Analytic results for massless three-loop form factors
By Roman N. Lee, Alexander V. Smirnov, Vladimir A. Smirnov. 2010
155 citations recorded by the source corpus.
We evaluate, exactly in d, the master integrals contributing to massless threeloop QCD form factors. The calculation is based on a combination of a method recently suggested by one of the authors (R.L.) with other techniques: sector decomposition implemented in FIESTA, the method of Mellin-Barnes representation, and the PSLQ algorithm. Using our results for the master integrals we obtain analytical expressions for two missing constants in the ϵ-expansion of the two most complicated master integrals and present the form factors in a completely analytic form.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/fc66665e3bed92c625f935d19652f46f1f30b5ab
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Nuclear and High Energy Physics
- Bernhard Mistlberger
- Claude Duhr
- Gudrun Heinrich
- Erik Panzer
- Thomas Gehrmann
- Falko Dulat
- E. Glover
- C. Studerus
Citations in the corpus
- Soft triple-real radiation for Higgs production at N3LO (2013, background): “The corresponding one-loop, two-loop and three-loop amplitudes are already known in the literature as a Laurent expansion in ǫ [99–109].”
- FIRE5: A C++ implementation of Feynman Integral REduction (2014, background): “It was successfully applied in [12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26] as well as in several pending projects.”
- A quasi-finite basis for multi-loop Feynman integrals (2014, background): “For example, the well-studied [24–26], nine-line, planar master integral for the three-loop form factor in massless QCD (A9,1 in the notation of reference [25]) will quickly consume more than 30 gigabytes of random-access memory if one attempts a singularity resolution of the integral along the line”
- Calculation of the quark and gluon form factors to three loops in QCD (2010, methodology): “We reproduce thirteen significant digits of the analytic result of [57] in the case of A9,2, and fourteen in the case of A9,4.”