Computing the long-distance contribution to the kaon mixing parameter ε_K

Details Computing the long-distance contribution to the kaon mixing parameter ε_K Computing the long-distance contribution to the kaon mixing parameter ε_K

2012-01-10

arxiv.org/abs/1201.2065v1

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages; presented at the XXIX International Symposium on Lattice Field Theory, July 10-16 2011, Squaw Valley, Lake Tahoe, Cal

Scientific paper

The largest contribution to the CP violating K_L-K_S mixing parameter \epsilon_K comes from second order weak interactions at short distances and can be accurately determined by a combination of electroweak perturbation theory and the calculation of the parameter B_K from lattice QCD. However, there is an additional long distance contribution to \epsilon_K which is estimated to be of order 5%. Here recently introduced lattice techniques for computing the long-distance component of the K_L-K_S mass difference are generalized to this long-distance contribution to \epsilon_K.

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