QCD & Physique Hadronique
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1 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 1/3 QCD & Physique Hadronique LUPM 11 (10-11 Octobre 2011) St Martin de Londres (Herault) Stephan Narison CNRS / IN2P3 - LUPM (Montpellier)
2 Vers l Infiniment Petit : Le Modèle Standard LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 2/3
3 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 2/3 Vers l Infiniment Petit : Le Modèle Standard 6 quarks 6 leptons constituents Glashow-Weinberg-Salam : Prix Nobel 1979
4 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 3/3 Quelles sont les Forces qui regissent la Nature? Forces electromagnetique, faible, forte & gravitation
5 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 4/3 G. t Hooft-M. Veltman Prix Nobel 1999 C. Rubbia V. Der Meer Prix Nobel 1984 D. Gross, D. Politzer, F. Wilczek Prix Nobel 2004 Chromodynamique Quantique (QCD)
6 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 5/3 Le Boson de Higgs 1 maillon manquant du modèle standard: La particule de Dieu?
7 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 5/3 Le Boson de Higgs 1 maillon manquant du modèle standard: La particule de Dieu? Donne des masses aux quarks, leptons, bosons de jauge On prédit sa masse autour de 100 GeV : visible au LHC! Sa (non) decouverte est cruciale pour l avenir de la physique
8 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 6/3 Les Hadrons des quarks u, d, s? Modèle des quarks de Gell-Mann (Prix Nobel 1969) a) Mesons : q 1 q 2 : M π = 140 MeV b) Baryons : q 1 q 2 q 3 : M p = 1 GeV Décrit maintenant par la Chromodynamique Quantique (QCD): La théorie de la Couleur
9 Les Series de Conference Internationales LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 7/3
10 Les Series de Conference Internationales QCD-Montpellier depuis 1985 (Euroconferences ) LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 7/3
11 Photo QCD 2010 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 8/3
12 HEP-MAD (Antananarivo) depuis 2001 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 9/3
13 Photo HEP-MAD 2011 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 10/3
14 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 11/3 Developpement de l HEP à Madagascar Creation de l Institut de recherche ihep-mad en 2004 Voir le site:
15 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 11/3 Developpement de l HEP à Madagascar Creation de l Institut de recherche ihep-mad en 2004 Voir le site: Vulgarisation: univs, centres culturels, lycées & collèges, presses,...
16 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 12/3 Exploration de l Infiniment Petit Accélerateur des particules: LHC au CERN
17 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 12/3 Exploration de l Infiniment Petit Accélerateur des particules: LHC au CERN Tunnel de 27km; 100m au-dessous du sol; Energie de 7000 GeV = 70 fois le LEP = 7 fois le Tevatron (peut fondre 500kg de cuivre); 600 miilions de choc proton/proton par sec et pendant toute la durée de l experience; Côut: 2.6 Milliards d Euros Milliard pour le personnel.
18 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 13/3 Exploration de l Infiniment Grand Fermi Gamma-ray Space Telescope Exploration du Cosmos dans la région : 10 kev-300 GeV Origine des rayons cosmiques Mecanisme de la matière noire (96% de l univers!) Accéleration de Jets de matière près des trous noirs...
19 Telescope HESS High Energy Stereoscopic System Le site et telescopes de Namibie (Afrique) (de Georges Vasileiadis) LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 14/3
20 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 15/3 Detection de rayons gamma cosmiques de Hautes Energies (TeV) γ e + e e + γe +... e γe... provenant des supernova ou du coeur des etoiles près des trous noirs au centre de la voie lactée à 15 millions d année-lumière Supernova Cassiopeia Crabe Nebula Cygnus A explosion en 1680 explosion en 1054, decouv. en 1989 decouv. en 1939
21 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 16/3 Telescope ESO European Southern Observatory Le site de Paranal: désert de Chili (de Edmond Giraud) Etude d amas de galaxies et d étoiles à 50 millions d annèes lumière
22 Les élèves et les enseignants LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 17/3
23 Collaborateurs & Contrats LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 18/3
24 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 18/3 Collaborateurs & Contrats Aspects formels de QCD: Expansion de Wilson, AdS,... V.I. Zakharov (Moscou), F.Jugeau (Post-Doc - Beijing), H. Ratsimbarison (Post-Doc - Antananarivo).
