Document Type
Article
Department/Program
Physics
Journal Title
Physical Review D
Pub Date
6-2016
Volume
93
Issue
11
Abstract
We present a detailed analysis of methods to reduce statistical errors and excited-state contamination in the calculation of matrix elements of quark bilinear operators in nucleon states. All the calculations were done on a 2 + 1-flavor ensemble with lattices of size 32(3) x 64 generated using the rational hybrid Monte Carlo algorithm at a = 0.081 fm and with M-pi = 312 MeV. The statistical precision of the data is improved using the all-mode-averaging method. We compare two methods for reducing excited-state contamination: a variational analysis and a 2-state fit to data at multiple values of the source-sink separation t(sep). We show that both methods can be tuned to significantly reduce excited-state contamination and discuss their relative advantages and cost effectiveness. A detailed analysis of the size of source smearing used in the calculation of quark propagators and the range of values of t(sep) needed to demonstrate convergence of the isovector charges of the nucleon to the t(sep) -> infinity estimates is presented.
Recommended Citation
Yoon, Boram; Gupta, Rajan; (...); Orginos, Kostas; and et al., Controlling excited-state contamination in nucleon matrix elements (2016). Physical Review D, 93(11).
https://doi.org/10.1103/PhysRevD.93.114506
DOI
https://doi.org/10.1103/PhysRevD.93.114506
