K to pi pi Amplitudes at Unphysical Kinematics Using Domain Wall Fermions

Details K to pi pi Amplitudes at Unphysical Kinematics Using Domain Wall Fermions K to pi pi Amplitudes at Unphysical Kinematics Using Domain Wall Fermions

2007-11-26

arxiv.org/abs/0711.3953v1

PoSLAT2007:360,2007

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 4 figures, Talk presented at the XXV International Symposium on Lattice Field Theory, July 30 - August 4 2007, Regens

Scientific paper

The use of chiral perturbation theory in extracting physical K to pi pi matrix elements from matrix elements calculated at unphysical kinematics is outlined. In particular, the possibility of utilizing pions with non-zero momentum in the final state, and of using partial quenching is discussed. Preliminary (not physically normalized) Delta I=3/2 (27,1) K to pi pi matrix elements are calculated on the RBC/UKQCD $24^3 \times 64$, $L_s=16$ lattices, using 2+1 dynamical flavors and domain wall fermions, with an inverse lattice spacing of $a^{-1}=1.729(28) GeV$. Effective mass plots are presented for a light sea quark mass of $m_l^{sea}=0.005$, and various valence quark masses. The plateaux are fit and $E_{\pi\pi}-m_K$ is extracted.

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