Influence of Errors on the Correlation Between Rsub( Pi )Sup(2) and Asub( Mu )( Pi exp + pi exp - ) Through Spacelike Data for the Pion Form Factor

摘要

We construct the correlation between the mean squared pion charge radius rsub( pi )sup(2) and the pionic contribution asub( mu )( pi exp + pi exp - ) to the muon magnetic moment by means of spacelike data for the pion form factor and investigate the dependence of the correlation on errors of these data. We put into evidence, in the correlation picture, regions of (sometimes very high) instability of the conditional bounds of these magnitudes with respect to errors (and also with respect to each other). The existence of such instabilities in the physically interesting part of the correlation picture asks for extreme care in the interpretation of numerical values for the (conditional) bounds, considered without reference to this picture. (Atomindex citation 10:460204)