"Sixth root of unity" and Feynman diagrams: hypergeometric function approach point of view

Abstract

We briefly discuss the transcendental constants generated through the epsilon-expansion of generalized hypergeometric functions and their interrelation with the "sixth root of unity."

6 pages, presented at "Loops and Legs in Quantum Field Theory 2010", Woerlitz, Germany, April 2010; v2: Eq.(2) is improved

References in corpus (6)

• HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
• The massless higher-loop two-point function
• Gauss hypergeometric function: reduction, epsilon-expansion for integer/half-integer parameters and Feynman diagrams
• Towards all-order Laurent expansion of generalized hypergeometric functions around rational values of parameters
• On the all-order epsilon-expansion of generalized hypergeometric functions with integer values of parameters
• Series and epsilon-expansion of the hypergeometric functions