8-13 August 2011
Rhode Island Convention Center
US/Eastern timezone

The Epsilon Expansion via Hypergeometric Functions and Differential Reduction

Aug 10, 2011, 3:30 PM
552 A (Rhode Island Convention Center)

552 A

Rhode Island Convention Center

Parallel contribution Electroweak Physics Electroweak Physics


Prof. Scott Yost (The Citadel)


Higher-order diagrams required for radiative corrections to mixed electroweak and QCD processes at the LHC and anticipated future colliders will require numerically stable representations of the associated Feynman diagrams. The hypergeometric representation supplies an analytic framework that is useful for deriving such stable representations. We discuss the reduction of Feynman diagrams to master integrals, and compare integration-by-parts methods to differential reduction of hypergeometric functions. We describe the problem of constructing higher-order terms in the epsilon expansion, and characterize the functions generated in such expansions.

Primary author

Prof. Scott Yost (The Citadel)


Dr Mikhail Kalmykov (II Inst. Theoretical Phys., U. Hamburg)

Presentation materials