Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1995-08-21
Phys.Lett.B360:83-92,1995
Physics
High Energy Physics
High Energy Physics - Lattice
LaTeX, 16 pages, 2 postscript figures
Scientific paper
10.1016/0370-2693(95)01124-9
We compute the renormalised four-fermion operator $O^{\Delta S=2}$ using a non-perturbative method recently introduced for determining the renormalisation constants of generic lattice composite operators. Because of the presence of the Wilson term, $O^{\Delta S=2}$ mixes with operators of different chiralities. A projection method to determine the mixing coefficients is implemented. The numerical results for the renormalisation constants have been obtained from a simulation performed using the SW-Clover quark action, on a $16^3 \times 32$ lattice, at $\beta=6.0$. We show that the use of the constants determined non-perturbatively improves the chiral behaviour of the lattice kaon matrix element $\<\bar K^0| O^{\Delta S=2} | K^0\>_{\latt}$.
Donini Andrea
Martinelli Gabriele
Sachrajda Chris T.
Talevi Monica
Vladikas Anastassios
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