The three-loop splitting functions \(P_{q g}^{(2)}\) and \(P_{g g}^{(2, \operatorname{N}_{\operatorname{F}})}\)

DOI10.1016/j.nuclphysb.2017.06.004zbMath1373.81370arXiv1705.01508OpenAlexW2611174896MaRDI QIDQ2412767

A. Behring, Jakob Ablinger, Johannes Blümlein, Carsten Schneider, Andreas von Manteuffel, Abilio De Freitas

Publication date: 27 October 2017

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.01508

Mathematics Subject Classification ID

Strong interaction, including quantum chromodynamics (81V05) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Numerical aspects of recurrence relations (65Q30)

Related Items (20)

The two-loop massless off-shell QCD operator matrix elements to finite terms ⋮ The structure of the proton in the LHC precision era ⋮ Analytic computing methods for precision calculations in quantum field theory ⋮ Iterated elliptic and hypergeometric integrals for Feynman diagrams ⋮ The method of arbitrarily large moments to calculate single scale processes in quantum field theory ⋮ The polarized three-loop anomalous dimensions from on-shell massive operator matrix elements ⋮ Beam functions for \(N\)-jettiness at \(\mathrm{N^3LO}\) in perturbative QCD ⋮ The first-order factorizable contributions to the three-loop massive operator matrix elements \(A_{Qg}^{(3)}\) and \(\Delta A_{Qg}^{(3)}\) ⋮ 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 two-mass contribution to the three-loop pure singlet operator matrix element ⋮ Four-loop non-singlet splitting functions in the planar limit and beyond ⋮ The two-mass contribution to the three-loop polarized gluonic operator matrix element \(A_{gg, Q}^{(3)}\) ⋮ The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements ⋮ Lambert-W solves the noncommutative \(\Phi^4\)-model ⋮ Large Scale Analytic Calculations in Quantum Field Theories ⋮ Renormalization of gluonic leading-twist operators in covariant gauges ⋮ Analytic Integration Methods in Quantum Field Theory: An Introduction ⋮ Term Algebras, Canonical Representations and Difference Ring Theory for Symbolic Summation ⋮ The SAGEX review on scattering amplitudes Chapter 4: Multi-loop Feynman integrals

Uses Software

• FORM
• HarmonicSums
• Reduze
• Axodraw
• EvaluateMultiSums
• OreSys

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