QCD SUM-RULE DETERMINATION OF ALPHA(M-Z) WITH MINIMAL DATA INPUT

Citation
S. Groote et al., QCD SUM-RULE DETERMINATION OF ALPHA(M-Z) WITH MINIMAL DATA INPUT, Physics letters. Section B, 440(3-4), 1998, pp. 375-385
Citations number
18
Categorie Soggetti
Physics
Journal title
ISSN journal
03702693
Volume
440
Issue
3-4
Year of publication
1998
Pages
375 - 385
Database
ISI
SICI code
0370-2693(1998)440:3-4<375:QSDOAW>2.0.ZU;2-F
Abstract
We present the results of a new evaluation of the running fine structu re constant a at the scale of the Z mass in which the role of the e(+) e(-) annihilation input data needed in this evaluation is minimized. T his is achieved by reducing the weight function M-Z(2) /(s(M-Z(2) - s) ) in the dispersion integral over the e(+)e(-) annihilation data by su btracting a polynomial function from the weight function which mimics its energy dependence in given energy intervals. In order to compensat e for this subtraction the same polynomial weight integral is added ag ain but is now evaluated on a circular contour in the complex plane us ing QCD and global duality. For the hadronic contribution to the shift in the fine structure constant we obtain Delta alpha(had)((5)) = (277 .6 +/- 4.1).10(-4). Adding in the leptonic and top contributions our f inal result is alpha((M)Z)(-1) = 128.925 +/- 0.056. (C) 1998 Elsevier Science B.V. All rights reserved.