25 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 18/3 Collaborateurs & Contrats Aspects formels de QCD: Expansion de Wilson, AdS,... V.I. Zakharov (Moscou), F.Jugeau (Post-Doc - Beijing), H. Ratsimbarison (Post-Doc - Antananarivo). Mesons scalaires legers et glueballs R. Kaminski (Cracovie): Contrat Pics IN2P3-Pologne G. Mennessier (Montpellier), G. Wang (Post-Doc - Beijing).
26 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 18/3 Collaborateurs & Contrats Aspects formels de QCD: Expansion de Wilson, AdS,... V.I. Zakharov (Moscou), F.Jugeau (Post-Doc - Beijing), H. Ratsimbarison (Post-Doc - Antananarivo). Mesons scalaires legers et glueballs R. Kaminski (Cracovie): Contrat Pics IN2P3-Pologne G. Mennessier (Montpellier), G. Wang (Post-Doc - Beijing). Hadrons lourds et Exotiques (tetraquarks, molecules,..) J.M. Richard. (Grenoble): Contrat FAPESP R. Albuquerque (Sao Paulo - Cotutelle de thèse Montpellier): Contrat FAPESP M. Nielsen & F. Navarra (Sao Paulo): Contrat FAPESP C. Zanetti (Post-Doc - Sao Paulo) F. Fanomezana & A. Rabemananjara (Doctorants - Antananarivo),
27 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 18/3 Collaborateurs & Contrats Aspects formels de QCD: Expansion de Wilson, AdS,... V.I. Zakharov (Moscou), F.Jugeau (Post-Doc - Beijing), H. Ratsimbarison (Post-Doc - Antananarivo). Mesons scalaires legers et glueballs R. Kaminski (Cracovie): Contrat Pics IN2P3-Pologne G. Mennessier (Montpellier), G. Wang (Post-Doc - Beijing). Hadrons lourds et Exotiques (tetraquarks, molecules,..) J.M. Richard. (Grenoble): Contrat FAPESP R. Albuquerque (Sao Paulo - Cotutelle de thèse Montpellier): Contrat FAPESP M. Nielsen & F. Navarra (Sao Paulo): Contrat FAPESP C. Zanetti (Post-Doc - Sao Paulo) F. Fanomezana & A. Rabemananjara (Doctorants - Antananarivo), Charmonium: desintegration & facteurs de forme J.M. Richard. (Grenoble): Lab. Franco-Chinois Z. Guo (Doctorant - Beijing): Lab. Franco-Chinois Q. Zhao (Beijing): Lab. Franco-Chinois
28 17 Publications en LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 19/3
29 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 19/3 17 Publications en Aspects formels de QCD: Expansion de Wilson, AdS,... Duality between QCD Perturbative Series and Power Corrections. S. N., V.I. Zakharov. Phys.Lett.B679: ,2009. SVZ sum rules : years later. S. N., Nucl.Phys.Proc.Suppl (2010)
30 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 19/3 17 Publications en Aspects formels de QCD: Expansion de Wilson, AdS,... Duality between QCD Perturbative Series and Power Corrections. S. N., V.I. Zakharov. Phys.Lett.B679: ,2009. SVZ sum rules : years later. S. N., Nucl.Phys.Proc.Suppl (2010) Condensats de gluons, α s et m c,b Gluon Condensates and m b (m b ) from Exponential sum rules at Higher Orders. S. N., e-print: arxiv: [hep-ph] (2011). Gluon Condensates and Precise m c,b from QCD-Moments to O(α 3 s ) and O( G 4 ). S. N., e-print: arxiv: [hep-ph] (2011). Gluon condensates and c, b quark masses from quarkonia ratios of moments. S. N., Phys.Lett. B693 (2010) Power corrections to α s (M τ ), V us and m s. S. N., Phys.Lett.B673:30-36,2009.
31 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 19/3 17 Publications en Aspects formels de QCD: Expansion de Wilson, AdS,... Duality between QCD Perturbative Series and Power Corrections. S. N., V.I. Zakharov. Phys.Lett.B679: ,2009. SVZ sum rules : years later. S. N., Nucl.Phys.Proc.Suppl (2010) Condensats de gluons, α s et m c,b Gluon Condensates and m b (m b ) from Exponential sum rules at Higher Orders. S. N., e-print: arxiv: [hep-ph] (2011). Gluon Condensates and Precise m c,b from QCD-Moments to O(α 3 s ) and O( G 4 ). S. N., e-print: arxiv: [hep-ph] (2011). Gluon condensates and c, b quark masses from quarkonia ratios of moments. S. N., Phys.Lett. B693 (2010) Power corrections to α s (M τ ), V us and m s. S. N., Phys.Lett.B673:30-36,2009. Mesons scalaires legers et gluonium Substructure of the sigma(600) and f 0 (980) from gamma-gamma scattering G. Mennessier, S. N., X.-G. Wang (Beijing), Phys.Lett. B696 (2011) The sigma and f 0 (980) from Ke 4 + π π scatterings data G. Mennessier, S. N., X.-G. Wang (Beijing), Phys.Lett.B688:59-66,2010. Gluonium nature of the σ/ f 0 (600) from its coupling to K K. R. Kaminski (Cracow), G. Mennessier, S. N., Phys.Lett.B680: ,2009.
