CP Violation and $ΔI=1/2$ Enhancement for $K \to ππ$, $K \to ππγ$ Weak Decays

Details CP Violation and $ΔI=1/2$ Enhancement for $K \to ππ$, $K \to ππγ$ Weak Decays CP Violation and $ΔI=1/2$ Enhancement for $K \to ππ$, $K \to ππγ$ Weak Decays

2003-10-04

arxiv.org/abs/hep-ph/0310059v2

Mod.Phys.Lett.A19:2267-2278,2004

Physics

High Energy Physics

High Energy Physics - Phenomenology

Plain LaTeX, 12 pages, 4 EPS figures. PACS numbers: 11.30.Er, 12.15.Lk, 13.20.Eb, 13.40.Ks. Version 2: 14 pages, improved pres

Scientific paper

10.1142/S0217732304015567

Data indicate that $\Delta I=1/2$ transitions account for 4.5-4.7% of both CP conserving and CP violating $K \to 2\pi$ decays, as well as CP conserving radiative $K \to \pi\pi\gamma$ processes. Observed $K \to \pi\pi\gamma/\pi\pi$ branching ratios are shown to scale near $\alpha/\pi$ or $\alpha/2\pi$. The $K_L$-$K_S$ mixing angle $\phi$ and the semileptonic weak-rate asymmetry $\delta$ are reviewed, and theory is shown to be consistent with data. Also, $K \to 2\pi$ $\Delta I=1/2$ dominance is studied in the context of the chiral constituent quark model, displaying again excellent agreement with data. Finally, indirect and direct kaon CP violation are successfully described in the framework of photon-mediated loop graphs. This suggests that kaon CPV can be understood via second-order weak transitions, radiatively corrected.

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