Remarks on "Calculation of the quarkonium spectrum and m(b), m(c) to orderalpha(4)(s)" - art. no. 077505

In a recent paper, we included two-loop, relativistic one-loop, and second- order relativistic tree level corrections, plus leading nonperturbative con tributions, to obtain a calculation of the lower states in the heavy quarko nium spectrum correct up to, and including, O(alpha(s)(4)) and leading Lamb da(4)/m(4) terms. The results were obtained with, in particular, the value of the two-loop static coefficient due to Peter; this has been recently cha llenged by Schroder. In our previous paper we used Peter's result; in the p resent one we now give results with Schroder's, as this is likely to be the correct one. The variation is slight as the value of b(1) is only one amon g the various O(alpha(s)(4)) contributions. With Schroder's expression we n ow have m(b) = 5001 (-66) (+104) MeV, (m) over bar(b)((m) over bar(b)(2)) = 4454 (-29) (+45) MeV, m(c) = -1866 (-133) (+215) MeV, (m) over bar(c)((m) over bar(c)(2) = 1542 (-104) (+163) MeV. Moreover, Gamma(Y --> e(+) e(-)) = 1.07 +/- 0.28 keV(expt = 1.320 +/- 0.04 keV) and the hyperfine splitting i s predicted to be M(Y)-M(eta) = 47 (-13) (+15) MeV.