Upgraded breaking of the HLS model: A full solution to the τ-e +e- and φ decay issues and its consequences on g-2 VMD estimates

European Physical Journal C

Volumn 72, Issue 1, 2012, Pages 1-52

  Benayoun, M ^a   David, P ^a   DelBuono, L ^a   Jegerlehner, F ^b,c  

^a UNIVERSITÉ PARIS DIDEROT   (France)

^b HUMBOLDT UNIVERSITY   (Germany)

^c DESY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84855163846     PISSN: 14346044     EISSN: 14346052     Source Type: Journal    
DOI: 10.1140/epjc/s10052-011-1848-2     Document Type: Article

References (115)

1. G. W. Bennett et al. (Muon g-2), Final report of the muon E821 anomalous magnetic moment measurement at BNL. Phys. Rev. D 73, 072003 (2006). hep-ex/0602035.
2. B. L. Roberts, Status of the fermilab muon (g-2) experiment. Chin. Phys. C 34, 741 (2010). 1001. 2898.
3. 3. Phys. Rev. D 75, 013002 (2007). hep-ph/0606174.
4. F. Jegerlehner, A. Nyffeler, The Muon g-2. Phys. Rep. 477, 1 (2009). 0902. 3360.
5. J. Prades, E. de Rafael, A. Vainshtein, Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment, in Lepton Dipole Moments, ed. by B. L. Roberts, W. J. Marciano. Advanced Series on Directions in High Energy Physics, vol. 20 (World Scientific, Singapore, 2010), p. 303. 0901. 0306.
6. C. Aubin, T. Blum, Calculating the hadronic vacuum polarization and leading hadronic contribution to the muon anomalous magnetic moment with improved staggered quarks. Phys. Rev. D 75, 114502 (2007). hep-lat/0608011.
7. M. Della Morte, B. Jäger, A. Jüttner, H. Wittig, The leading hadronic vacuum polarisation on the lattice (2010). 1011. 5793.
8. X. Feng, K. Jansen, M. Petschlies, D. B. Renner, Two-flavor QCD correction to lepton magnetic moments at leading-order in the electromagnetic coupling (2011). 1103. 4818.
9. Z). Z. Phys. C 67, 585 (1995). hep-ph/9502298.
10. K. Nakamura et al. (Particle Data Group), Review of particle physics. J. Phys. G 37, 075021 (2010).
11. Z). Nucl. Phys. Proc. Suppl. 126, 325 (2004). hep-ph/0310234.
12. M. Davier, The hadronic contribution to (g-2)(μ). Nucl. Phys. Proc. Suppl. 169, 288 (2007). hep-ph/0701163.
13. - spectral functions revisited and the consequences for the muon magnetic anomaly. Eur. Phys. J. C 66, 127 (2010). 0906. 5443.
14. Z). Eur. Phys. J. C 71, 1515 (2011). 1010. 4180.
15. F. Jegerlehner, Essentials of the Muon g-2. Acta Phys. Pol. B 38, 3021 (2007). hep-ph/0703125.
16. - with τ spectral functions. Eur. Phys. J. C 71, 1632 (2011). 1101. 2872.
17. ππ< 0. 975 GeV. AIP Conf. Proc. 1182, 665 (2009). 0906. 4331.
18. -(γ) cross section with the initial state radiation method at BABAR. Phys. Rev. Lett. 103, 231801 (2009). 0908. 3589.
19. 2 using initial state radiation with the KLOE detector. Phys. Lett. B 700, 102 (2011). 1006. 5313.
20. G. Ecker, J. Gasser, A. Pich, E. de Rafael, The role of resonances in chiral perturbation theory. Nucl. Phys. B 321, 311 (1989).
21. G. Ecker, J. Gasser, H. Leutwyler, A. Pich, E. de Rafael, Chiral Lagrangians for massive spin 1 fields. Phys. Lett. B 223, 425 (1989).
22. M. Bando, T. Kugo, K. Yamawaki, Nonlinear realization and hidden local symmetries. Phys. Rep. 164, 217 (1988).
23. M. Harada, K. Yamawaki, Hidden local symmetry at loop: A new perspective of composite gauge boson and chiral phase transition. Phys. Rep. 381, 1 (2003). hep-ph/0302103.
