The \(O(\alpha_s^3 T_F^2)\) contributions to the gluonic operator matrix element

DOI10.1016/j.nuclphysb.2014.05.028zbMath1323.81126arXiv1405.4259OpenAlexW2396523926MaRDI QIDQ748668

Johannes Blümlein, Carsten Schneider, Alexander Hasselhuhn, Andreas von Manteuffel, Mark Round, Abilio De Freitas, Jakob Ablinger

Publication date: 29 October 2015

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

Full work available at URL: https://arxiv.org/abs/1405.4259

Mathematics Subject Classification ID

Nuclear physics (81V35) Strong interaction, including quantum chromodynamics (81V05) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18) Polylogarithms and relations with (K)-theory (11G55)

Related Items (19)

Three-loop effective potential of general scalar theory via differential equations ⋮ Unitarity methods for Mellin moments of Drell-Yan cross sections ⋮ Calculating three loop ladder and \(V\)-topologies for massive operator matrix elements by computer algebra ⋮ Analytic computing methods for precision calculations in quantum field theory ⋮ Three loop massive operator matrix elements and asymptotic Wilson coefficients with two different masses ⋮ Iterated binomial sums and their associated iterated integrals ⋮ The method of arbitrarily large moments to calculate single scale processes in quantum field theory ⋮ The three-loop splitting functions \(P_{q g}^{(2)}\) and \(P_{g g}^{(2, \operatorname{N}_{\operatorname{F}})}\) ⋮ The 3-loop non-singlet heavy flavor contributions and anomalous dimensions for the structure function \(\mathrm{F}_2(\mathrm{x, Q}^{\mathrm{2}})\) and transversity ⋮ The 3-loop pure singlet heavy flavor contributions to the structure function \(F_2(x, Q^2)\) and the anomalous dimension ⋮ The massless three-loop Wilson coefficients for the deep-inelastic structure functions \(F_2\), \(F_L\), \(xF_3\) and \(g_1\) ⋮ The two-mass contribution to the three-loop pure singlet operator matrix element ⋮ Automated solution of first order factorizable systems of differential equations in one variable ⋮ The three-loop single mass polarized pure singlet operator matrix element ⋮ 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 \(O(\alpha_s^3)\) ⋮ The \(\mathrm{N^3LO}\) scheme-invariant QCD evolution of the non-singlet structure functions \(F_2^{\mathrm{NS}}(x, Q^2)\) and \(g_1^{\mathrm{NS}}(x, Q^2)\) ⋮ The two-mass contribution to the three-loop gluonic operator matrix element \(A_{g g, Q}^{(3)}\) ⋮ The SAGEX review on scattering amplitudes Chapter 4: Multi-loop Feynman integrals

Uses Software

• AMBRE
• Fermat
• MATAD
• HarmonicSums
• Axodraw
• OreSys

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