The transition matrix element \(A_{gq}(N)\) of the variable flavor number scheme at \(O({\alpha}_s^3)\)

DOI10.1016/j.nuclphysb.2014.02.007zbMath1285.81065arXiv1402.0359OpenAlexW1610487202MaRDI QIDQ2447202

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

Publication date: 24 April 2014

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

Full work available at URL: https://arxiv.org/abs/1402.0359

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)

Related Items (26)

The two-loop massless off-shell QCD operator matrix elements to finite terms ⋮ Calculating three loop ladder and \(V\)-topologies for massive operator matrix elements by computer algebra ⋮ Three loop massive operator matrix elements and asymptotic Wilson coefficients with two different masses ⋮ Iterated binomial sums and their associated iterated integrals ⋮ Iterated elliptic and hypergeometric integrals for Feynman diagrams ⋮ The three-loop splitting functions \(P_{q g}^{(2)}\) and \(P_{g g}^{(2, \operatorname{N}_{\operatorname{F}})}\) ⋮ 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 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 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 pure singlet operator matrix element ⋮ 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 \(O(\alpha_s^3)\) ⋮ A difference ring theory for symbolic summation ⋮ The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements ⋮ The two-mass contribution to the three-loop gluonic operator matrix element \(A_{g g, Q}^{(3)}\) ⋮ The unpolarized two-loop massive pure singlet Wilson coefficients for deep-inelastic scattering ⋮ The \(O(\alpha_s^3 T_F^2)\) contributions to the gluonic operator matrix element ⋮ Extensions of the AZ-Algorithm and the Package MultiIntegrate ⋮ 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

• Fermat
• MATAD
• Axodraw

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