Towards a precise lattice determination of the leading hadronic contribution to (g-2) μ

Journal of High Energy Physics

Volumn 2012, Issue 3, 2012, Pages

  Morte, Michele Della ^a   Jäger, Benjamin ^a   Jüttner, Andreas ^b   Wittig, Hartmut ^a  

^a JOHANNES GUTENBERG UNIVERSITY   (Germany)

^b CERN   (Switzerland)

Author keywords

Lattice Gauge Field Theories; Lattice Quantum Field Theory; Nonperturbative Effects

Indexed keywords

EID: 84859560844     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP03(2012)055     Document Type: Article

References (46)

1. J.S. Schwinger, On quantum electrodynamics and the magnetic moment of the electron, Phys. Rev. 73 (1948) 416.
2. F. Jegerlehner and A. Nyffeler, The muon g-2, Phys. Rept. 477 (2009) 1 [arXiv:0902.3360].
3. W. S. Cowland, On Schwinger's theory of the muon, Nucl. Phys. 8 (1958) 397.
4. M. Davier, A. Hoecker, B. Malaescu and Z. Zhang, Reevaluation of the hadronic contributions to the muon g-2 and to α(M^), Eur. Phys. J. C 71 (2011) 1515 [arXiv:1010.4180].
5. +e~ with τ spectral functions, Eur. Phys. J. C 71 (2011) 1632 [arXiv:1101.2872].
6. 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]
7. QCDSF collaboration, M. Gockeler et al., Vacuum polarization and hadronic contribution to muon g-2 from lattice QCD, Nucl. Phys. B 688 (2004) 135 [hep-lat/0312032].
8. 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].
9. C. Aubin and 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 (2007) 114502 [hep-lat/0608011].
10. 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, arXiv:1107.1497.
11. G. Colangelo et al., Review of lattice results concerning low energy particle physics, Eur. Phys. J. C 71 (2011) 1695 [arXiv:1011.4408].
12. T. Blum, T. Doi, M. Hayakawa, T. Izubuchi and N. Yamada, Determination of light quark masses from the electromagnetic splitting of pseudoscalar meson masses computed with two flavors of domain wall fermions, Phys. Rev. D 76 (2007) 114508 [arXiv:0708.0484].
13. T. Blum et al., Electromagnetic mass splittings of the low lying hadrons and quark masses from 2 + 1 flavor lattice QCD+QED, Phys. Rev. D 82 (2010) 094508 [arXiv:1006.1311].
14. G. de Divitiis et al., Isospin breaking effects due to the up-down mass difference in Lattice QCD, arXiv:1110.6294.
15. A. Jüttner and M. Della Morte, New ideas for g-2 on the lattice, PoS(LAT2009)143 [arXiv:0910.3755].
16. M. Della Morte and A. Jüttner, Quark disconnected diagrams in chiral perturbation theory, JHEP 11 (2010) 154 [arXiv:1009.3783].
17. G. de Divitiis, R. Petronzio and N. Tantalo, On the discretization of physical momenta in lattice QCD, Phys. Lett. B 595 (2004) 408 [hep-lat/0405002].
18. C. Sachrajda and G. Villadoro, Twisted boundary conditions in lattice simulations, Phys. Lett. B 609 (2005) 73 [hep-lat/0411033].
19. P.F. Bedaque and J.-W. Chen, Twisted valence quarks and hadron interactions on the lattice, Phys. Lett. B 616 (2005) 208 [hep-lat/0412023].
20. M. Della Morte, B. Jager, A. Jüttner and H. Wittig, The leading hadronic vacuum polarisation on the lattice, AIP Conf. Proc. 1343 (2011) 337 [arXiv:1011.5793].
21. M. Della Morte, B. Jager, A. Jüttner and H. Wittig, Lattice determination of the anomalous magnetic moment of the muon, arXiv:1111.2193.
22. E. de Rafael, Hadronic contributions to the muon g-2 and low-energy QCD, Phys. Lett. B 322 (1994) 239 [hep-ph/9311316].
