The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements

DOI10.1007/JHEP01(2022)193OpenAlexW3216744198MaRDI QIDQ2087999

Carsten Schneider, Johannes Blümlein, K. Schönwald, Peter Marquard

Publication date: 21 October 2022

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.12401

zbMATH Keywords

renormalization groupperturbative QCD

Mathematics Subject Classification ID

Quantum theory (81-XX)

Related Items (13)

The two-loop massless off-shell QCD operator matrix elements to finite terms ⋮ Refined telescoping algorithms in RΠΣ -extensions to reduce the degrees of the denominators✱ ⋮ Two-loop evolution kernels for colour dependent double parton distributions ⋮ Renormalization of twist-two operators in covariant gauge to three loops in QCD ⋮ The first-order factorizable contributions to the three-loop massive operator matrix elements \(A_{Qg}^{(3)}\) and \(\Delta A_{Qg}^{(3)}\) ⋮ An observation on Feynman diagrams with axial anomalous subgraphs in dimensional regularization with an anticommuting \(\gamma_5\) ⋮ The massless three-loop Wilson coefficients for the deep-inelastic structure functions \(F_2\), \(F_L\), \(xF_3\) and \(g_1\) ⋮ \(O(\alpha_s^2)\) polarized heavy flavor corrections to deep-inelastic scattering at \(Q^2 \gg m^2\) ⋮ The inverse Mellin transform via analytic continuation ⋮ The \(N_f C_F^3\) contribution to the non-singlet splitting function at four-loop order ⋮ Complete \(N_f^2\) contributions to four-loop pure-singlet splitting functions ⋮ The infrared structure of perturbative gauge theories ⋮ The SAGEX review on scattering amplitudes Chapter 4: Multi-loop Feynman integrals

Uses Software

• SageMath
• SIGMA
• FORM
• HarmonicSums
• EvaluateMultiSums

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