Weak hamiltonian Wilson Coefficients from Lattice QCD

TL;DR

This paper calculates the Wilson Coefficients $C_1$ and $C_2$ of the Effective Weak Hamiltonian using lattice QCD simulations, focusing on unphysically light W bosons around 2 GeV and analyzing systematic uncertainties.

Contribution

It provides a lattice QCD based all-orders in $ extalpha_s$ calculation of Wilson Coefficients for the Weak Hamiltonian, including systematic uncertainty analysis.

Findings

Wilson Coefficients $C_1$ and $C_2$ computed at unphysical W boson mass

Systematic uncertainties of the coefficients analyzed

Results applicable to low-energy effective weak interactions

Abstract

In this work we present a calculation of the Wilson Coefficients $C_1$ and $C_2$ of the Effective Weak Hamiltonian to all-orders in $\alpha_s$, using lattice simulations. Given the current availability of lattice spacings we restrict our calculation to unphysically light $W$ bosons around 2 GeV and we study the systematic uncertainties of the two Wilson Coefficients.