English

Analytic Results for Massless Three-Loop Form Factors

High Energy Physics - Phenomenology 2015-03-13 v2

Abstract

We evaluate, exactly in d, the master integrals contributing to massless three-loop 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 ep-expansion of the two most complicated master integrals and present the form factors in a completely analytic form.

Keywords

Cite

@article{arxiv.1001.2887,
  title  = {Analytic Results for Massless Three-Loop Form Factors},
  author = {R. N. Lee and A. V. Smirnov and V. A. Smirnov},
  journal= {arXiv preprint arXiv:1001.2887},
  year   = {2015}
}

Comments

minor revisions, to appear in JHEP

R2 v1 2026-06-21T14:35:45.061Z