24. M. Benayoun, P. David, L. DelBuono, O. Leitner, A global treatment of VMD physics up to the φ: II. Tau decay and hadronic contributions to g-2. Eur. Phys. J. C 68, 355 (2010). 0907. 5603.
25. H. Leutwyler, Electromagnetic form-factor of the pion, in Continuous Advances in QCD, Minneapolis, 2002 (2002), p. 23. hep-ph/0212324.
26. μ below 1 GeV. Nucl. Phys. Proc. Suppl. 131, 185 (2004). hep-ph/0312017.
27. μ. Nucl. Phys. Proc. Suppl. 162, 256 (2006).
28. T. Fujiwara, T. Kugo, H. Terao, S. Uehara, K. Yamawaki, Nonabelian anomaly and vector mesons as dynamical gauge bosons of hidden local symmetries. Prog. Theor. Phys. 73, 926 (1985).
29. 0. J. Phys. G 36, 085008 (2009). 0803. 3412.
30. 0 pair in electron-positron annihilation (2010). 1012. 2455.
31. M. Bando, T. Kugo, K. Yamawaki, On the vector mesons as dynamical gauge bosons of hidden local symmetries. Nucl. Phys. B 259, 493 (1985).
32. A. Bramon, A. Grau, G. Pancheri, Effective chiral Lagrangians with an SU(3) broken vector meson sector. Phys. Lett. B 345, 263 (1995). hep-ph/9411269.
33. A. Bramon, A. Grau, G. Pancheri, Radiative vector meson decays in SU(3) broken effective chiral Lagrangians. Phys. Lett. B 344, 240 (1995).
34. M. Benayoun, H. B. O'Connell, SU(3) breaking and hidden local symmetry. Phys. Rev. D 58, 074006 (1998). hep-ph/9804391.
35. G. 't Hooft, How instantons solve the U(1) problem. Phys. Rep. 142, 357 (1986).
36. M. Benayoun, L. DelBuono, S. Eidelman, V. N. Ivanchenko, H. B. O'Connell, Radiative decays, nonet symmetry and SU(3) breaking. Phys. Rev. D 59, 114027 (1999). hep-ph/9902326.
37. M. Benayoun, P. David, L. DelBuono, P. Leruste, H. B. O'Connell, Anomalous η/η′ decays: The triangle and box anomalies. Eur. Phys. J. C 31, 525 (2003). nucl-th/0306078.
38. M. Benayoun, L. DelBuono, H. B. O'Connell, VMD, the WZW Lagrangian and ChPT: The third mixing angle. Eur. Phys. J. C 17, 593 (2000). hep-ph/9905350.
39. 0, ω, φ) mixing approach. Eur. Phys. J. C 55, 199 (2008). 0711. 4482 [hep-ph].
40. S. Schael et al. (ALEPH), Branching ratios and spectral functions of tau decays: Final ALEPH measurements and physics implications. Phys. Rep. 421, 191 (2005). hep-ex/0506072.
41. τ decay. Phys. Rev. D 78, 072006 (2008). 0805. 3773.
42. τ. Phys. Rev. D 61, 112002 (2000). hep-ex/9910046.
43. W. Cottingham, The neutron proton mass difference and electron scattering experiments. Ann. Phys. 25, 424 (1963).
44. H. Harari, Superconvergent dispersion relations and electromagnetic mass differences. Phys. Rev. Lett. 17, 1303 (1966).
45. H. Leutwyler, private communication.
46. - annihilations, anomalies and vector meson partial widths. Eur. Phys. J. C 65, 211 (2010). 0907. 4047.
47. 0. Phys. Lett. B 486, 406 (2000). hep-ph/0003273.
48. K. Maltman, H. B. O'Connell, A. G. Williams, Analysis of ρ-ω interference in the pion form factor. Phys. Lett. B 376, 19 (1996). hep-ph/9601309.
49. μ/2. Phys. Rev. D 80, 114024 (2009). 0908. 2391.
50. c, in Nonperturbative Methods in Quantum Field Theory, Adelaide, 1998 (1998), p. 15. hep-ph/9806336.
51. H. Leutwyler, On the 1/N-expansion in chiral perturbation theory. Nucl. Phys. Proc. Suppl. 64, 223 (1998). hep-ph/9709408.
52. M. Benayoun, H. B. O'Connell, A. G. Williams, Vector meson dominance and the ρ meson. Phys. Rev. D 59, 074020 (1999). hep-ph/9807537.
53. -γ and evidence for the box anomaly. Phys. Lett. B 402, 195 (1997).
