$K\toππ$ from electroweak penguins in $N_f=2$ domain-wall QCD

Details $K\toππ$ from electroweak penguins in $N_f=2$ domain-wall QCD $K\toππ$ from electroweak penguins in $N_f=2$ domain-wall QCD

2005-10-04

arxiv.org/abs/hep-lat/0510019v1

PoS LAT2005 (2005) 350

Physics

High Energy Physics

High Energy Physics - Lattice

6 pages, 6 figures, talk presented at Lattice 2005 (Matrix Elements)

Scientific paper

We present the calculation of $K\to\pi\pi$ matrix elements of electroweak penguin operators {\it i.e.} $Q_7$ and $Q_8$. In the numerical simulation, we use the gauge configurations generated by the combination of $N_f=2$ domain-wall fermions and DBW2 gauge action. From $K\to\pi$ and $K\to 0$ matrix elements on the lattice, we construct $K\to\pi\pi$ matrix elements at next-to-leading order in the chiral expansion by using recent analytic results. Renormalization factor of these matrix elements are obtained by the non-perturbative renormalization technique in RI/MOM scheme. Brief discussion based on our results are made as well as a comparison with previous works.

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