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

The Epsilon Expansion via Hypergeometric Functions and Differential Reduction

10 Aug 2011, 15:30
30m
552 A (Rhode Island Convention Center)

552 A

Rhode Island Convention Center

Parallel contribution Electroweak Physics Electroweak Physics

Speaker

Prof. Scott Yost (The Citadel)

Description

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)

Co-author

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

Presentation Materials