Matrix elements of electroweak penguin operators in the 1/N-c expansion

Citation
M. Knecht et al., Matrix elements of electroweak penguin operators in the 1/N-c expansion, PHYS LETT B, 457(1-3), 1999, pp. 227-235
Citations number
26
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS B
ISSN journal
03702693 → ACNP
Volume
457
Issue
1-3
Year of publication
1999
Pages
227 - 235
Database
ISI
SICI code
0370-2693(19990617)457:1-3<227:MEOEPO>2.0.ZU;2-5
Abstract
It is shown that the K --> pi pi matrix elements of the four-quark operator Q(7), generated by the electroweak penguin-like diagrams of the Standard M odel, can be calculated to first non-trivial order in the chiral expansion and in the 1/N-c expansion. Although the resulting B factors B-7((1/2)) and B-7((3/2)) are found to depend only logarithmically on the matching scale mu, their actual numerical values turn out to be rather sensitive to the pr ecise choice of mu in the GeV region. We compare our results to recent nume rical evaluations from lattice-QCD and to other model estimates. (C) 1999 E lsevier Science B.V. All rights reserved.