4.7 Article

Computation of form factors in massless QCD with finite master integrals

Journal

PHYSICAL REVIEW D
Volume 93, Issue 12, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.93.125014

Keywords

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Funding

  1. European Research Council [647356]
  2. ERC via the CNRS at the IHES [257638]
  3. Humboldt-Universitat zu Berlin
  4. European Research Council (ERC) [647356] Funding Source: European Research Council (ERC)

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We present the bare one-, two-, and three-loop form factors in massless quantum chromodynamics as linear combinations of finite master integrals. Using symbolic integration, we compute their. expansions and thereby reproduce all known results with an independent method. Remarkably, in our finite basis, only integrals with a less-than-maximal number of propagators contribute to the cusp anomalous dimensions. We report on indications of this phenomenon at four loops, including the result for a finite, irreducible, twelve-propagator form factor integral. Together with this article, we provide our automated software setup for the computation of finite master integrals.

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