Four-flavour leading-order hadronic contribution to the muon anomalous magnetic moment the ETM collaboration

Journal of High Energy Physics

Volumn 2014, Issue 2, 2014, Pages

  Burger, Florian ^a   Feng, Xu ^b   Hotzel, Grit ^a   Jansen, Karl ^c,d   Petschlies, Marcus ^e   Renner, Dru B ^f  

^a HUMBOLDT UNIVERSITY   (Germany)

^b HIGH ENERGY ACCELERATOR RESEARCH ORGANIZATION KEK   (Japan)

^c DESY   (Germany)

^d UNIVERSITY OF CYPRUS   (Cyprus)

^e CYPRUS INSTITUTE   (Cyprus)

^f THOMAS JEFFERSON NATIONAL ACCELERATOR FACILITY   (United States)

Author keywords

Lattice QCD; Standard Model

Indexed keywords

EID: 84901449201     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP02(2014)099     Document Type: Article

References (34)

1. Muon G-2 collaboration, G. Bennett et al., Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL, Phys. Rev. D 73 (2006) 072003 [hep-ex/0602035] [INSPIRE].
2. B.L. Roberts, Status of the Fermilab Muon (g ? 2) Experiment, Chin. Phys. C 34 (2010) 741 [arXiv:1001.2898] [INSPIRE].
3. F. Jegerlehner and A. Nyffeler, The Muon g-2, Phys. Rept. 477 (2009) 1 [arXiv:0902.3360] [INSPIRE].
4. X. Feng, K. Jansen, M. Petschlies and D.B. Renner, Two-flavor QCD correction to lepton magnetic moments at leading-order in the electromagnetic coupling, Phys. Rev. Lett. 107 (2011) 081802 [arXiv:1103.4818] [INSPIRE].
5. D.B. Renner, X. Feng, K. Jansen and M. Petschlies, Nonperturbative QCD corrections to electroweak observables, PoS(LATTICE 2011)022 [arXiv:1206.3113] [INSPIRE].
6. S. Bodenstein, C. Dominguez and K. Schilcher, Hadronic contribution to the muon g-2: A Theoretical determination, Phys. Rev. D 85 (2012) 014029 [arXiv:1106.0427] [INSPIRE].
7. J. Prades, E. de Rafael and A. Vainshtein, Hadronic Light-by-Light Scattering Contribution to the Muon Anomalous Magnetic Moment, arXiv:0901.0306 [INSPIRE].
8. ETM collaboration, R. Baron et al., Light hadrons from lattice QCD with light (u,d), strange and charm dynamical quarks, JHEP 06 (2010) 111 [arXiv:1004.5284] [INSPIRE].
9. European Twisted Mass collaboration, R. Baron et al., Computing K and D meson masses with Nf = 2+1+1 twisted mass lattice QCD, Comput. Phys. Commun. 182 (2011) 299 [arXiv:1005.2042] [INSPIRE].
10. C. Aubin, T. Blum, M. Golterman and S. Peris, Model-independent parametrization of the hadronic vacuum polarization and g-2 for the muon on the lattice, Phys. Rev. D 86 (2012) 054509 [arXiv:1205.3695] [INSPIRE].
11. E. de Rafael, Hadronic contributions to the muon g-2 and low-energy QCD, Phys. Lett. B 322 (1994) 239 [hep-ph/9311316] [INSPIRE].
12. T. Blum, Lattice calculation of the lowest order hadronic contribution to the muon anomalous magnetic moment, Phys. Rev. Lett. 91 (2003) 052001 [hep-lat/0212018] [INSPIRE].
13. Y. Iwasaki, Renormalization Group Analysis of Lattice Theories and Improved Lattice Action: Two-Dimensional Nonlinear O(N) σ-model, Nucl. Phys. B 258 (1985) 141 [INSPIRE].
14. R. Frezzotti and G. Rossi, Chirally improving Wilson fermions. 1. O(a) improvement, JHEP 08 (2004) 007 [hep-lat/0306014] [INSPIRE].
