Lattice calculation of electromagnetic corrections to Kℓ3 decay

2024/02/14 by Christ, Norman H., Feng, Xu, Jin, Luchang +2
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.2402.08915

Abstract

We describe a first-principles method to apply lattice QCD to compute the order α_EM corrections to K→πℓν_ℓ decay. This method formulates the calculation in infinite volume with the conventional infinite-volume, continuum treatment of QED. Infinite volume reconstruction is used to replace the QCD components of the calculation with finite-volume amplitudes which can be computed in Euclidean space using lattice QCD, introducing finite-volume errors which vanish exponentially as the volume used in the QCD calculation is increased. This approach has also been described in an appendix to the recent paper: arXiv:2304.08026.

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