54. T. Feldmann, Quark structure of pseudoscalar mesons. Int. J. Mod. Phys. A 15, 159 (2000). hep-ph/9907491.
55. M. Harada, J. Schechter, Effects of symmetry breaking on the strong and electroweak interactions of the vector nonet. Phys. Rev. D 54, 3394 (1996). hep-ph/9506473.
56. M. Hashimoto, Hidden local symmetry for anomalous processes with isospin/SU(3) breaking effects. Phys. Rev. D 54, 5611 (1996). hep-ph/9605422.
57. W. M. Yao et al. (Particle Data Group), Review of particle physics. J. Phys. G 33, 1 (2006).
58. J. Gasser, H. Leutwyler, Chiral perturbation theory: Expansions in the mass of the strange quark. Nucl. Phys. B 250, 465 (1985).
59. T. Feldmann, P. Kroll, B. Stech, Mixing and decay constants of pseudoscalar mesons: The sequel. Phys. Lett. B 449, 339 (1999). hep-ph/9812269.
60. E. G. J. F. Donoghue, B. Holstein, Dynamics of the Standard Model. Cambridge Monographs on Particle Physics, Nuclear Physics and Cosmology (Cambridge University Press, Cambridge, 1994).
61. H. Leutwyler, Implications of η-η′ mixing for the decay η→3π. Phys. Lett. B 374, 181 (1996). hep-ph/9601236.
62. 0 mixing as an alternative to unified weak electromagnetic gauge theories. Nucl. Phys. B 143, 81 (1978).
63. F. Byron, R. Fuller, Mathematics of Classical and Quantum Physics (Addison-Wesley, Reading, 1965). Reedition: Dover, 1992.
64. H. B. O'Connell, K. Maltman, A. W. Thomas, A. G. Williams, Near threshold isospin violation in the pion form-factor from chiral perturbation theory (1997). hep-ph/9707404.
65. H. B. O'Connell, B. C. Pearce, A. W. Thomas, A. G. Williams, Constraints on the momentum dependence of ρ-ω mixing. Phys. Lett. B 336, 1 (1994). hep-ph/9405273.
66. F. Klingl, N. Kaiser, W. Weise, Effective Lagrangian approach to vector mesons, their structure and decays. Z. Phys. A 356, 193 (1996). hep-ph/9607431.
67. - decay. Nucl. Phys. B 9, 451 (1969).
68. 0. Phys. Rev. D 63, 072002 (2001).
69. R. R. Akhmetshin et al., Measurement of φ(1020) meson leptonic width with CMD-2 detector at VEPP-2M Collider. Phys. Lett. B 695, 412 (2011). 1010. 4878.
70. J. Wess, B. Zumino, Consequences of anomalous Ward identities. Phys. Lett. B 37, 95 (1971).
71. E. Witten, Global aspects of current algebra. Nucl. Phys. B 223, 422 (1983).
72. G. Morpurgo, General parametrization of the V→Pγ meson decays. Phys. Rev. D 42, 1497 (1990).
73. E. A. Kuraev, Z. K. Silagadze, Once more about the ω→πππ contact term. Phys. At. Nucl. 58, 1589 (1995). hep-ph/9502406.
74. - cross section with CMD-2 around rho meson. Phys. Lett. B 527, 161 (2002). hep-ex/0112031.
75. R. R. Akhmetshin et al. (CMD-2), Reanalysis of hadronic cross section measurements at CMD-2. Phys. Lett. B 578, 285 (2004). hep-ex/0308008.
76. R. R. Akhmetshin et al. (CMD-2), High-statistics measurement of the pion form factor in the rho-meson energy range with the CMD-2 detector. Phys. Lett. B 648, 28 (2007). hep-ex/0610021.
77. - cross section with the CMD-2 detector in the 370-MeV-520-MeV cm energy range. JETP Lett. 84, 413 (2006). hep-ex/0610016.
78. - cross section measured by SND detector in the energy region 400-MeV < √s < 1000-MeV. J. Exp. Theor. Phys. 103, 380 (2006). hep-ex/0605013.
79. S. Eidelman, private communication.
80. L. M. Barkov et al., Electromagnetic pion form-factor in the timelike region. Nucl. Phys. B 256, 365 (1985).
81. A. Quenzer et al., Pion form-factor from 480-MeV to 1100-MeV. Phys. Lett. B 76, 512 (1978).
