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The Variable Flavor Number Scheme at Next-to-Leading Order

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arxiv 1804.03129 v1 pith:QM67HUWE submitted 2018-04-09 hep-ph hep-ex

classification hep-phhep-ex
keywords effectsflavornext-to-leadingnumberorderschemevariablebeen
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present the matching relations of the variable flavor number scheme at next-to-leading order, which are of importance to define heavy quark partonic distributions for the use at high energy colliders such as Tevatron and the LHC. The consideration of the two-mass effects due to both charm and bottom quarks, having rather similar masses, are important. These effects have not been considered in previous investigations. Numerical results are presented for a wide range of scales. We also present the corresponding contributions to the structure function $F_2(x,Q^2)$.

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Cited by 2 Pith papers

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

  1. The variable flavor number scheme to three-loop order

    hep-ph 2026-07 accept novelty 6.0 of 10

    The variable flavor number scheme is completed to three-loop order with single- and two-mass effects, validated by renormalization-group analysis to match asymptotic heavy-flavor corrections, plus numerical Wilson-coe...

  2. 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.

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