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On the next-to-next-to-leading order QCD corrections to heavy-quark production in deep-inelastic scattering

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arxiv 1205.5727 v2 pith:JTG2O3TD submitted 2012-05-25 hep-ph

classification hep-ph
keywords deep-inelasticfunctionsnext-to-next-to-leadingnnloonlyorderresultsscattering
verification ladder T0 review T1 audit T2 compute T3 formal

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The contribution of quarks with masses m >> Lambda_QCD is the only part of the structure functions in deep-inelastic scattering (DIS) which is not yet known at the next-to-next-to-leading order (NNLO) of perturbative QCD. We present improved partial NNLO results for the most important structure function F_2(x,Q^2) near the partonic threshold, in the high-energy (small-x) limit and at high scales Q^2 >> m^2; and employ these results to construct approximations for the gluon and quark coefficient functions which cover the full kinematic plane. The approximation uncertainties are carefully investigated, and found to be large only at very small values, x smaller about 10^-3, of the Bjorken variable.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Implementation of DIS at N$^3$LO for PDF determination

    hep-ph 2026-06 unverdicted novelty 6.0 of 10

    N³LO DIS implementation in VFNS with improved massive neutral-current coefficient approximation for PDF fits.

  2. Soft corrections to inclusive DIS at four loops and beyond

    hep-ph 2019-08 conditional novelty 6.0 of 10

    The fourth-order (N4LL) soft-gluon exponentiation coefficient for inclusive DIS is derived in the large-nc limit and is shown to give corrections below one percent.

  3. Heavy-quark pair-production in DIS at NLO QCD matched to a parton shower

    hep-ph 2026-06 unverdicted novelty 4.0 of 10

    NLO QCD heavy-quark pair production in DIS matched to parton shower in POWHEG, gluon-initiated channel only, with virtual correction validation via massification.

  4. Global analyses of helicity-dependent parton distribution functions

    hep-ph 2026-07 accept novelty 2.0 of 10

    Modern global QCD analyses agree that up-quark helicity is positive and down-quark helicity negative, with positive gluon polarisation at moderate x, while the full gluon spin moment remains limited by the unmeasured ...

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