Lattice QCD calculation of the electroweak box diagrams for the kaon semileptonic decays

We present a lattice QCD calculation of the axial gamma W-box diagrams relevant for the kaon semileptonic decays. We utilize a recently proposed method, which connects the electroweak radiative corrections in Sirlin's representation to that in chiral perturbation theory. It allows us to use the axial gamma W-box correction in the SU(3) limit to obtain the low energy constants for chiral perturbation theory. From first principles our results confirm the previously used low energy constants provided by the minimal resonance model with a significant reduction in uncertainties.

Automated summary

We conducted a lattice QCD calculation to study the axial gamma W-box diagrams relevant for kaon semileptonic decays. By utilizing a recently proposed method, we were able to connect electroweak radiative corrections in Sirlin's representation to that in chiral perturbation theory, allowing us to confirm low energy constants from first principles. Our results also showed a significant reduction in uncertainties compared to previous models.