82. R. R. Akhmetshin et al. (CMD-2), Study of the radiative decay φ→ηγ with CMD-2 detector. Phys. Lett. B 460, 242 (1999). hep-ex/9907003.
83. -→ηγ in c. m. energy range 600-1380 MeV at CMD-2. Phys. Lett. B 509, 217 (2001). hep-ex/0103043.
84. 0γ→3γ in the c. m. energy range 600-1380 MeV at CMD-2. Phys. Lett. B 605, 26 (2005). hep-ex/0409030.
85. -→ηγ reaction cross section. Phys. Rev. D 76, 077101 (2007). 0709. 1007.
86. 0γ process in the energy region √s =0.60-0.97 GeV. Phys. Lett. B 559, 171 (2003). hep-ex/0302004.
87. 0γ at VEPP-2M. Eur. Phys. J. C 12, 25 (2000).
88. R. R. Akhmetshin et al., Measurement of phi meson parameters with CMD-2 detector at VEPP-2M collider. Phys. Lett. B 364, 199 (1995).
89. 0 decay with CMD-2 detector. Phys. Lett. B 434, 426 (1998).
90. 0 with CMD-2 detector. Phys. Lett. B 642, 203 (2006).
91. 0 in the energy region √s below 0. 98 GeV. Phys. Rev. D 68, 052006 (2003). hep-ex/0305049.
92. 0 in the energy region √s from 0. 98 to 1. 38 GeV. Phys. Rev. D 66, 032001 (2002). hep-ex/0201040.
93. - storage ring VEPP-2M. Phys. Rep. 202, 99 (1991).
94. L. M. Barkov et al. (CMD), BudkerINP preprint 89-15, Novosibirsk, 1989.
95. 0 for center-of-mass energies from 750-MeV to 1100-MeV. Nucl. Phys. B 172, 13 (1980).
96. C. Amsler et al. (Particle Data Group), Review of particle physics. Phys. Lett. B 667, 1 (2008).
97. R. R. Akhmetshin et al. (CMD-2), Reanalysis of hadronic cross section measurements at CMD-2. Phys. Lett. B 578, 285 (2004). hep-ex/0308008.
98. - cross section with the CMD-2 detector at VEPP-2M collider. Phys. Lett. B 669, 217 (2008). 0804. 0178.
99. -. Phys. Lett. B 474, 188 (2000). hep-ex/0001048.
100. G. D'Agostini, On the use of the covariance matrix to fit correlated data. Nucl. Instrum. Methods A 346, 306 (1994).
101. S. R. Amendolia et al. (NA7), A measurement of the space-like pion electromagnetic form-factor. Nucl. Phys. B 277, 168 (1986).
102. E. B. Dally et al., Elastic scattering measurement of the negative pion radius. Phys. Rev. Lett. 48, 375 (1982).
103. l2 decays. Phys. Rev. Lett. 71, 3629 (1993).
104. V. Cirigliano, G. Ecker, H. Neufeld, Isospin violation and the magnetic moment of the muon (2001). hep-ph/0109286.
105. V. Cirigliano, G. Ecker, H. Neufeld, Isospin violation and the magnetic moment of the muon. Phys. Lett. B 513, 361 (2001). hep-ph/0104267.
106. V. Cirigliano, G. Ecker, H. Neufeld, Radiative tau decay and the magnetic moment of the muon. J. High Energy Phys. 08, 002 (2002). hep-ph/0207310.
107. F. James, M. Roos, Minuit: A system for function minimization and analysis of the parameter errors and correlations. Comput. Phys. Commun. 10, 343 (1975).
108. G. Colangelo et al., Review of lattice results concerning low energy particle physics (2010). 1011. 4408.
109. C. A. Dominguez, Quark masses in QCD: A progress report (2011). 1103. 5864.
110. - cross section data from BABAR (2009). 0908. 4300.
111. 2. Phys. Lett. B 13, 454 (1984).
112. - for energies within the range from 0. 4 GeV to 0. 46 GeV. Yad. Fiz. 33, 709 (1981).
113. - at the energies 915 MeV, 990 MeV and 1076 MeV, 1976.
114. T. Aoyama, M. Hayakawa, T. Kinoshita, M. Nio, Tenth-order lepton anomalous magnetic moment-sixth-order vertices containing vacuum-polarization subdiagrams (2011). 1105. 5200.
115. Z) re-evaluated using new precise data (2011). 1105. 3149.