343 citations · 1.3k across the 39 of their papers we have counts for
8 papers · 1 filter
Empirical determinations of Feynman integrals using integer relation algorithms
Kevin Acres, David Broadhurst
Integer relation algorithms can convert numerical results for Feynman integrals to exact evaluations, when one has reason to suspect the existence of reductions to linear combinati…
New Application of the large-Nc expansion : comparison of the Gottfried and Adler sum rules
D. J. Broadhurst, A. L. Kataev, C. J. Maxwell
The Adler sum rule for deep inelastic neutrino scattering measures the isospin of the nucleus, and is hence exact. In contrast the Gottfried sum rule for charged lepton scattering…
Renormalons and multiloop estimates in scalar correlators, Higgs decay and quark-mass sum rules
D. J. Broadhurst, A. L. Kataev, C. J. Maxwell
The single renormalon-chain contribution to the correlator of scalar currents in QCD is calculated in the -scheme in the limit of a large . We find that in the facto…
Four-loop Dyson-Schwinger-Johnson anatomy
D. J. Broadhurst
Dyson-Schwinger equations are used to evaluate the 4-loop anomalous dimensions of quenched QED in terms of finite, scheme-independent, 3-loop integrals. Three of the results serve…
Unknotting the polarized vacuum of quenched QED
D. J. Broadhurst, R. Delbourgo, D. Kreimer
A knot-theoretic explanation is given for the rationality of the quenched QED beta function. At the link level, the Ward identity entails cancellation of subdivergences generated b…
Two-Loop Gluon-Condensate Contributions To Heavy-Quark Current Correlators: Exact Results And Approximations
D. J. Broadhurst, P. A. Baikov, V. A. Ilyin +3
The coefficient functions of the gluon condensate , in the correlators of heavy-quark vector, axial, scalar and pseudoscalar currents, are obtained analytically, to two loop…