14–19 Jun 2010
Villasimius, Sardinia
Europe/Rome timezone

Computing the long-distance contribution to second order weak amplitudes

15 Jun 2010, 08:30
20m
Room3 (Villasimius, Sardinia)

Room3

Villasimius, Sardinia

Tanka Village
Weak decays and matrix elements Parallel 17: Weak decays and matrix elements

Speaker

Norman Christ (Columbia University)

Description

The calculation of the long-distance contribution to the K^0-\overline{K}_0 mass matrix is divided into three parts: First, the calculation of the matrix element between kaon states of the product of two space-time integrated, $\Delta S=1$, four-quark weak operators. Second an RI/MOM subtraction to remove the short distance part of this matrix element in a fashion consistent with the calculation of the physical short distance part. Third an application of the Lellouch-Luscher method, generalized to second order in the weak interactions, to control finite volume errors. Such an approach promises to permit accurate lattice calculation of the $K_L$-$K_S$ mass difference and the long-distance contributions to $\epsilon_K$.
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Primary author

Norman Christ (Columbia University)

Presentation materials