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Hadronic Decays of the TAU Lepton within RESONANCE CHIRAL THEORY ( R cT )

Hadronic Decays of the TAU Lepton within RESONANCE CHIRAL THEORY ( R cT ) t -  (2K p, K 2p) - n t. Pablo Roig Garcés Pablo.Roig@ific.uv.es Instituto de Física Corpuscular CSIC-UVEG València (Spain). XII Spring School “Bruno Touschek” INFN LNF Frascati FlaviAnet. SUMMARY:.

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Hadronic Decays of the TAU Lepton within RESONANCE CHIRAL THEORY ( R cT )

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  1. Hadronic Decays of the TAU Lepton within RESONANCE CHIRAL THEORY (RcT) t-(2K p, K 2p)-nt Pablo Roig Garcés Pablo.Roig@ific.uv.es Instituto de Física Corpuscular CSIC-UVEG València (Spain) XII Spring School “Bruno Touschek” INFN LNF Frascati FlaviAnet

  2. SUMMARY: • Hadronic decays of the t lepton • Tools : cPT, RcT, Large Nc (inspired) • Recent past : t-(p p p)- nt • Present: t-(2K p)- nt • Immediate future : t-(2p K)- nt • Outlook : (Gómez Dumm, Pich, Portolés ’04) (Gómez Dumm, Pich, Portolés, R. ’07 to appear) t-(h1h2h3) - nt t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  3. SUMMARY: • Hadronic decays of the t lepton • Tools : cPT, RcT, Large Nc (inspired) • Recent past : t-(p p p)- nt • Present: t-(2K p)- nt • Immediate future : t-(2p K)- nt • Outlook : (Gómez Dumm, Pich, Portolés ’04) (Gómez Dumm, Pich, Portolés, R. ’07 to appear) t-(h1h2h3) - nt h1h2h3=3K,2p h, Kph t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  4. HADRONIC DECAYS OF THE t LEPTON nt t- W - Tm=<Hadrons|(V-A)m eiSQCD|0>= =Si(Lorentz Structure)i Fi(Q2,sj) h1 . . . QCD Hadrons hn t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  5. HADRONIC DECAYS OF THE t LEPTON nt t- W - Tm=<Hadrons|(V-A)m eiSQCD|0>= =Si(Lorentz Structure)i Fi(Q2,sj) h1 . . . QCD Hadrons ? hn LQCD= LQCD (qi,Gma;gs,mi) t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  6. HADRONIC DECAYS OF THE t LEPTON nt t- W - Tm=<Hadrons|(V-A)m eiSQCD|0>= =Si(Lorentz Structure)i Fi(Q2,sj) h1 . . . QCD Hadrons hn EFT’s: cPT, RcT t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  7. TOOLS: EFFECTIVE FIELD THEORIES QCD EFT EFT Low energy expansion Intermediate region cPT 1/Nc (Gasser & Leutwyler ’84, ’85) (‘t Hooft ’74, Witten ‘79)  # 0-width resonances Tree level diagrams Matching the OPE t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  8. TOOLS: EFFECTIVE FIELD THEORIES QCD EFT EFT Low energy expansion Intermediate region cPT 1/Nc RcT (Gasser & Leutwyler ’84, ’85) (‘t Hooft ’74, Witten ‘79)  # 0-width resonances Only one 8 (SRA) Off-shell width Tree level diagrams Matching the OPE t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  9. TOOLS : cPT (Gasser & Leutwyler ’84, ’85) PT (Gasser, Leutwyler ’84, ’85) t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  10. TOOLS : RcT (Ecker, Gasser, Pich, De Rafael ‘89) (Ecker, Gasser, Leutwyler, Pich, De Rafael ‘89) Antisymmetric tensor formalism (Gómez Dumm, Pich, Portolés ’04) VMD (Ruiz-Femenía, Pich, Portolés ’03) (Gómez Dumm, Pich, Portolés, R. ’07 to appear) t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  11. TOOLS : RcT (Ecker, Gasser, Pich, De Rafael ‘89) (Ecker, Gasser, Leutwyler, Pich, De Rafael ‘89) V V j a m j A j a m t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  12. TOOLS : RcT (Gómez Dumm, Pich, Portolés ’04) A V j t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  13. TOOLS : RcT (Ruiz-Femenía, Pich, Portolés ’03) V v m j V V j t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  14. TOOLS : RcT (Gómez Dumm, Pich, Portolés, R. ’07 to appear) j V j j t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  15. HADRONIC DECAYS OF THE t LEPTON nt t- W - QCD h1 h2 h3 Hadrons (Kühn, Santamaría ’90)(KS) (Gómez-Cadenas, González-García, Pich ’90) (GGP) (Finkemeier, Mirkes ‘96)(FM) t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  16. HADRONIC DECAYS OF THE t LEPTON     F a m a m      V V GV, FV a m  a m      i V A a m    gi    ci di V V V V   v m v m v m v m       t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  17. RECENT PAST: t- (p p p)- nt t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  18. PRESENT: t- (2K p)- nt coming soon] Free c1235, d123, c4, g4, g5 t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  19. PRESENT: t- (2K p)- nt coming soon] Free c1235, d123, c4, g4, g5      t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  20. PRESENT: t- (2K p)- nt coming soon] Free c1235, d123, c4, g4, g5      t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  21. PRESENT: t- (2K p)- nt coming soon] XII Spring School “Bruno Touschek” FlaviAnet t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular

