The profile likelihood method (PLM) allows for simultaneous extraction of pairs of physics observables AL(+η),AL(−η) from quads of yields, Ns, depending on beams polarization directions ’s’ and the STAR detector η-slice. We used Poisson statistics and multiplied global likelihoods to combine the data from multiple years. For the most complex case we used 16 yields to extract 2 parameters of interest while marginalizing over 9 nuisance parameters. The RooStats package from ROOT/CERN has been extended to account for the constrain on the support of likelihood function while computing the confidence interval, ready to use code examples are included.

This STAR note does NOT contain any physics results for W-boson AL.