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

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Presentation transcript:

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

SKIPPED SLIDES

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

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

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

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

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

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

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

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

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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