Massless Four-Loop Integrals and the Total Cross Section in e+ e− Annihilation

DOI10.1007/978-3-540-74739-0_3zbMath1390.81681OpenAlexW4229894243MaRDI QIDQ5745243

M. Tentyukov, Matthias Steinhauser, Johann H. Kühn

Publication date: 5 June 2018

Published in: High Performance Computing in Science and Engineering `07 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-74739-0_3

Mathematics Subject Classification ID

Other elementary particle theory in quantum theory (81V25) Computational methods for problems pertaining to quantum theory (81-08) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30)

Uses Software

• FORM
• rhad
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Cites Work

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• Renormalization in quantum field theory and the Riemann-Hilbert problem
• Five-loop vacuum polarization in pQCD: \(O(m_q^2 \alpha_s^4 n_f^2)\) contribution
• HIGH-PRECISION CALCULATION OF MULTILOOP FEYNMAN INTEGRALS BY DIFFERENCE EQUATIONS
• Criterion of irreducibility of multi-loop Feynman integrals.
• Composite operators in lattice QCD: nonperturbative renormalization

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