Thanks, I will read, but generally beside e.g. the gravity problem, with increased accuracy there appear inaccuracies all over the standard model, so maybe it is worth revisiting QED? Are you saying the g-factor inaccuracies are not a problem?
The discrepancy in the article you linked is completely unrelated to how well we conceptually understand renormalization (which is broadly applicable to many quantum field theories, not just the standard model). It could be the case that the standard model is wrong, but my claim would still stand.