specifically those related to threshold behaviour. We also consider the heavy quark structure function F2c and discuss issues related to the presence of mass singularities in their coefficient functions.

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