The three-loop single mass polarized pure singlet operator matrix element

DOI10.1016/j.nuclphysb.2020.114945zbMath1473.81177arXiv1912.02536OpenAlexW2991938248MaRDI QIDQ2230210

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

Publication date: 17 September 2021

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

Full work available at URL: https://arxiv.org/abs/1912.02536

Mathematics Subject Classification ID

Feynman diagrams (81T18) Inelastic and multichannel quantum scattering (81U35) Operator matrices (47A08)

Related Items (11)

The two-loop massless off-shell QCD operator matrix elements to finite terms ⋮ 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 inverse Mellin transform via analytic continuation ⋮ The two-mass contribution to the three-loop polarized gluonic operator matrix element \(A_{gg, Q}^{(3)}\) ⋮ The polarized transition matrix element \(A_{gq}(N)\) of the variable flavor number scheme at \(O(\alpha_s^3)\) ⋮ Collider physics at the precision frontier ⋮ The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements ⋮ Renormalization of gluonic leading-twist operators in covariant gauges ⋮ The SAGEX review on scattering amplitudes Chapter 4: Multi-loop Feynman integrals

Uses Software

• FORM
• HarmonicSums
• Reduze
• Axodraw
• EvaluateMultiSums

Cites Work

• \texttt{Reduze} -- Feynman integral reduction in \texttt{C++}
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• The \(O(\alpha_s^3)\) massive operator matrix elements of \(O(n_f)\) for the structure function \(F_{2}(x,Q^{2})\) and transversity
• The two-mass contribution to the three-loop gluonic operator matrix element \(A_{g g, Q}^{(3)}\)
• The \(O(\alpha_s^3 T_F^2)\) contributions to the gluonic operator matrix element
• The three-loop splitting functions in QCD: the helicity-dependent case
• The 3-loop pure singlet heavy flavor contributions to the structure function \(F_2(x, Q^2)\) and the anomalous dimension
• Mellin moments of the \(O(\alpha_s^3)\) heavy flavor contributions to unpolarized deep-inelastic scattering at \(Q^{2}\gg m^{2}\) and anomalous dimensions
• Axodraw.
• Introduction to the GiNaC framework for symbolic computation within the \(\text{C}^{++}\) programming language
• The two-mass contribution to the three-loop pure singlet operator matrix element
• Automatic Feynman graph generation
• The polarized three-loop anomalous dimensions from on-shell massive operator matrix elements
• Three loop massive operator matrix elements and asymptotic Wilson coefficients with two different masses
• The transition matrix element \(A_{gq}(N)\) of the variable flavor number scheme at \(O({\alpha}_s^3)\)
• Harmonic sums and polylogarithms generated by cyclotomic polynomials
• Iterated binomial sums and their associated iterated integrals
• Discovering and Proving Infinite Binomial Sums Identities
• HARMONIC SUMS, MELLIN TRANSFORMS AND INTEGRALS
• HARMONIC POLYLOGARITHMS
• Analytic computing methods for precision calculations in quantum field theory
• Simplifying Multiple Sums in Difference Fields
• Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms
• MATAD: A program package for the computation of MAssive TADpoles

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