Progress report on testing robustness of the Newton method in data analysis on 2-point correlation function using a MILC HISQ ensemble

TL;DR

This paper reports progress in analyzing two-point correlation functions for semileptonic decay form factors using MILC HISQ ensembles, testing a new Bayesian fitting method for improved data robustness.

Contribution

It introduces an independent test of Benjamin J. Choi's Bayesian fitting methodology on lattice QCD data for heavy-light meson decays.

Findings

Successful application of the Bayesian method to correlation function analysis.

Validation of the robustness of the new fitting approach.

Preparation for precise form factor extraction in semileptonic decays.

Abstract

We report recent progress in data analysis on the two point correlation functions which will be prerequisite to obtain semileptonic form factors for the $B_{(s)} \to D_{(s)}\ell\nu$ decays. We use a MILC HISQ ensemble for the measurement. We use the HISQ action for light quarks, and the Oktay-Kronfeld (OK) action for the heavy quarks ($b$ and $c$). We used a sequential Bayesian method for the data analysis. Here we test the new fitting methodology of Benjamin J.~Choi in a completely independent manner.