32 Baryons lourds Mass-splittings of triple heavy baryons in QCD S. N., R. Albuquerque (Montpellier & Sao Paulo) (a paraitre) Mass-splittings of doubly heavy baryons in QCD S. N., R. Albuquerque (Montpellier & Sao Paulo), Phys.Lett. B694 (2010) SU(3) mass-splittings of the heavy-baryons in QCD. R.M. Albuquerque, M. Nielsen (Sao Paulo), S.N. Phys.Lett. B684 (2010) LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 20/3
33 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 20/3 Baryons lourds Mass-splittings of triple heavy baryons in QCD S. N., R. Albuquerque (Montpellier & Sao Paulo) (a paraitre) Mass-splittings of doubly heavy baryons in QCD S. N., R. Albuquerque (Montpellier & Sao Paulo), Phys.Lett. B694 (2010) SU(3) mass-splittings of the heavy-baryons in QCD. R.M. Albuquerque, M. Nielsen (Sao Paulo), S.N. Phys.Lett. B684 (2010) Hadrons Exotiques: hybrid, tetraquarks, molecules 1 + light exotic mesons in QCD. S. N. Phys.Lett. B675 (2009) and 0 ++ heavy tetraquarks and molecules from QCD. R. Albuquerque, F. Fanomezana, S. N., A. Rabemananjara, C. Zanetti (a paraitre) Relation between Tcc,bb and Xc,b from QCD. J.M. Dias, S. N., F.S. Navarra, M. Nielsen, J.-M. Richard, Phys.Lett. B703 (2011) On the nature of the X(3872) from QCD. S. N., F.S. Navarra, M. Nielsen (Sao Paulo U.), Phys.Rev. D83 (2011)
34 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 20/3 Baryons lourds Mass-splittings of triple heavy baryons in QCD S. N., R. Albuquerque (Montpellier & Sao Paulo) (a paraitre) Mass-splittings of doubly heavy baryons in QCD S. N., R. Albuquerque (Montpellier & Sao Paulo), Phys.Lett. B694 (2010) SU(3) mass-splittings of the heavy-baryons in QCD. R.M. Albuquerque, M. Nielsen (Sao Paulo), S.N. Phys.Lett. B684 (2010) Hadrons Exotiques: hybrid, tetraquarks, molecules 1 + light exotic mesons in QCD. S. N. Phys.Lett. B675 (2009) and 0 ++ heavy tetraquarks and molecules from QCD. R. Albuquerque, F. Fanomezana, S. N., A. Rabemananjara, C. Zanetti (a paraitre) Relation between Tcc,bb and Xc,b from QCD. J.M. Dias, S. N., F.S. Navarra, M. Nielsen, J.-M. Richard, Phys.Lett. B703 (2011) On the nature of the X(3872) from QCD. S. N., F.S. Navarra, M. Nielsen (Sao Paulo U.), Phys.Rev. D83 (2011) Charmonium: desintegration & facteurs de forme The branching ratio ψ(3770) J/ψ+π 0 in QCD Z.-K. Guo, S.N., J.-M. Richard, Q. Zhao (à paraitre)
35 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 21/3 Quantification sur le cone de lumière, renormalization Pierre Grangé, E. Werner,...
36 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 22/3 SVZ Non-Perturbative Sum Rules alternative to Lattice calculations One of the Outstanding Discoveries of the 20th century Shifman Vainshtein Zakharov : Sakurai s price 1999
37 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 23/3 Bridge between High AND Low energy QCD regions Z Π H (Q 2 q 2 ) i d 4 x 0 T J H (x)j H (0) 0 = Z t< dt t + Q 2 ImΠ(t)+subtraction terms + iε QCD OPE = EXP DATA J H (x) : Hadronic current ψγψ, ψψψ, α s G 2, g ψgψ, ψγ 1 ψ ψγ 2 ψ,...
