Low-energy moments of non-diagonal quark current correlators at four loops

DOI10.1016/j.nuclphysb.2015.07.031zbMath1331.81319arXiv1506.00900OpenAlexW1825432181MaRDI QIDQ5964163

Peter Marquard, Andreas Maier

Publication date: 26 February 2016

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

Full work available at URL: https://arxiv.org/abs/1506.00900

Mathematics Subject Classification ID

Strong interaction, including quantum chromodynamics (81V05) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18)

Related Items (1)

The heavy fermion contributions to the massive three loop form factors

Uses Software

• GiNaC
• FORM
• Axodraw

Cites Work

• Low- and high-energy expansion of heavy-quark correlators at next-to-next-to-leading order
• Moments of heavy-light current correlators up to three loops
• Massless correlators of vector, scalar and tensor currents in position space at orders \(\alpha_s^3\) and \(\alpha_s^4\): explicit analytical results
• Standard and \(\epsilon\)-finite master integrals for the \(\rho\)-parameter
• Heavy quark vacuum polarization function at \({\mathcal O}(\alpha_s^2)\) and \({\mathcal O}(\alpha_s^3)\)
• Automatic Feynman graph generation
• Moments of heavy quark correlators with two masses: Exact mass dependence to three loops
• Reconstruction of heavy quark current correlators at \({\mathcal O}(\alpha_s^3)\)
• Low-energy moments of heavy quark current correlators at four loops
• HIGH-PRECISION CALCULATION OF MULTILOOP FEYNMAN INTEGRALS BY DIFFERENCE EQUATIONS
• GROUP THEORY FACTORS FOR FEYNMAN DIAGRAMS
• Three-loop non-diagonal current correlators in QCD and NLO corrections to single-top-quark production

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