English

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

High Energy Physics - Lattice 2008-11-26 v1

Abstract

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 243×6424^3 \times 64, Ls=16L_s=16 lattices, using 2+1 dynamical flavors and domain wall fermions, with an inverse lattice spacing of a1=1.729(28)GeVa^{-1}=1.729(28) GeV. Effective mass plots are presented for a light sea quark mass of mlsea=0.005m_l^{sea}=0.005, and various valence quark masses. The plateaux are fit and EππmKE_{\pi\pi}-m_K is extracted.

Keywords

Cite

@article{arxiv.0711.3953,
  title  = {K to pi pi Amplitudes at Unphysical Kinematics Using Domain Wall Fermions},
  author = {Matthew Lightman},
  journal= {arXiv preprint arXiv:0711.3953},
  year   = {2008}
}

Comments

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