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تسجيل مستخدم جديدEmerging understanding of the Delta I = 1/2 Rule from Lattice QCD
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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)). The contributions which partially cancel in Re A_2 are also the largest ones in Re A_0, but now they have the same sign and so enhance this amplitude. The emerging explanation of the Delta I=1/2 rule is a combination of the perturbative running to scales of O(2 GeV), a relative suppression of Re A_2 through the cancellation of the two dominant contributions and the corresponding enhancement of Re A_0. QCD and EWP penguin operators make only very small contributions at such scales.
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