Analytic results for massless three-loop form factors

作者:Lee R N*; Smirnov A V; Smirnov V A
来源:The Journal of High Energy Physics, 2010, 2010(4): 020.
DOI:10.1007/JHEP04(2010)020

摘要

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 epsilon-expansion of the two most complicated master integrals and present the form factors in a completely analytic form.

  • 出版日期2010-4