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The Polarized Transition Matrix Element $A_{gq}(N)$ of the Variable Flavor Number Scheme at $O(\alpha_s^3)$

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arxiv 2101.05733 v1 pith:HY7KSBTR submitted 2021-01-14 hep-ph hep-th

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

We calculate the polarized massive operator matrix element $A_{gq}^{(3)}(N)$ to 3-loop order in Quantum Chromodynamics analytically at general values of the Mellin variable $N$ both in the single- and double-mass case in the Larin scheme. It is a transition function required in the variable flavor number scheme at $O(\alpha_s^3)$. We also present the results in momentum fraction space.

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Cited by 3 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...

  3. Candia-v2: Logarithmic expansions for DGLAP evolution in $x$-space

    hep-ph 2026-07 conditional novelty 5.0 of 10

    Candia-v2 implements (approximate) N3LO x-space DGLAP evolution — exact four-loop non-singlet splitting functions, envelope-approximated singlet inputs, three-loop heavy-quark matching — as a public C++ package with G...

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