The electroweak Hamiltonian in the gradient flow formalism

TL;DR

This paper develops a flowed operator product expansion for electroweak current-current operators at NNLO QCD, enhancing the connection between lattice and perturbative calculations to improve low-energy flavor observable predictions.

Contribution

It introduces a new flowed operator product expansion for electroweak Hamiltonian operators at NNLO QCD, facilitating scheme transformations and reducing theoretical uncertainties.

Findings

Constructed the flowed operator product expansion at NNLO QCD.

Simplifies scheme transformations between lattice and perturbative calculations.

Potentially reduces uncertainties in low-energy flavor physics predictions.

Abstract

Over the last decade the gradient flow formalism has become an important tool for lattice simulations of Quantum Chromodynamics. It offers remarkable renormalization properties which pave the way for cross-fertilization between perturbative and lattice calculations. In this contribution we report on the construction of the flowed operator product expansion for the current-current operators of the electroweak Hamiltonian at NNLO QCD. This allows for simpler transformations between lattice and perturbative schemes and might reduce the uncertainties of theoretical predictions for low-energy flavor observables.