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Effective electroweak Hamiltonian in the gradient-flow formalism

Robert V. Harlander, Fabian Lange

2022Physical review. D/Physical review. D.15 citationsDOIOpen Access PDF

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 allows for a consistent matching of perturbatively evaluated Wilson coefficients and nonperturbative matrix elements evaluated by lattice simulations on the basis of the gradient-flow formalism.

Topics & Concepts

Electroweak interactionPhysicsHamiltonian (control theory)Formalism (music)Quantum chromodynamicsLattice QCDParticle physicsQuantum electrodynamicsMathematical physicsTheoretical physicsMathematicsMathematical optimizationArtVisual artsMusicalParticle physics theoretical and experimental studiesPhysics of Superconductivity and MagnetismQuantum Chromodynamics and Particle Interactions