38 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 24/3 Different Forms of the Sum Rules Improvement of the dispersion relation Exponential (Borel/Laplace) SVZ MomentsL i (τ) = Z t < dt exp tτ Im i Π(t) RatioR i (τ) d dτ logl i(τ) M 2 R i Resonance Mass 2 Double Ratio R 1 R 2 M R 1 M R2 Resonance Mass splitting exponential enhances the low energy contribution.
39 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 24/3 Different Forms of the Sum Rules Improvement of the dispersion relation Exponential (Borel/Laplace) SVZ MomentsL i (τ) = Z t < dt exp tτ Im i Π(t) RatioR i (τ) d dτ logl i(τ) M 2 R i Resonance Mass 2 Double Ratio R 1 R 2 M R 1 M R2 Resonance Mass splitting exponential enhances the low energy contribution. Moments & FESR M n = Z tc Moments : n 0 heavy quarks SVZ t < dt t n ImΠ(t) FESR : n 0 light quarks Lugunov-Soloviev-Tavkhelidze 67, Bramon-Etim-Greco 72, Shankar 77, Floratos-SN-de Rafael 79,... not accurate for extracting power corrections : of large numbers
40 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 25/3 The Adler function in e + e D(Q 2 ) mesurable in e + e γ, Z Hadrons process D(Q 2 ) Q 2 d dq 2 Π(Q2 ) = 1 12π 2 DM2, LEP, CLEO, BABAR, BELLE, BES Z t < ds R(s) (s+q 2 ) 2 B. Richter, S. Ting Prix Nobel 1976 : decouverte du J/ψ
41 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 26/3 The SVZ-OPE for the Adler function D(Q 2 ) known in QCD using the SVZ-OPE D(Q 2 ) Q 2 d dq 2 Π(Q2 ) = p=0,1,2,... C 2p 0 O 2p 0 Q 2p
42 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 26/3 The SVZ-OPE for the Adler function D(Q 2 ) known in QCD using the SVZ-OPE D(Q 2 ) Q 2 d dq 2 Π(Q2 ) = p=0,1,2,... C 2p 0 O 2p 0 Q 2p Anatomy of the OPE in terms of QCD parameters p = 0: usual PT series (a s α s /π): C 0 n c n α n s = 1+a s a 2 s a 3 s a 4 s+ N n>n c n α n s?? p = 1: m 2 q: small corrections p = 2: α s G 2, m q ψ q ψ q : gluon and quark condensates p = 3: α s ψ q ψ q 2 : four-quark condensates
43 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 27/3 Theoretical Progresses 1st Step Quant. Mec. & Non-Rel. Bell-Bertlmann (BB), NSVZ 81
44 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 27/3 Theoretical Progresses 1st Step Quant. Mec. & Non-Rel. Bell-Bertlmann (BB), NSVZ 81 Radiative corrections into Exponential SR : Inverse Laplace NOT Borel transform SN- de Rafael 1981
45 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 28/3 2nd Step Mixing of operators under renormalization Tarrach 82, Espriu-Tarrach 82, SN-Tarrach 83,... Absorption of Mass singularities into the quark condensate Becchi-SN-de Rafael-Yndurain (BNRY) 81, Broadhurst-Generalis (BG) 84, Bagan-Latorre-Pascual 86, BNP 92, Jamin-Munz 95, Chetyrkin-Steinhauser 01 High-dimension gluon condensates Nikolaev-Radyushkin (NR) 83, BG 84, Bagan-Pascual-Tarrach 85,... Higher order PT corrections Chetyrkin et al...
