Abstract: We present an overview of recent progress in the development of differential reduction algorithms for hypergeometric function representation higher order Feynman diagrams with an eye toward their use in precision theory predictions for LHC/CLIC physics.

Brief Biography of the Speaker:
Dr. B.F.L. Ward is Distinguished Professor of Physics at Baylor University in Waco, TX, USA. His main research interests are the development and application of quantum field theory methods for precision high energy physics, especially as such methods relate to the Large Hadron Collider(LHC) at CERN and to the possible ILC/CLIC high energy e+e- colliders at the TeV scale. He has authored over 240 papers on these and related subjects and he has recently introduced a new approach to quantum gravity, resummed quantum gravity, which shows that the Einstein’s theory is calculable when it is expressed in terms of exact, amplitude based resummation theory as he has developed for use in LHC physics in QCD, for example. He is an Editor for Research Letters in Physics and he is Co-Editor-in-Chief of The Open Nuclear and Particle Physics Journal. He is a Fellow in the American Physical Society.