The Impact of |Delta I|=5/2 Transitions in K-> pi pi Decays

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dc.creatorGardner, S.
dc.creatorValencia, G.
dc.date2000-06-21
dc.date2000-07-31
dc.date.accessioned2026-07-07T11:30:53Z
dc.date.available2026-07-07T11:30:53Z
dc.descriptionWe consider the impact of isospin violation on the analysis of K-> pi pi decays. We scrutinize, in particular, the phenomenological role played by the additional weak amplitude, of |Delta I|=5/2 in character, incurred by the presence of isospin violation. We show that Watson's theorem is appropriate in O(m_d-m_u), so that the inferred pi-pi phase shift at sqrt{s}=m_K determines the strong phase difference between the I=0 and I=2 amplitudes in K-> pi pi decay. We find the magnitude of the |Delta I|=5/2 amplitude thus implied by the empirical branching ratios to be larger than expected from estimates of isospin-violating strong and electromagnetic effects. We effect a new determination of the octet and 27-plet coupling constants with strong-interaction isospin violation and with electromagnetic effects, as computed by Cirigliano, Donoghue, and Golowich, and find that we are unable to resolve the difficulty. Exploring the role of |Delta I|=5/2 transitions in the CP-violating observable epsilon'/epsilon, we determine that the presence of a |Delta I|=5/2 amplitude impacts the empirical determination of omega, the ratio of the real parts of the |Delta I|=3/2 to |Delta I|=1/2 amplitudes, and that it generates a decrease in the estimation of epsilon'/epsilon.
dc.description29 pages, 1 ps fig, refs. added, to appear in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/hep-ph/0006240
dc.identifierhttp://arxiv.org/abs/hep-ph/0006240
dc.identifierPhys.Rev.D62:094024,2000
dc.identifierdoi:10.1103/PhysRevD.62.094024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197107
dc.subjectHigh Energy Physics - Phenomenology
dc.titleThe Impact of |Delta I|=5/2 Transitions in K-> pi pi Decays
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