Current Algebra, Glashow's Model of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>CP</mml:mi></mml:math>Nonconservation, and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>K</mml:mi><mml:mo>→</mml:mo><mml:mn>3</mml:mn><mml:mi>π</mml:mi></mml:math>

Holstein, Barry R.

doi:10.1103/physrev.177.2417

Cited by 24 publications

(4 citation statements)

References 31 publications

(2 reference statements)

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“…It is possible to define CP-violating asymmetries using the Dalitz plot slope g [23,34]. Previous predictions within the SM were done using LO ChPT plus various NLO estimates [34]. There is work looking for large SUSY effects in this asymmetries as well [35].…”

Section: K → 3π and Direct Cp-violating Dalitz-plot Slope G Asymmetriesmentioning

confidence: 99%

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ChPT Progress on Non-Leptonic and Radiative Kaon Decays

Prades¹

2008

Proceedings of Kaon International Conference — PoS(KAON)

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Section: K → 3π and Direct Cp-violating Dalitz-plot Slope G Asymmetriesmentioning

confidence: 99%

“…[23] for their definition-at NLO in ChPT for K [33]. It is possible to define CP-violating asymmetries using the Dalitz plot slope g [23,34]. Previous predictions within the SM were done using LO ChPT plus various NLO estimates [34].…”

Section: K 3π and Direct Cp-violating Dalitz-plot Slope G Asymmetriesmentioning

confidence: 99%

ChPT Progress on Non-Leptonic and Radiative Kaon Decays

Prades¹

2008

Proceedings of Kaon International Conference — PoS(KAON)

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“…On the theory side, though the first calculation of K → 3π at NLO in CHPT was done long ago [5], the analytical full results were unfortunately not available until recently [18]. The CP asymmetries were therefore predicted just at LO plus various estimates of NLO effects [19]. The first full NLO calculation within CHPT for those asymmetries was done in [20].…”

Section: Introductionmentioning

confidence: 99%

CHARGED KAON K → 3π CP VIOLATING ASYMMETRIES

Gámiz

Prades

Scimemi

2005

High Energy Physics

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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 are presented. We discuss the constraints that a measurement of these asymmetries would impose on the Standard Model calculations of ε ′ K and the kind of information it can provide on Im G 8 , Im (e 2 G E ) and higher order weak couplings.

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“…CP-violating observables in K → 3π decays have also attracted a lot of work since long time ago [11,12,13,14,15,16,17,18,19,20,21,22] and references therein.…”

Section: Introductionmentioning

confidence: 99%

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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Current Algebra, Glashow's Model ofCPNonconservation, andK→3π

Cited by 24 publications

References 31 publications

ChPT Progress on Non-Leptonic and Radiative Kaon Decays

ChPT Progress on Non-Leptonic and Radiative Kaon Decays

CHARGED KAON K → 3π CP VIOLATING ASYMMETRIES

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

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