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$K^{+} opi^{+}pi^{0}$ Decay Amplitude with the Wilson Quark Action in Quenched Lattice QCD | | JLQCD Collaboration: S. Aoki
; M. Fukugita
; S. Hashimoto
; N. Ishizuka
; Y. Iwasaki
; K. Kanaya
; Y. Kuramashi
; M. Okawa
; A. Ukawa
; T. Yoshié
; | | Date: |
21 Nov 1997 | | Journal: | Phys.Rev. D58 (1998) 054503 | | Subject: | hep-lat | | Abstract: | We present a calculation for the $K^+ opi^+ pi^0 $ decay amplitude using a quenched simulation of lattice QCD with the Wilson quark action at $eta=6/g^2=6.1$. The decay amplitude is extracted from the ratio, the $K opipi$ three-point function divided by either $K$ and $pi$ meson two-point functions or $K$ meson two-point function and I=2 $pipi$ four-point function; the two different methods yield consistent results. Finite size effects are examined with calculations made on $24^3 imes 64$ and $32^3 imes 64$ lattices, and are shown that they are explained by one-loop effects of chiral perturbation theory. The lattice amplitude is converted to the continuum value by employing a one-loop calculation of chiral perturbation theory, yielding a value in agreement with experiment if extrapolated to the chiral limit. We also report on the $K$ meson $B$ parameter $B_K$ obtained from the $K^+ opi^+pi^0$ amplitude using chiral perturbation theory. | | Source: | arXiv, hep-lat/9711046 | | Services: | Forum | Review | PDF | Favorites | |
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