23. https://twiki.cern.ch/twiki/bin/view/CLS/WebIntro.
24. ALPHA collaboration, K. Jansen and R. Sommer, O(α) improvement of lattice QCD with two flavors of Wilson quarks, Nucl. Phys. B 530 (1998) 185
25. [Erratum ibid. B 643 (2002) 517-518] [hep-lat/9803017].
26. S. Capitani, M. Della Morte, G. von Hippel, B. Knippschild and H. Wittig, Scale setting via the? baryon mass, arXiv:1110.6365.
27. L. Del Debbio, L. Giusti, M. Lüscher, R. Petronzio and N. Tantalo, QCD with light Wilson quarks on fine lattices (I): first experiences and physics results, JHEP 02 (2007) 056 [hep-lat/0610059].
28. S. Capitani et al., Mesonic and baryonic correlation functions at fine lattice spacings, PoS(LAT2009)095 [arXiv:0910.5578].
29. M, PoS(LATTICE 2010)164 [arXiv:1010.2390].
30. G. Von Hippel and B. Knippschild, private communication. C. Michael, Fitting correlated data, Phys. Rev. D 49 (1994) 2616 [hep-lat/9310026].
31. M. Lüscher, Volume dependence of the energy spectrum in massive quantum field theories. 1. Stable particle states, Comm. Math. Phys. 104 (1986) 177.
32. M. Lüscher, Volume dependence of the energy spectrum in massive quantum field theories. 2. Scattering states, Commun. Math. Phys. 105 (1986) 153.
33. K. Chetyrkin, J.H. Kuhn and M. Steinhauser, Three loop polarization function and O(α%) corrections to the production of heavy quarks, Nucl. Phys. B 482 (1996) 213 [hep-ph/9606230]
34. ALPHA collaboration, M. Della Morte et al., Computation of the strong coupling in QCD with two dynamical flavors, Nucl. Phys. B 713 (2005) 378 [hep-lat/0411025]
35. ALPHA collaboration, M. Della Morte et al., Non-perturbative quark mass renormalization in two-flavor QCD, Nucl. Phys. B 729 (2005) 117 [hep-lat/0507035].
36. M. Della Morte, R. Sommer and S. Takeda, On cutoff effects in lattice QCD from short to long distances, Phys. Lett. B 672 (2009) 407 [arXiv:0807.1120].
37. P. Fritzsch, J. Heitger and N. Tantalo, Non-perturbative improvement of quark mass renormalization in two-flavour lattice QCD, JHEP 08 (2010) 074 [arXiv:1004.3978]
38. Particle Data Group collaboration, K. Nakamura et al., Review of particle physics, J. Phys. G 37 (2010) 075021.
39. ETM collaboration, D.B. Renner et al., Leading order hadronic contribution to g-2 from twisted mass QCD, PoS(LATTICE 2010) 155 [arXiv:1011.4231].
40. D. Bernecker and H.B. Meyer, Vector correlators in lattice QCD: methods and applications, Eur. Phys. J. A 47 (2011) 148 [arXiv:1107.4388].
41. P. Boyle, J. Flynn, A. Jüttner, C. Sachrajda and J. Zanotti, Hadronic form factors in Lattice QCD at small and vanishing momentum transfer, JHEP 05 (2007) 016 [hep-lat/0703005].
42. C. Thron, S. Dong, K. Liu and H. Ying, Pade-Z(2) estimator of determinants, Phys. Rev. D 57 (1998) 1642 [hep-lat/9707001].
43. J. Foley et al., Practical all-to-all propagators for lattice QCD, Comput. Phys. Commun. 172 (2005) 145 [hep-lat/0505023].
44. S. Collins, G. Bali and A. Schafer, Disconnected contributions to hadronic structure: a new method for stochastic noise reduction, PoS(LATTICE 2007)141 [arXiv:0709.3217].
45. c- mixing with improved stochastic estimators, PoS(LATTICE 2008)114 [arXiv:0903.2947].
46. V. Gülpers, Improved stochastic estimators for disconnected contributions to mesonic form factors in lattice QCD, Diploma Thesis, Johannes Gutenberg Universitat, Mainz, Germany (2011), http://www.kph.unimainz.de/T/pub/ diploma/Dipl-Th-Guelpers.pdf.