Update on the improved lattice calculation of direct CP-violation in K decays

Abstract

We discuss the status of the RBC & UKQCD collaboration's lattice determination of $\hat{I}{\mu }^{\prime }$, the measure of direct CP-violation in kaon decays, focusing in particular on recent developments in statistical techniques for estimating standard errors and goodness-of-fit metrics for large amounts of data that have correlations both in the temporal coordinate and also in molecular dynamics time. A key result is the formulation of a technique for determining the null distribution of a fit using a bootstrap method that is free from the usual assumptions of independence, large-$n$ and/or normal data, that can for instance be applied to compute p-values even for uncorrelated fits.

7 pages, 5 figures. Contribution to the 37th International Symposium on Lattice Field Theory (Lattice 2019), Wuhan, China, June 2019