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Two-Loop QCD Corrections to the Heavy Quark Form Factors: Axial Vector Contributions

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arxiv hep-ph/0412259 v1 pith:5CLOCLVA submitted 2004-12-17 hep-ph

classification hep-ph
keywords factorsformcontributionstwo-loopvertexanalyticarbitraryaxial
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We consider the Z Q Qbar vertex to second order in the QCD coupling for an on-shell massive quark-antiquark pair and for arbitrary momentum transfer of the Z boson. We present closed analytic expressions for the two parity-violating form factors of that vertex at the two-loop level in QCD, excluding the contributions from triangle diagrams. These form factors are expressed in terms of 1-dimensional harmonic polylogarithms of maximum weight 4.

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  1. Three loop master integrals for ${\mathcal{O}} (\alpha \alpha_s^2)$ corrections to quark form factor

    hep-ph 2025-06 conditional novelty 6.0 of 10

    The authors derive analytic expressions for all 303 three-loop master integrals with one massive propagator appearing in the mixed QCD-electroweak corrections to the quark form factor, expressed through generalized po...

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