Speaker
Qi Liu
(Columbia University)
Description
We report a direct lattice calculation of the $K$ to $\pi\pi$ decay matrix elements for both $\Delta I=1/2$ and $3/2$ channels on 2+1 flavor, domain wall fermion, $16^3\times32$ lattices. All possible contractions are carefully listed and calculated and identities among them are verified. The decay into the isospin zero $\pi\pi$ final state, which receives contributions from the disconnected graphs, is very difficult to calculate, but a clear signal in the similar disconnected $\pi\pi$ correlator can be seen. We also demonstrate that a large explicit subtraction of the divergent $\bar{s}\gamma_5d$ contribution is necessary even for the case of kinematics which are nominally energy conserving. Preliminary results, some with large errors, will be presented for the various contributions to the renormalized weak matrix elements $A_0$ and $A_2$ for the $m_\pi=420MeV$ and $m_\pi=236MeV$(partially quenched light quark) cases.
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Primary author
Qi Liu
(Columbia University)
