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The Asymptotic 3-Loop Heavy Flavor Corrections to the Charged Current Structure Functions $F_L^{W^+-W^-}(x,Q^2)$ and $F_2^{W^+-W^-}(x,Q^2)$

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arxiv 1609.06255 v1 pith:22I2UKWM submitted 2016-09-20 hep-ph hep-ex

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

We calculate the massive Wilson coefficients for the heavy flavor contributions to the non-singlet charged current deep-inelastic scattering structure functions $F_L^{W^+}(x,Q^2)-F_L^{W^-}(x,Q^2)$ and $F_2^{W^+}(x,Q^2)-F_2^{W^-}(x,Q^2)$ in the asymptotic region $Q^2 \gg m^2$ to 3-loop order in Quantum Chromodynamics (QCD) at general values of the Mellin variable $N$ and the momentum fraction $x$. Besides the heavy quark pair production, also the single heavy flavor excitation $s \rightarrow c$ contributes. Numerical results are presented for the charm quark contributions and consequences on the unpolarized Bjorken sum rule and Adler sum rule are discussed.

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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. Analytic results for heavy-quark contributions to charged-current DIS at NNLO

    hep-ph 2026-06 conditional novelty 7.0 of 10

    Analytic NNLO partonic coefficient functions for F2, FL, F3 in charged-current DIS with exact charm mass, expressed via Goncharov polylogarithms and Chen iterated integrals.

  2. 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...

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