4.4 Article

Planar master integrals for four-loop form factors

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 5, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP05(2019)073

Keywords

Perturbative QCD; 1; N Expansion

Funding

  1. DJEI/DES/SFI/HEA Irish Centre for High-End Computing (ICHEC)
  2. Science Foundation Ireland
  3. TCHPC (Research IT, Trinity College Dublin)
  4. PRISMA excellence cluster
  5. National Science Foundation [1719863]
  6. European Research Council [647356]
  7. European Research Council (ERC) [647356] Funding Source: European Research Council (ERC)

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We present the complete set of planar master integrals relevant to the calculation of three-point functions in four-loop massless Quantum Chromodynamics. Employing direct parametric integrations for a basis of finite integrals, we give analytic results for the Laurent expansion of conventional integrals in the parameter of dimensional regularization through to terms of weight eight.

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