The method of arbitrarily large moments to calculate single scale processes in quantum field theory
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Publication:2410160
DOI10.1016/j.physletb.2017.05.001zbMath1372.81146arXiv1701.04614OpenAlexW2578501380MaRDI QIDQ2410160
Carsten Schneider, Johannes Blümlein
Publication date: 17 October 2017
Published in: Physics Letters. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.04614
Related Items (17)
The two-loop massless off-shell QCD operator matrix elements to finite terms ⋮ Analytic computing methods for precision calculations in quantum field theory ⋮ 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 ⋮ The heavy fermion contributions to the massive three loop form factors ⋮ From momentum expansions to post-Minkowskian Hamiltonians by computer algebra algorithms ⋮ 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 \(g_1\) ⋮ The two-mass contribution to the three-loop pure singlet operator matrix element ⋮ The three-loop polarized pure singlet operator matrix element with two different masses ⋮ The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements ⋮ Large Scale Analytic Calculations in Quantum Field Theories ⋮ The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements ⋮ 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
Cites Work
- Calculating three loop ladder and \(V\)-topologies for massive operator matrix elements by computer algebra
- Computer algebra in quantum field theory. Integration, summation and special functions
- A symbolic summation approach to Feynman integral calculus
- Parameterized telescoping proves algebraic independence of sums
- Determining the closed forms of the anomalous dimensions and Wilson coefficients from Mellin moments by means of computer algebra
- The \(O(\alpha_s^3 T_F^2)\) contributions to the gluonic operator matrix element
- Degree bounds to find polynomial solutions of parameterized linear difference equations in \(\Pi\Sigma\)-fields
- The third-order QCD corrections to deep-inelastic scattering by photon exchange
- 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
- Computer algebra and polynomials. Applications of algebra and number theory
- The three-loop splitting functions \(P_{q g}^{(2)}\) and \(P_{g g}^{(2, \operatorname{N}_{\operatorname{F}})}\)
- Iterated binomial sums and their associated iterated integrals
- SIMPLIFYING SUMS IN ΠΣ*-EXTENSIONS
- Summation in Finite Terms
- HARMONIC POLYLOGARITHMS
- MATAD: A program package for the computation of MAssive TADpoles
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