46 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 28/3 2nd Step Mixing of operators under renormalization Tarrach 82, Espriu-Tarrach 82, SN-Tarrach 83,... Absorption of Mass singularities into the quark condensate Becchi-SN-de Rafael-Yndurain (BNRY) 81, Broadhurst-Generalis (BG) 84, Bagan-Latorre-Pascual 86, BNP 92, Jamin-Munz 95, Chetyrkin-Steinhauser 01 High-dimension gluon condensates Nikolaev-Radyushkin (NR) 83, BG 84, Bagan-Pascual-Tarrach 85,... Higher order PT corrections Chetyrkin et al... 3rd step ChPT constraints on the pion spectral function Bijnens-Prades-de Rafael 95 Question on duality violation for spectral function Shifman 00, Cata-Golterman-Peris 09, G-Alonso-Prades-Pich, de Rafael,
47 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 29/3 Large order terms: N n>n c n α n s IR renormalon chain? c n n! : usual folklore: eaten by the PT part of α s G 2
48 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 29/3 Large order terms: N n>n c n α n s IR renormalon chain? c n n! : usual folklore: eaten by the PT part of α s G 2 UV renormalon (large β approximation)? c n alternate signs : not yet seen here at α 4 s nor in the lattice calculation of α s G 2 to order α 16 s! Rakow
49 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 29/3 Large order terms: N n>n c n α n s IR renormalon chain? c n n! : usual folklore: eaten by the PT part of α s G 2 UV renormalon (large β approximation)? c n alternate signs : not yet seen here at α 4 s nor in the lattice calculation of α s G 2 to order α 16 s! Rakow Geometric sum instead? (no sign of IR renormalon!) c n ( cn 1 c n 2 )c n 1 : pert. calc. too (α 4 s) Chetyrkin et al. ; Lattice calc. α s G 2 too (α 16 s ) Rakow
50 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 29/3 Large order terms: N n>n c n α n s IR renormalon chain? c n n! : usual folklore: eaten by the PT part of α s G 2 UV renormalon (large β approximation)? c n alternate signs : not yet seen here at α 4 s nor in the lattice calculation of α s G 2 to order α 16 s! Rakow Geometric sum instead? (no sign of IR renormalon!) c n ( cn 1 c n 2 )c n 1 : pert. calc. too (α 4 s) Chetyrkin et al. ; Lattice calc. α s G 2 too (α 16 s ) Rakow Dual to 1/Q 2 from a tachyonic gluon mass at short distance? n>n c n α n s Ca s λ 2 /Q 2 λ 2 0 : N 10 Lattice Zakharov-Gubarev-Polikarpov, Chetyrkin-SN-Zakharov 95, SN-Zakharov 09 Short PT series + power corrections long PT series.
51 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 30/3 Traditional Hadron Phenomenology Impressive wide areas of applications: kalashnikov! ρ meson, gluon condensate, charm mass since 1979: SVZ Meson spectroscopy since Reinders-Rubinstein-Yazaki 81 Light quark masses since Becchi-SN-de Rafael-Yndurain 81, SN-Paver-de Rafael-Treleani 83,... Corrections to π and K PCAC SN 81, Dominguez-de Rafael 87, SN book 89,... Heavy quark masses since SVZ 79, SN 87, Chetyrkin et al, Ioffe-Zyablyuk, SN 10,..., Light Baryons since 1981: Ioffe, Dosch et al. Heavy Baryons Bagan-Chabab-Dosch-SN 92-93, Albuquerque et al., Chinese groups,... Gluonium since Novikov SVZ 80, SN 83, SN-Veneziano 89 Light Hybrids Latorre-Pascual-SN 87, Chetyrkin-SN 00, SN 09 Heavy Hybrids Govaerts-Reinders-Rubinstein-Weyers 85, SN-book 04 Four-quarks, molecules Latorre-Pascual 85, SN 86; Sao Paolo, Chinese,...; Matheus-SN-Nielsen-Richard 07 Hadronic decays Vertex Navarra et al... Light Cone De Fazio τ-decay BNP 92, Pich-Lediberder, Prades-Pich, G.-Alonso, Valenzuela Thermal Hadron Bochkarev-Shaposhnikov 86, Dosch-SN 88, Loewe et al.
