7 papers
Operator product expansion in static-quark effective field theory: large perturbative correction
D. J. Broadhurst, A. G. Grozin
We calculate the coefficients of operators with dimensions d <= 7 in the operator product expansion of correlators of q Gamma Q currents, for the effective field theory of an infin…
Two-loop renormalization of the effective field theory of a static quark
D. J. Broadhurst, A. G. Grozin
We give a recurrence relation for two-loop integrals encountered in the effective field theory of an infinitely heavy quark, Q, interacting with gluons and Nl massless quarks, q, f…
Massive 3-loop Feynman diagrams reducible to SC* primitives of algebras of the sixth root of unity
D. J. Broadhurst
In each of the 10 cases with propagators of unit or zero mass, the finite part of the scalar 3-loop tetrahedral vacuum diagram is reduced to 4-letter words in the 7-letter alphabet…
Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops
D. J. Broadhurst, D. Kreimer
It is found that the number, , of irreducible multiple zeta values (MZVs) of weight , is generated by . For , enumerates…
Knots and Numbers in Theory to 7 Loops and Beyond
D. J. Broadhurst, D. Kreimer
We evaluate all the primitive divergences contributing to the 7--loop \/--function of theory, i.e.\ all 59 diagrams that are free of subdivergences and hence give scheme--…
Matching QCD and HQET heavy--light currents at two loops and beyond
D. J. Broadhurst, A. G. Grozin
Heavy--light QCD currents are matched with HQET currents at two loops and leading order in . A single formula applies to all current matchings. As a by--product, a master form…