Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2002-12-10
JHEP 0301 (2003) 063
Physics
High Energy Physics
High Energy Physics - Lattice
24 pages. v2: version in JHEP; v3: minor misprint fixed in eq.(5.10)
Scientific paper
10.1088/1126-6708/2003/01/063
We compute the two-point correlator between left-handed flavour charges, and the three-point correlator between two left-handed charges and one strangeness violating \Delta I=3/2 weak operator, at next-to-leading order in finite volume SU(3)_L x SU(3)_R chiral perturbation theory, in the so-called epsilon-regime. Matching these results with the corresponding lattice measurements would in principle allow to extract the pion decay constant F, and the effective chiral theory parameter g_27, which determines the \Delta I = 3/2 amplitude of the weak decays K to \pi\pi as well as the kaon mixing parameter B_K in the chiral limit. We repeat the calculations in the replica formulation of quenched chiral perturbation theory, finding only mild modifications. In particular, a properly chosen ratio of the three-point and two-point functions is shown to be identical in the full and quenched theories at this order.
Hernandez Pedro
Laine Mikko
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