m(u)+m(d) from isovector pseudoscalar sum rules

Citation
K. Maltman et J. Kambor, m(u)+m(d) from isovector pseudoscalar sum rules, PHYS LETT B, 517(3-4), 2001, pp. 332-338
Citations number
57
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS B
ISSN journal
03702693 → ACNP
Volume
517
Issue
3-4
Year of publication
2001
Pages
332 - 338
Database
ISI
SICI code
0370-2693(20011004)517:3-4<332:MFIPSR>2.0.ZU;2-M
Abstract
We revisit the isovector pseudoscalar sum rule determination of m(u) + m(d) , using families of finite energy sum rules known to be very accurately sat isfied in the isovector vector channel. The sum rule constraints are suffic iently strong to allow a determination of both m(u) + m(d) and the excited resonance decay constants. The corresponding Borel transformed sum rules ar e also very well satisfied, providing a non-trivial consistency check on th e treatment of direct instanton contributions. We obtain [m(u) + m(d)](2 Ge V) = 7.8 +/- 1.1 MeV (in the MS scheme), only marginally compatible with th e most recent sum rule determinations, but in good agreement with recent un quenched lattice extractions. (C) 2001 Elsevier Science B.V. All rights res erved.