The 3-loop non-singlet heavy flavor contributions to the structure function \(g_1(x, Q^2)\) at large momentum transfer
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Publication:906718
DOI10.1016/j.nuclphysb.2015.06.007zbMath1329.81362arXiv1504.08217OpenAlexW2096203889MaRDI QIDQ906718
Carsten Schneider, Andreas von Manteuffel, A. Behring, Johannes Blümlein, Abilio De Freitas
Publication date: 22 January 2016
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.08217
Strong interaction, including quantum chromodynamics (81V05) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18)
Related Items (14)
The complete \(O(\alpha_s^2)\) non-singlet heavy flavor corrections to the structure functions \(g_{1, 2}^{e p}(x, Q^2)\), \(F_{1, 2, L}^{e p}(x, Q^2)\), \(F_{1, 2, 3}^{\nu(\overline{\nu})}(x, Q^2)\) and the associated sum rules ⋮ The two-loop massless off-shell QCD operator matrix elements to finite terms ⋮ Three loop massive operator matrix elements and asymptotic Wilson coefficients with two different masses ⋮ The polarized two-loop massive pure singlet Wilson coefficient for deep-inelastic scattering ⋮ 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 ⋮ 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 three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements ⋮ 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
Cites Work
- Computer algebra in quantum field theory. Integration, summation and special functions
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- QCD analysis of polarized deep inelastic scattering data
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- 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 three-loop splitting functions in QCD: the helicity-dependent case
- Third-order QCD corrections to the charged-current structure function \(F_{3}\)
- 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
- Structural Relations of Harmonic Sums and Mellin Transforms at Weight w=6
- HARMONIC POLYLOGARITHMS
- Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms
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