The three-loop single-mass heavy-flavor corrections to the structure functions F₂(x,Q²) and g₁(x,Q²)

2025/09/19 by Ablinger, J., Behring, A., Blümlein, J. +4 · 2 citations
#FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.2509.16124

Abstract

We report quantitative results on the single-mass heavy-flavor contributions up to three-loop order to the unpolarized structure function F₂(x,Q²) and the polarized structure function g₁(x,Q²) for the first time. These results are relevant for precision QCD analyses of the World deep-inelastic data and the data taken at future colliders, such as the Electron--Ion Collider, in order to measure the strong coupling constant α_s(M_Z²), and the twist-2 parton distribution functions consistently at next-to-next-to-leading order.

Citations

• The Single-Mass Variable Flavor Number Scheme at Three-Loop Order
• Snowmass 2021 White Paper: Electron Ion Collider for High Energy Physics
• FORM version 4.2
• Iterated elliptic and hypergeometric integrals for Feynman diagrams
• High precision fundamental constants at the TeV scale
• Gluons and the quark sea at high energies: distributions, polarization, tomography

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• DGLAP evolution at N³LO with the Candia algorithm
• HOPPET v2 release note

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