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

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Presentation on theme: "Hadronic Decays of the TAU Lepton within RESONANCE CHIRAL THEORY (RcT)"— Presentation transcript:

1 Hadronic Decays of the TAU Lepton within RESONANCE CHIRAL THEORY (RcT)
t-  (2K p, K 2p)- nt Pablo Roig Garcés 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)- nt in 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)- nt in 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)- nt in 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)- nt in 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)- nt in 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)- nt in 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) Tree level diagrams Off-shell width Matching the OPE t-  (2K p , K 2p)- nt in RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

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

10 Antisymmetric tensor formalism
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)- nt in RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

11 Instituto de Física Corpuscular
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)- nt in 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)- nt in RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

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

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

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

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

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

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

23 Instituto de Física Corpuscular
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)- nt in RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

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

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

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

31 Instituto de Física Corpuscular
OUTLOOK: t-  (h1 h2 h3 )- nt h1 h2 h3 mnt FA FV Vus, ms 3p 2K p K 2p 2p h p K h 3K (F  KK) t-  (2K p , K 2p)- nt in RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

32 Instituto de Física Corpuscular
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)- nt in RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

33 SKIPPED SLIDES

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

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

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

40 channels within RT - - ad-hoc PT at O(p2) PT at O(p4) FA FA F4V V
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)- nt in 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 • Insertion of our matrix elements for hadronic tau decays t-  (2K p , K 2p)- nt in RcT Pablo Roig Garcés Instituto de Física Corpuscular XII Spring School “Bruno Touschek” FlaviAnet

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

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