| On-shell \Delta I = 3/2 kaon weak matrix elements with non-zero total momentum (2008) | |||||||||
Abstract | |||||||||
| We present our results for the on-shell \Delta I = 3/2 kaon decay matrix elements using domain wall fermions and the DBW2 gauge action at one coarse lattice spacing corresponding to a^{-1} = 1.31 GeV in the quenched approximation. The on-shell matrix elements are evaluated in two total momentum frames, the center-of-mass and non-zero total momentum frames. We employ the formula proposed by Lellouch and Luscher in the center-of-mass frame, and its extension for non-zero total momentum frame to extract the infinite volume, on-shell, center-of-mass frame decay amplitudes. We determine the decay amplitude at the physical pion mass and momentum from the chiral extrapolation and an interpolation of the relative momentum using the results calculated in the two frames. We have obtained Re(A_2) = 1.66(23)(^{+48}_{-0})(^{+53}_{-0})x10^{-8} GeV and Im(A_2) = -1.181(26)(^{+0}_{-14})(^{+44}_{-0})x10^{-12} GeV at the physical point, where the first error is statistic, and the second and third are systematic. The result of $\mathrm{Re}A_2$ is reasonably consistent with experiment, while the result is evaluated from the data at the large pion mass region.. Comment: 50 pages, 18 figures | |||||||||
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