Speaker
Norman Christ
(Columbia University)
Description
We describe a first-principles method to apply lattice QCD to compute the order $\alpha_{\mathrm{EM}}$ corrections to $K\to\pi\ell\nu_\ell$ 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 hep-lat posting 2304.08026.
| Topical area | Quark and Lepton Flavor Physics |
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Primary authors
Prof.
Luchang Jin
(University of Connecticut)
Norman Christ
(Columbia University)
Prof.
Sachrajda Christopher
(University of Southampton)
Dr
Tianle Wang
(Brookhaven National Laboratory)
Prof.
Xu Feng
(Peking University)