2004
DOI: 10.1140/epjc/s2004-01879-0
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The rare decay $K_{\mathrm{L}} \rightarrow\pi^{0} \mu^{ + } \mu^{-}$ within the SM

Abstract: We describe the spectra and decays of π + π − and π ± K ∓ atoms within a nonrelativistic effective field theory. The evaluations of the energy shifts and widths are performed at next-to-leading order in isospin symmetry breaking. We provide general formulae for all S-states, and discuss the states with angular momentum one in some detail. The prediction for the lifetime of the π ± K ∓ atom in its ground-state yields τ 10 = (3.7 ± 0.4) · 10 −15 s.

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Cited by 70 publications
(68 citation statements)
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“…Within CHPT, only the 0 ++ state is produced at LO through the finite two-loop process K L → π 0 P + P − → π 0 γ γ → π 0 + − (P = π, K). Higher-order corrections are estimated using K L → π 0 γ γ experimental data for both the 0 ++ and 2 ++ contributions [871,872].…”
Section: K L → π 0 + − In the Smmentioning
confidence: 99%
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“…Within CHPT, only the 0 ++ state is produced at LO through the finite two-loop process K L → π 0 P + P − → π 0 γ γ → π 0 + − (P = π, K). Higher-order corrections are estimated using K L → π 0 γ γ experimental data for both the 0 ++ and 2 ++ contributions [871,872].…”
Section: K L → π 0 + − In the Smmentioning
confidence: 99%
“…Also, better measurements of K L → π 0 γ γ would help in reducing the error on the 0 ++ and 2 ++ contributions. Alternatively, they can be partially cut away through energy cuts or Dalitz plot analyses [871,872,887]. As shown in Fig.…”
Section: K L → π 0 + − In the Smmentioning
confidence: 99%
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