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2012

Emerging understanding of the \Delta I = 1/2 Rule from Lattice QCD

Boyle, P. A., Christ, N. H., Garron, N. et al.

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There has been much speculation as to the origin of the \Delta I = 1/2 rule (Re A_0/Re A_2 \simeq 22.5).

We find that the two dominant contributions to the \Delta I=3/2, K \to \pi \pi{} correlation functions have opposite signs leading to a significant cancellation.
This partial cancellation occurs in our computation of Re A_2 with physical quark masses and kinematics (where we reproduce the experimental value of A_2) and also for heavier pions at threshold.
For Re A_0, although we do not have results at physical kinematics, we do have results for pions at zero-momentum with m_\pi{} \simeq 420 MeV (Re A_0/Re A_2=9.1(2.1)) and m_\pi{} \simeq 330 MeV (Re A_0/Re A_2=12.0(1.7)).

Emerging understanding of the \Delta I = 1/2 Rule from Lattice QCD · Around

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