6533b82efe1ef96bd12927c4
RESEARCH PRODUCT
Explicit results for all orders of the epsilon-expansion of certain massive and massless diagrams
Andrei I. Davydychevsubject
High Energy Physics - TheoryPhysicsNuclear and High Energy PhysicsAnalytic continuationFOS: Physical sciencesMassless particleHigh Energy Physics - Phenomenologysymbols.namesakeHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)Quantum electrodynamicssymbolsFeynman diagramMathematical physicsdescription
An arbitrary term of the epsilon-expansion of dimensionally regulated off-shell massless one-loop three-point Feynman diagram is expressed in terms of log-sine integrals related to the polylogarithms. Using magic connection between these diagrams and two-loop massive vacuum diagrams, the epsilon-expansion of the latter is also obtained, for arbitrary values of the masses. The problem of analytic continuation is also discussed.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2000-03-15 |