Kinematic scheme study of the $O(a^4)$ Bjorken sum rule and R ratio

R. H. Mason, J. A. Gracey

Published 2023-09-29Version 1

The Bjorken sum rule and R ratio are constructed to $O(a^4)$ in the Landau gauge in the three momentum subtraction schemes of Celmaster and Gonsalves. We aim to examine the issue of convergence for observables in the various schemes as well as to test ideas on whether using the discrepancy in different scheme values is a viable and more quantum field theoretic alternative to current ways of estimating the theory error on a measureable.