  22. PRESENT: t- (2K p)- nt coming soon] t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  23. PRESENT: t- (2K p)- nt coming soon] Experiment # of t pairs LEP 3·105 CLEO 1·107 BABAR 3·108 BELLE 5·108 LHC 1·1012 t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  24. PRESENT: t- (2K p)- nt (I. Nugent TAU06) t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  25. PRESENT: t- (2K p)- nt MC’s data Our Hadronic matrix elements (I. Nugent TAU06) t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  26. IMMEDIATE FUTURE: t-(2p K)- nt • Computation of hadronic matrix element within RcT • Required Brodsky-Lepage behaviour to both the axial-vector and vector form factors: Constraints among the couplings identical/compatible to those found for FA,FV in the 2K p-modes • Great sensitivity to the values of the K1 mass and on-shell width (axial-vector meson mixing) • We plan to use this computation to help extract Vus and ms • Agreement with BELLE to implement our expressions for the hadronic matrix element in their MC’s to analyze the data t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  27. IMMEDIATE FUTURE: t-(2p K)- nt All contributions Axial-Vector Vector (I. Nugent TAU06) t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  28. IMMEDIATE FUTURE: t-(2p K)- nt All contributions Preliminary Axial-Vector Vector (I. Nugent TAU06) t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  29. IMMEDIATE FUTURE: t-(2p K)- nt All contributions Preliminary Axial-Vector Vector (I. Nugent TAU06) t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  30. IMMEDIATE FUTURE: t-(2p K)- nt All contributions Preliminary Axial-Vector Vector MC’s data Our Hadronic matrix elements (I. Nugent TAU06) t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  31. OUTLOOK: t-  (h1h2h3 )- nt mnt h1h2h3 FA FV Vus,ms • 3p • 2K p • K 2p • 2p h • p K h • 3K (F KK) t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  32. CONCLUSIONS • Current analyses of t-  (3p-,K+K-p-) nt data using TAUOLA have shown noticeable inconsistencies. We would like to improve the hadronic matrix elements in TAUOLA. • We have studied these decays within RcT with a Large NC-inspired model guided by QCD. (Preliminary study of 2p K-modes) • Our results have been implemented in SHERPA (LHC and TEVATRON). • LHC, BABAR, BELLE, BES…are promising facilities to test our predictions. • The future looks even more promising and exciting: Vus,ms, mnt and, of course, hadronization of QCD currents. t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  33. SKIPPED SLIDES

  34. t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  35. t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  36. t-  K+K-p- nt CLEO VERSION (F. Liu ‘03, CLEO-III ’04) t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  37. t-  K+K-p- nt CLEO VERSION (F. Liu ‘03, CLEO-III ’04) t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  38. t-  K+K-p- nt CLEO VERSION (F. Liu ‘03, CLEO-III ’04) QCD 1.800.53 t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  39. t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  40. channels within RT PT at O(p2) PT at O(p4) FA FA F4V V A NV/NA Yes CLEO ‘04 1.5 This work  5 (Gómez-Cadenas, González-García, Pich ’90) - -  9 (Finkemeier, Mirkes ‘95)  0.4 ad-hoc t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  41. SHERPA (Simulation of High Energy Reactions of PArticles) •Institute for Theoretical Physics at TU Dresden (Germany) •Group Leader : Frank Krauss •Tevatron + LHC •http://www.physik.tu-dresden.de/~krauss/hep Insertion of our matrix elements for hadronic tau decays t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

  42. RESULTS t- K+ K- - nt t-(2K p , K 2p)- ntin RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

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