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Rare Decays of D Mesons

Rare Decays of D Mesons. Svjetlana Fajfer *‡. Paul Singer †. Sa š a Prelov š ek *‡. Jure Zupan ‡. Anita Prapotnik ‡. * Faculty of Mathematics and Physics ( Univ . of Ljubljana ) ‡ J. Stefan Institute, Ljubljana, Slovenia.

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Rare Decays of D Mesons

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  1. Rare Decays of D Mesons Svjetlana Fajfer *‡ Paul Singer† Saša Prelovšek*‡ Jure Zupan‡ Anita Prapotnik‡ * Faculty of Mathematics and Physics (Univ. ofLjubljana) ‡J. Stefan Institute, Ljubljana, Slovenia †Department of Physics, Technion – Israel Institute of Technology, Haifa, Israel

  2. • FCNC cu  , c  u , c  u transitions in SM and beyond • short distance contributions • long distance contributions  V  decays • D • D  V(P) decays • D decays • D  K  decays • Conclusions

  3. • c  u  transition QCD enhancement • the c  u  rate can be enhanced by factor of 100 in MSSM (gluino exchange) compared to the QCD corrected SM prediction

  4. The Standard Model and MSSM c MSSM

  5. The gluino exchange diagrams give largest enhancement

  6. the long distance effects arise due to the effective weak Lagrangian the effective Wilson coefficients

  7. The chiral Lagrangian for the light and heavy pseudoscalar and vector mesons ƒ= 132 MeV, a = 2 for vector meson dominannce

  8. The bosonized weak currents are the relevant parameters are fixed by using the data decay and

  9. SD and LD contributions

  10. the search for FCNC c  u  c  u  The best candidate to see the effects of the transition is decay – the SD contributions dominate LD

  11. P (V)  * The long distance contributions in D

  12. The branching ratios

  13. The amplitude The decay width Wilson coefficient We calculate the dominant contributions -

  14. The dominant short distance contribution accompanied by the photon emission from the quark legs

  15. these loop contributions are finite !

  16. can be determined

  17. Results The dominant loop contribution included we expect 50% uncertainty

  18. contributions like this one are possible, but we do not expect significant change of the rate G. Burdman et al. hep-ph/0112235

  19. The amplitude can be decomposed as

  20. our model experimental fit model calculation

  21. Summary • the long distance contributions dominate in D  V decays D  V(P) decays D decays D  K  decays • new physics effects in FCNC c  u  , c  u , c  u transitions possible to be seen

  22. • the c  u  rate can be enhanced by factor of 100 (MSSM) compared to the QCD corrected SM prediction • the c  u  rate can be probed in the decay or the difference of the decay rates • the c  u rate can be enhancnt by MSSM effects at large di-lepton masses in D decays • the observation of the D  rate larger than could be a signal of new physics • the comparison D  K 

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