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  • Letter
  • Open Access

Effective electroweak Hamiltonian in the gradient-flow formalism

Robert V. Harlander1,* and Fabian Lange2,3,†

  • 1Institute for Theoretical Particle Physics and Cosmology, RWTH Aachen University, 52056 Aachen, Germany
  • 2Institut für Theoretische Teilchenphysik, Karlsruhe Institute of Technology (KIT), Wolfgang-Gaede-Straße 1, 76128 Karlsruhe, Germany
  • 3Institut für Astroteilchenphysik, Karlsruhe Institute of Technology (KIT), Hermann-von-Helmholtz-Platz 1, 76344 Eggenstein-Leopoldshafen, Germany

  • *harlander@physik.rwth-aachen.de
  • †fabian.lange@kit.edu
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Phys. Rev. D 105, L071504 – Published 26 April, 2022

DOI: https://doi.org/10.1103/PhysRevD.105.L071504

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.

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Phys. Rev. D 105, L071504– Published 26 April, 2022
  • Received 28 January 2022
  • Accepted 1 April 2022
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