Correlators of left charges and weak operators in finite volume chiral perturbation theory

Hernandez P, Laine M (2003)
Journal of High Energy Physics (1): 063.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Hernandez, P; Laine, MikkoUniBi
Abstract / Bemerkung
We compute the two-point correlator between left-handed flavour charges, and the three-point correlator between two left-handed charges and one strangeness violating DeltaI = 3/2 weak operator, at next-to-leading order in finite volume SU(3)(L) x SU(3)(R) chiral perturbation theory, in the so-called epsilon-regime. Matching these results with the corresponding lattice measurements would in principle allow to extract the pion decay constant F, and the effective chiral theory parameter g(27), which determines the DeltaI = 3/2 amplitude of the weak decays K --> pipi as well as the kaon mixing parameter (B) over cap (K) in the chiral limit. We repeat the calculations in the replica formulation of quenched chiral perturbation theory, finding only mild modifications. In particular, a properly chosen ratio of the three-point and two-point functions is shown to be identical in the full and quenched theories at this order.
Stichworte
weak decays; kaon physics; chiral Lagrangians; lattice QCD
Erscheinungsjahr
2003
Zeitschriftentitel
Journal of High Energy Physics
Ausgabe
1
Art.-Nr.
063
ISSN
1029-8479
Page URI
https://pub.uni-bielefeld.de/record/2322836

Zitieren

Hernandez P, Laine M. Correlators of left charges and weak operators in finite volume chiral perturbation theory. Journal of High Energy Physics. 2003;(1): 063.
Hernandez, P., & Laine, M. (2003). Correlators of left charges and weak operators in finite volume chiral perturbation theory. Journal of High Energy Physics(1), 063
Hernandez, P, and Laine, Mikko. 2003. “Correlators of left charges and weak operators in finite volume chiral perturbation theory”. Journal of High Energy Physics, no. 1: 063.
Hernandez, P., and Laine, M. (2003). Correlators of left charges and weak operators in finite volume chiral perturbation theory. Journal of High Energy Physics:063.
Hernandez, P., & Laine, M., 2003. Correlators of left charges and weak operators in finite volume chiral perturbation theory. Journal of High Energy Physics, (1): 063.
P. Hernandez and M. Laine, “Correlators of left charges and weak operators in finite volume chiral perturbation theory”, Journal of High Energy Physics, 2003, : 063.
Hernandez, P., Laine, M.: Correlators of left charges and weak operators in finite volume chiral perturbation theory. Journal of High Energy Physics. : 063 (2003).
Hernandez, P, and Laine, Mikko. “Correlators of left charges and weak operators in finite volume chiral perturbation theory”. Journal of High Energy Physics 1 (2003): 063.
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arXiv: hep-lat/0212014

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