15. R. Frezzotti and G. Rossi, Twisted mass lattice QCD with mass nondegenerate quarks, Nucl. Phys. Proc. Suppl. 128 (2004) 193 [hep-lat/0311008] [INSPIRE].
16. ETM collaboration, R. Baron et al., Light hadrons from Nf = 2 + 1 + 1 dynamical twisted mass fermions, PoS(LATTICE 2010)123 [arXiv:1101.0518] [INSPIRE].
17. K. Osterwalder and E. Seiler, Gauge Field Theories on the Lattice, Annals Phys. 110 (1978) 440 [INSPIRE].
18. R. Frezzotti and G. Rossi, Chirally improving Wilson fermions. II. Four-quark operators, JHEP 10 (2004) 070 [hep-lat/0407002] [INSPIRE].
19. K. Cichy, E. Garcia-Ramos, K. Jansen and A. Shindler, Computation of the chiral condensate using Nf = 2 and Nf = 2 + 1 + 1 dynamical flavors of twisted mass fermions, PoS(LATTICE 2013)128 [arXiv:1312.3534] [INSPIRE].
20. K. Cichy, E. Garcia-Ramos, K. Jansen and A. Shindler, Topological susceptibility from twisted mass fermions using spectral projectors, PoS(LATTICE 2013)129 [arXiv:1312.3535] [INSPIRE].
21. F. Burger et al., in preparation.
22. X. Feng, K. Jansen and D.B. Renner, Resonance Parameters of the rho-Meson from Lattice QCD, Phys. Rev. D 83 (2011) 094505 [arXiv:1011.5288] [INSPIRE].
23. ETM collaboration, K. Jansen, C. McNeile, C. Michael and C. Urbach, Meson masses and decay constants from unquenched lattice QCD, Phys. Rev. D 80 (2009) 054510 [arXiv:0906.4720] [INSPIRE].
24. M. Della Morte, B. Jager, A. Juttner and H. Wittig, Towards a precise lattice determination of the leading hadronic contribution to (g ? 2)μ, JHEP 03 (2012) 055 [arXiv:1112.2894] [INSPIRE].
25. P. Boyle, L. Del Debbio, E. Kerrane and J. Zanotti, Lattice Determination of the Hadronic Contribution to the Muon g ? 2 using Dynamical Domain Wall Fermions, Phys. Rev. D 85 (2012) 074504 [arXiv:1107.1497] [INSPIRE].
26. F. Jegerlehner, Muon g ? 2 update, Nucl. Phys. Proc. Suppl. 181-182 (2008) 26 [INSPIRE].
27. T. Goecke, C.S. Fischer and R. Williams, Leading-order calculation of hadronic contributions to the muon g ? 2 using the Dyson-Schwinger approach, Phys. Lett. B 704 (2011) 211 [arXiv:1107.2588] [INSPIRE].
28. M. Della Morte and A. Juttner, Quark disconnected diagrams in chiral perturbation theory, JHEP 11 (2010) 154 [arXiv:1009.3783] [INSPIRE].
29. A. Francis, B. Jaeger, H.B. Meyer and H. Wittig, A new representation of the Adler function for lattice QCD, Phys. Rev. D 88 (2013) 054502 [arXiv:1306.2532] [INSPIRE].
30. S. Groote and A. Pivovarov, Low-energy gluon contributions to the vacuum polarization of heavy quarks, JETP Lett. 75 (2002) 221 [hep-ph/0103047] [INSPIRE].
31. M. Davier, A. Hoecker, B. Malaescu and Z. Zhang, Reevaluation of the Hadronic Contributions to the Muon g ? 2 and to α(MZ), Eur. Phys. J. C 71 (2011) 1515 [Erratum ibid. C 72 (2012) 1874] [arXiv:1010.4180] [INSPIRE].
32. ? with τ spectral functions, Eur. Phys. J. C 71 (2011) 1632 [arXiv:1101.2872] [INSPIRE].
33. K. Hagiwara, R. Liao, A.D. Martin, D. Nomura and T. Teubner, (g ? 2)μ and α(M2Z ) re-evaluated using new precise data, J. Phys. G 38 (2011) 085003 [arXiv:1105.3149] [INSPIRE].
34. M. Benayoun, P. David, L. DelBuono and F. Jegerlehner, An Update of the HLS Estimate of the Muon g ? 2, Eur. Phys. J. C 73 (2013) 2453 [arXiv:1210.7184] [INSPIRE].