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Rare Kaon Decays Revisited

CERN, 5 th May 2004. Rare Kaon Decays Revisited. Samuel FRIOT. in collaboration with D. GREYNAT and E. de RAFAEL. arXiv:hep-ph/0404136 submitted to PLB. Motivations. 1- New experimental results for the rare decays. [NA48 ’03]. Those results permit a.

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Rare Kaon Decays Revisited

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  1. CERN, 5th May 2004 Rare Kaon DecaysRevisited Samuel FRIOT in collaboration with D. GREYNAT and E. de RAFAEL arXiv:hep-ph/0404136 submitted to PLB

  2. Motivations 1- New experimental results for the rare decays [NA48 ’03] Those results permit a Re-analysis of the CP violating rare decay 2- Computation of the coupling constants of to leading and next-to-leading orders in Large NC QCD

  3. Constructive Destructive Interference Term  CP Conserving part  CP Violating part  Direct CP Short Distance Contribution  Indirect CP directly from ?

  4. and can be rewritten in a Large NC counting as is where is Phenomenological constraints on this coupling constants via Chiral Lagrangians The type of interferences is strongly linked to coupling constants of chiral Lagrangians Precisely to and in their combination In fact the usual chiral electro-weak order p4 Lagrangian is[EPdeR ’87]

  5. [PDG ’02] [NA48 ’03] Constraints from Branching Ratios key-quantities Order p4

  6.  OctetDominanceHypothesis[EPdR 87]: Octet Dominance Hypothesis and Large-NC Predictions Large-NcPredictions : Through the bosonization of the factorized part of the operator matched to our order p4 chiral Lagrangian we find See also [Bruno Prades ’93]

  7. Results Conclusion: in both cases thenCONSTRUCTIVE INTERFERENCES But the sign of is not clearly predicted: Need for a Large NC next-to-leading order calculation

  8. Order p4 : where is the function of the pion chiral loop. Clearly, the order p4 is not sufficient Constraints from the form factor

  9. Narrow resonances dynamical framework K K K     K NRD Hyp. MHA chiral limit Confirmation of results: Octet Dominance[EPdeR ’87]

  10. Minimal Narrow resonances Saturation of the Form Factor The form factor is now

  11. Fit

  12. Predictions

  13. Prediction for and Outlook CP Conserving Part[Buchalla et al. ‘03] CP Direct Violating Part[Buchalla et al. ‘03] CP Indirect Violating Part[NA48 ‘03] Interference term[this work] AIM Next-to-leading order calculation in Large-NC QCD of In the framework of[Hambye et al. ’03]

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