English

Planar master integrals for four-loop form factors

High Energy Physics - Phenomenology 2019-07-22 v2 High Energy Physics - Theory

Abstract

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.

Keywords

Cite

@article{arxiv.1903.06171,
  title  = {Planar master integrals for four-loop form factors},
  author = {Andreas von Manteuffel and Robert M. Schabinger},
  journal= {arXiv preprint arXiv:1903.06171},
  year   = {2019}
}

Comments

15 pages, 2 figures, 1 table; in v2: incorporated referee suggestions in text, all equations and results unchanged. v2 is the version published in JHEP

R2 v1 2026-06-23T08:08:30.347Z