CHARGED KAON K → 3π CP VIOLATING ASYMMETRIES

Gámiz, E.; Prades, Joaquím; Scimemi, Ignazio

doi:10.1142/9789812702227_0151

Cited by 2 publications

(2 citation statements)

References 18 publications

(43 reference statements)

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“…[23] In this case, the final state involves three pions, so that the analysis of the data is not a trivial matter. [24,25,26] As seen in the figure, the result is in good agreement with the Brookhaven data, as well as with the theoretical predictions. The same group has also investigated a very large sample of K e4 decays.…”

Section: Methodssupporting

confidence: 85%

Ππ SCATTERING

Leutwyler

2007

Chiral Dynamics 2006

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Recent work in low energy pion physics is reviewed. One of the exciting new developments in this field is that simulations of QCD on a lattice now start providing information about the low energy structure of the continuum theory, for physical values of the quark masses. Although the various sources of systematic error yet need to be explored more thoroughly, the results obtained for the correlation function of the axial current with the quantum numbers of the pion already have important implications for the effective Lagrangian of QCD. The consequences for ππ scattering are discussed in some detail. The second part of the report briefly reviews recent developments in the dispersion theory of the scattering amplitude. One of the important results here is that the position of the lowest resonances of QCD can now be determined in a model independent manner and rather precisely. Beyond any doubt, the partial wave with I = ℓ = 0 contains a pole on the second sheet, not far from the threshold: the lowest resonance of QCD carries the quantum numbers of the vacuum.

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Section: Methodssupporting

confidence: 85%

Ππ SCATTERING

Leutwyler

2007

Chiral Dynamics 2006

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“…From (5.2) and the inputs discussed in Section 3.1 we conclude that the asymmetries C here and the one reported in [26] comes from updating the values of Re G 8 and G 27 from [10]. The error in the first line is not reported for the reasons explained in Section 3.…”

Section: Cp Violating Asymmetries In the Slope Gmentioning

confidence: 65%

Charged KaonK→3π CP violating asymmetries at NLO in CHPT

Gámiz

Prades

Scimemi

2003

J. High Energy Phys.

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We give the first full next-to-leading order analytical results in Chiral Perturbation Theory for the charged Kaon K → 3π slope g and decay rates CP-violating asymmetries. We have included the dominant Final State Interactions at NLO analytically and discussed the importance of the unknown counterterms. We find that the uncertainty due to them is reasonable just for ∆g C , i.e. the asymmetry in the K + → π + π + π − slope g, we get ∆g C = −(2.4 ± 1.2) × 10 −5 . The rest of the asymmetries are very sensitive to the unknown counterterms, in particular, the decay rate asymmetries can change even sign. One can use this large sentivity to get valuable information on those counterterms and on Im G 8 coupling -very important for the CP-violating parameter ε ′ K -from the eventual measurement of these asymmetries. We also provide the one-loop O(e 2 p 2 ) electroweak octet contributions for the neutral and charged Kaon K → 3π decays. at CERN and KLOE at Frascati, have announced the possibility of measuring the asymmetry ∆g C and ∆g N with a sensitivity of the order of 10 −4 , i.e., two orders of magnitude better than at present [23], see for instance [24] and [25]. It is therefore mandatory to have these predictions at NLO in CHPT. The goal of this paper is to make such predictions.In particular, we have explicitly checked the one-loop results of [10], we also provide the complete one-loop calculation for the electroweak octet contribution up to O(e 2 p 2 ) in CHPT for all the decays K → 3π and finally, we estimate the dominant FSI for the charged Kaon K → 3π decays. We use all this to make the first full NLO in CHPT predictions for the charged Kaon K → 3π slope g and decay rates CP-violating asymmetries. We also present analytical results for all of our predictions.Notation and definitions of the asymmetries are in Section 2. In Section 3 we collect the inputs that we use for the weak counterterms in the leading and next-to-leading order weak chiral Lagrangians. In Section 4 we give the CHPT predictions at leading-and nextto-leading order for the decay rates and the slopes g, h and k. We discuss the results for the CP-violating asymmetries at leading order first in Section 5 and we discuss them at NLO in Section 6. Finally, we give the conclusions and make comparison with earlier work in Section 7. In Appendix A, the ∆S = 1 CHPT Lagrangian used at NLO can be found.

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CHARGED KAON K → 3π CP VIOLATING ASYMMETRIES

Cited by 2 publications

References 18 publications

Ππ SCATTERING

Ππ SCATTERING

Charged KaonK→3π CP violating asymmetries at NLO in CHPT

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