Abstract

We present an update on the status of the calculations of isovector and flavor-diagonal charges of the nucleon. The calculations of the isovector charges are being done using ten 2+1+1-flavor HISQ ensembles generated by the MILC collaboration covering the range of lattice spacings a ≈ 0.12, 0.09, 0.06 fm and pion masses Mπ ≈ 310, 220, 130 MeV. Excited-states contamination is controlled by using four-state fits to two-point correlators and three-states fits to the three-point correlators. The calculations of the disconnected diagrams needed to estimate flavor-diagonal charges are being done on a subset of six ensembles using the stocastic method. Final results are obtained using a simultaneous fit in M2π, the lattice spacing a and the finite volume parameter MπL keeping only the leading order corrections.

Highlights

  • This talk presents an update on results given in Refs. [1,2,3] on isovector and flavor diagonal charges of the nucleon using our clover-on-HISQ lattice approach

  • The better statistical precision of the CalLat results for a given number of measurements is easy to understand: the CalLat fits to extract guA−d are based on a range of τ values that is shifted by 6–8 timeslices to smaller τ compared to our fit range

  • This talk presents the current status of our results for isovector and flavor diagonal charges of the nucleons using 10 ensembles of 2 + 1 + 1-flavor HISQ ensembles generated by the MILC collaboration [4]

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Summary

Introduction

This talk presents an update on results given in Refs. [1,2,3] on isovector and flavor diagonal charges of the nucleon using our clover-on-HISQ lattice approach. Mπsea (MeV) 305.3(4) 218.1(4) 216.9(2) 217.0(2) 312.7(6) 220.3(2) 128.2(1) 319.3(5)

Controlling excited-state contamination
Disconnected Contributions
Findings
Summary
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