Effective electroweak Hamiltonian in the gradient-flow formalism
Robert V. Harlander, Fabian Lange
TL;DR
This paper develops a formalism for the effective electroweak Hamiltonian using gradient flow, enabling consistent matching between perturbative Wilson coefficients and non-perturbative lattice matrix elements at NNLO in QCD.
Contribution
It introduces a gradient-flow based approach to construct the electroweak Hamiltonian at NNLO, facilitating improved lattice-QCD and perturbative calculations.
Findings
Constructed the Hamiltonian for two operator bases.
Presented results at next-to-next-to-leading order in QCD.
Enables consistent matching with lattice simulations.
Abstract
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 presented for two common choices of the operator basis. This paves the way for a consistent matching of perturbatively evaluated Wilson coefficients and non-perturbative matrix elements evaluated by lattice simulations.
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Taxonomy
TopicsPhysics of Superconductivity and Magnetism · Quantum and electron transport phenomena · Superconducting Materials and Applications