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Short-flow-time expansion of quark bilinears through next-to-next-to-leading order QCD
Janosch Borgulat, Robert V. Harlander, Jonas T. Kohnen +1
The gradient-flow formalism proves to be a useful tool in lattice calculations of quantum chromodynamics. For example, it can be used as a scheme to renormalize composite operators…
Using Gradient Flow to Renormalise Matrix Elements for Meson Mixing and Lifetimes
Matthew Black, Robert Harlander, Fabian Lange +3
Neutral meson mixing and meson lifetimes are theory-side parametrised in terms four-quark operators which can be determined by calculating weak decay matrix elements using lattice…
Two-loop matching of the chromo-magnetic dipole operator with the gradient flow
J. Borgulat, R. Harlander, M. D. Rizik +1
The chromo-magnetic dipole operator is expressed in terms of operators at finite flow time in the gradient-flow formalism. The matching coefficients are evaluated through next-to-n…
Effective electroweak Hamiltonian in the gradient-flow formalism
Robert V. Harlander, Fabian Lange
The effective electroweak Hamiltonian in the gradient-flow formalism is constructed for the current-current operators through next-to-next-to-leading order QCD. The results are pre…
The gradient flow at higher orders in perturbation theory
Robert Harlander
Various results for higher-order perturbative calculations in the gradient-flow formalism are reviewed, including the gradient-flow beta function and the small-flow-time expansion…
The electroweak Hamiltonian in the gradient flow formalism
Robert Harlander, Fabian Lange
Over the last decade the gradient flow formalism has become an important tool for lattice simulations of Quantum Chromodynamics. It offers remarkable renormalization properties whi…