ar X iv : h ep - l at / 9 71 10 12 v 1 7 N ov 1 99 7 1 K + → π + π 0 Decay Amplitude in Quenched Lattice QCD ∗
نویسندگان
چکیده
A new study is reported of a lattice QCD calculation of the K → ππ decay amplitude with the Wilson quark action in the quenched approximation at β = 6.1. The amplitude is extracted from the K → ππ Green function, and a conversion to the continuum value is made employing a recent one-loop calculation of chiral perturbation theory. The result is consistent with the experimental value if extrapolated to the chiral limit.
منابع مشابه
ar X iv : h ep - l at / 9 71 10 28 v 1 1 5 N ov 1 99 7 1 First study of B → π semileptonic decay form factors using NRQCD
We present a quenched calculation of the form factors of the semileptonic weak decay B → πl¯ ν with O(1/mQ) NRQCD heavy quark and Wilson light quark on a 16 3 × 32 lattice at β = 5.8. The form factors are evaluated at six heavy quark masses, in the range of mQ ∼ 1.5 − 8 GeV. 1/mQ dependence of matrix elements are investigated and compared with HQET predictions. We observe clear signal for the f...
متن کاملar X iv : h ep - p h / 97 10 46 8 v 2 1 2 N ov 1 99 7 Connections Between Lattice Gauge Theory and Chiral Perturbation Theory
In this talk, I address the comparison between results from lattice QCD computations and Chiral Perturbation Theory (ChPT). I briefly discuss how ChPT can be adapted to the much-used quenched approximation and what it tells us about the special role of the η ′ in the quenched theory. I then review lattice results for some quantities (the pion mass, pion scattering lengths and the K + → π + π 0 ...
متن کاملar X iv : h ep - l at / 9 90 60 02 v 2 2 4 N ov 1 99 9 Exploring the π + – π + Interaction in Lattice QCD
An effective residual interaction for a meson-meson system is computed in lattice QCD. We describe the theoretical framework and present its application to the I = 2 channel S-wave interaction of the π–π system. Scattering phase shifts are also computed and compared to experimental results.
متن کاملar X iv : h ep - l at / 9 31 20 16 v 1 3 D ec 1 99 3 1 Lattice QCD Calculation of Hadron Scattering Lengths ∗
Method of calculating hadron multi-point functions and disconnected quark loop contributions which are not readily accessible through conventional techniques is proposed. Results are reported for π-π, π-N and N-N scattering lengths and the flavor singlet-non singlet meson mass splitting estimated in quenched QCD.
متن کاملar X iv : h ep - p h / 97 10 46 8 v 1 2 4 O ct 1 99 7 Connections Between Lattice Gauge Theory and Chiral Perturbation Theory
In this talk, I address the comparison between results from lattice QCD computations and Chiral Perturbation Theory (ChPT). I briefly discuss how ChPT can be adapted to the much-used quenched approximation and what it tells us about the special role of the η ′ in the quenched theory. I then review lattice results for some quantities (the pion mass, pion scattering lengths and the K + → π + π 0 ...
متن کامل