6533b860fe1ef96bd12c3135
RESEARCH PRODUCT
Computation of form factors in massless QCD with finite master integrals
Andreas Von ManteuffelRobert M. SchabingerErik Panzersubject
High Energy Physics - TheoryQuantum chromodynamicsPhysicsBasis (linear algebra)010308 nuclear & particles physicsComputationForm factor (quantum field theory)PropagatorFOS: Physical sciences01 natural sciencesMassless particleHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)0103 physical sciences010306 general physicsLinear combinationSymbolic integrationMathematical physicsdescription
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 $\epsilon$ 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-06-10 |