"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

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Cited by in corpus (11)

• Harmonic Sums and Polylogarithms Generated by Cyclotomic Polynomials
• Automated Solution of First Order Factorizable Systems of Differential Equations in One Variable
• Analytic results for planar three-loop four-point integrals from a Knizhnik-Zamolodchikov equation
• Multi-loop techniques for massless Feynman diagram calculations
• Evaluating `elliptic' master integrals at special kinematic values: using differential equations and their solutions via expansions near singular points
• Two-loop diagrams in non-relativistic QCD with elliptics
• Analytic results for planar three-loop integrals for massive form factors
• Three-loop massive tadpoles and polylogarithms through weight six
• HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalizedhypergeometric functions: Fc hypergeometric function of three variables
• On Epsilon Expansions of Four-loop Non-planar Massless Propagator Diagrams
• Three loop QCD corrections to heavy quark form factors