Computation of form factors in massless QCD with finite master integrals

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 ε expansions and thereby reproduce all known results with an independent method. Remarkably, in our finite b...

Cur síos iomlán

Sonraí bibleagrafaíochta
Príomhchruthaitheoirí: von Manteuffel, A, Panzer, E, Schabinger, R
Formáid: Journal article
Foilsithe / Cruthaithe: American Physical Society 2016
Cur síos
Achoimre: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 ε 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.