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The 3-Loop Non-Singlet Heavy Flavor Contributions to the Structure Function g₁(x,Q²) at Large Momentum Transfer

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arxiv 1504.08217 v1 pith:JKM3CRUL submitted 2015-04-30 hep-ph hep-ex

The 3-Loop Non-Singlet Heavy Flavor Contributions to the Structure Function g₁(x,Q²) at Large Momentum Transfer

classification hep-ph hep-ex
keywords flavorfunctionheavystructurecontributionsloopmomentumnon-singlet
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We calculate the massive flavor non-singlet Wilson coefficient for the heavy flavor contributions to the polarized structure function $g_1(x,Q^2)$ in the asymptotic region $Q^2 \gg m^2$ to 3-loop order in Quantum Chromodynamics at general values of the Mellin variable $N$ and the momentum fraction $x$, and derive heavy flavor corrections to the Bjorken sum-rule. Numerical results are presented for the charm quark contribution. Results on the structure function $g_2(x,Q^2)$ in the twist-2 approximation are also given.

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Cited by 2 Pith papers

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    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

    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...