52 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 30/3 Traditional Hadron Phenomenology Impressive wide areas of applications: kalashnikov! ρ meson, gluon condensate, charm mass since 1979: SVZ Meson spectroscopy since Reinders-Rubinstein-Yazaki 81 Light quark masses since Becchi-SN-de Rafael-Yndurain 81, SN-Paver-de Rafael-Treleani 83,... Corrections to π and K PCAC SN 81, Dominguez-de Rafael 87, SN book 89,... Heavy quark masses since SVZ 79, SN 87, Chetyrkin et al, Ioffe-Zyablyuk, SN 10,..., Light Baryons since 1981: Ioffe, Dosch et al. Heavy Baryons Bagan-Chabab-Dosch-SN 92-93, Albuquerque et al., Chinese groups,... Gluonium since Novikov SVZ 80, SN 83, SN-Veneziano 89 Light Hybrids Latorre-Pascual-SN 87, Chetyrkin-SN 00, SN 09 Heavy Hybrids Govaerts-Reinders-Rubinstein-Weyers 85, SN-book 04 Four-quarks, molecules Latorre-Pascual 85, SN 86; Sao Paolo, Chinese,...; Matheus-SN-Nielsen-Richard 07 Hadronic decays Vertex Navarra et al... Light Cone De Fazio τ-decay BNP 92, Pich-Lediberder, Prades-Pich, G.-Alonso, Valenzuela Thermal Hadron Bochkarev-Shaposhnikov 86, Dosch-SN 88, Loewe et al. SN books : WSC 89, Cambridge 04
53 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 31/3 PT QCD parameters Param Values Sources QCD coupling α s (M Z ) (10) τ-decay SN 09 [ (27) Z-width] Running Q. Masses [MeV]O (α 3 s) m u (2 GeV) (2.8 ± 0.2) average SN09 m d (2 GeV) (5.1 ± 0.2) " m s (2 GeV) (96.1 ± 4.8) " (10) average (Bethke, PDG) m c (m c ) (1261 ± 16) J/ψ Q 2 -mom SN10, SN11 m b (m b ) (4177 ± 11) ϒ Q 2 & Exp-mom SN10, SN11
54 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 32/3 SVZ power corrections SNB 04 Chap. 27 d NPQCD param. Values [GeV]d Sources ūu+ dd (2) -(0.254 ±.015) 3 (pseudo)scal, GMOR: δ π ± 0.5 (6.2 ± 1.6) LSR (less sens α s ) FESR dd / ūu non-norm. ord.(pseudo)scal, ss / dd 0.74 ± 0.03 non-norm. ord.(pseudo)scal light & heavy baryons 4 α s G 2 (7 ± 1)10 2 e + e, ϒ η b, J/ψ LSR Lattice Adriano 85, Rakow 09 τ : unconclusive 5 λ g ψσ a µν 2 ψgµν a M0 2 M0 2α1/3β 1 s ψψ = (0.80 ± 0.02) Light baryons, B, B 6 g 3 f abc G a G b G c (8.2 ± 1.0) α s G 2 J/ψ-LSR SN10 ρα s ψψ 2 (4.5 ± 0.3)10 4 ρ = 2.1 ± 0.2
55 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 33/3 Correlated Estimate of 1/Q 2 1/Q 2 term : tachyonic gluon mass SN95a, 95b, 09 Channels (α s /π)λ 2 in GeV e + e data R (τ) 6.5 ± 0.5 π sum rule L π 12 ± 6 Average 7 ± 3 τ-decay : large β 4 1 PT series Fixed Order PT 2.6 ± 0.8 Contour Improved 5.9 ± 0.8
56 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 34/3 Effect of 1/Q 2 on α s from τ-decays α s from τ-decay SN09 R τ Γ(τ ν τ + hadrons S=0 ) Γ(τ l + ν l + ν τ ) = 3 V ud 2 S EW (1+δ (0) + δ EW + δ (2) m + δ svz + δ NST ) Corrections Size 10 3 δ svz = 8 4 δ(d) (7.8 ± 1.0) δ ST δ svz + δ (2) m + δ π + δ a0 (10.9 ± 1.1) δ inst (0.7 ± 2.7)/20 δ DV δ tach large β 4 1 PT (15 ± 9) Cata-Golterman-Peris (17 ± 5) FO (39 ± 5) CI δ NST δ inst + δ DV + δ tach (2.0 ± 9.4) FO (24.0 ± 10.6) CI
57 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 35/3 R τ,v+a exp = ± = α s (M τ ) = (34) ex (10) st (85) nst FO = (48) ex (14) st (121) nst CI = PT α s (M τ ) α s (M Z ) Ref. FO (34) ex (86) th (4) ex (10) th (2) ev SN 09 CI (48) ex (122) th (6) ex (15) th (2) ev (29) ex (75) th (4) ex (9) th (2) ev Z (27) ex (2) th BCK, DAVIER et al (10) BETHKE, PDG
58 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 36/3 Conclusions & Future Developments Improvment of some results: inclusion of α s corrections
59 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 36/3 Conclusions & Future Developments Improvment of some results: inclusion of α s corrections Double ratio of moments appropriate for extracting small hadron-mass splittings, α s G 2,...
60 LUPM11, St Martin de Londres (10-11 Octobre 2011) p. 36/3 Conclusions & Future Developments Improvment of some results: inclusion of α s corrections Double ratio of moments appropriate for extracting small hadron-mass splittings, α s G 2,... What we usually know about IR (n! div) and UV (large β approx: alternate signs) renormalons can be wrong! : geometric series instead?
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