K ->pi pi amplitudes from lattice QCD with a light charm quark

Giusti L, Hernandez P, Laine M, Pena C, Wennekers J, Wittig H (2007)
PHYSICAL REVIEW LETTERS 98(8): 082003.

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We compute the leading-order low-energy constants of the Delta S=1 effective weak Hamiltonian in the quenched approximation of QCD with up, down, strange, and charm quarks degenerate and light. They are extracted by comparing the predictions of finite-volume chiral perturbation theory with lattice QCD computations of suitable correlation functions carried out with quark masses ranging from a few MeV up to half of the physical strange mass. We observe a Delta I=1/2 enhancement in this corner of the parameter space of the theory. Although matching with the experimental result is not observed for the Delta I=1/2 amplitude, our computation suggests large QCD contributions to the physical Delta I=1/2 rule in the GIM limit, and represents the first step to quantify the role of the charm-quark mass in K ->pi pi amplitudes. The use of fermions with an exact chiral symmetry is an essential ingredient in our computation.
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Giusti L, Hernandez P, Laine M, Pena C, Wennekers J, Wittig H. K ->pi pi amplitudes from lattice QCD with a light charm quark. PHYSICAL REVIEW LETTERS. 2007;98(8): 082003.
Giusti, L., Hernandez, P., Laine, M., Pena, C., Wennekers, J., & Wittig, H. (2007). K ->pi pi amplitudes from lattice QCD with a light charm quark. PHYSICAL REVIEW LETTERS, 98(8): 082003.
Giusti, L., Hernandez, P., Laine, M., Pena, C., Wennekers, J., and Wittig, H. (2007). K ->pi pi amplitudes from lattice QCD with a light charm quark. PHYSICAL REVIEW LETTERS 98:082003.
Giusti, L., et al., 2007. K ->pi pi amplitudes from lattice QCD with a light charm quark. PHYSICAL REVIEW LETTERS, 98(8): 082003.
L. Giusti, et al., “K ->pi pi amplitudes from lattice QCD with a light charm quark”, PHYSICAL REVIEW LETTERS, vol. 98, 2007, : 082003.
Giusti, L., Hernandez, P., Laine, M., Pena, C., Wennekers, J., Wittig, H.: K ->pi pi amplitudes from lattice QCD with a light charm quark. PHYSICAL REVIEW LETTERS. 98, : 082003 (2007).
Giusti, L., Hernandez, P., Laine, Mikko, Pena, C., Wennekers, J., and Wittig, H. “K ->pi pi amplitudes from lattice QCD with a light charm quark”. PHYSICAL REVIEW LETTERS 98.8 (2007): 082003.
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52 References

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Non-perturbative renormalisation of left–left four-fermion operators with Neuberger fermions
DIMOPOULOS, Physics Letters B 641(1), 2006
Probing the chiral weak Hamiltonian at finite volumes
Hernández, Journal of High Energy Physics 2006(10), 2006

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