Abstract
Using recently published, high-precision π + π − cross section data by the BABAR experiment from the analysis of e + e − events with high-energy photon radiation in the initial state, we reevaluate the lowest order hadronic contribution \((a_{\mu}^{\mathrm{had},\mathrm{LO}})\) to the anomalous magnetic moment of the muon. We employ newly developed software featuring improved data interpolation and averaging, more accurate error propagation and systematic validation. With the new data, the discrepancy between the e + e −- and τ-based results for the dominant two-pion mode reduces from previously 2.4σ to 1.5σ in the dispersion integral, though significant local discrepancies in the spectra persist. We obtain for the e + e −-based evaluation \(a_{\mu}^{\mathrm{had},\mathrm{LO}}=(695.5\pm4.1)\times 10^{-10}\) , where the error accounts for all sources. The full Standard Model prediction of a μ differs from the experimental value by 3.2σ.
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M. Davier et al., BIHEP-TH-09-01, CERN-OPEN-2009-007, LAL-09-50. arXiv:0906.5443. doi:10.1140/epjc/s10052-009-1219-4
R. Alemany, M. Davier, A. Hoecker, Eur. Phys. J. C 2, 123 (1998)
R. Barate et al. (ALEPH Collaboration), Z. Phys. C 76, 15 (1997)
S. Schael et al. (ALEPH Collaboration), Phys. Rep. 421, 191 (2005)
S. Anderson et al. (CLEO Collaboration), Phys. Rev. D 61, 112002 (2000)
K. Ackerstaff et al. (OPAL Collaboration), Eur. Phys. J. C 7, 571 (1999)
R.R. Akhmetshin et al. (CMD2 Collaboration), Phys. Lett. B 578, 285 (2004)
V.M. Aulchenko et al. (CMD2 Collaboration), JETP Lett. 82, 743 (2005)
R.R. Akhmetshin et al. (CMD2 Collaboration), JETP Lett. 84, 413 (2006)
R.R. Akhmetshin et al. (CMD2 Collaboration), Phys. Lett. B 648, 28 (2007)
M.N. Achasov et al. (SND Collaboration), JETP Lett. 103, 380 (2006)
F. Ambrosino et al. (KLOE Collaboration), Phys. Lett. B 670, 285 (2009)
M. Davier, S. Eidelman, A. Hoecker, Z. Zhang, Eur. Phys. J. C 27, 497 (2003)
M. Davier, S. Eidelman, A. Hoecker, Z. Zhang, Eur. Phys. J. C 31, 503 (2003)
G.W. Bennett et al., Phys. Rev. Lett. 89, 101804 (2002)
M. Davier, Nucl. Phys. B, Proc. Suppl. 169, 288 (2007)
M. Fujikawa et al. (Belle Collaboration), Phys. Rev. D 78, 072006 (2008)
F. Aloisio et al. (KLOE Collaboration), Phys. Lett. B 606, 12 (2005)
B. Aubert et al. (BABAR Collaboration), arxiv:0908.3589 (2009)
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S.J. Brodsky, E. de Rafael, Phys. Rev. 168, 1620 (1968)
L.M. Barkov et al. (OLYA, CMD Collaborations), Nucl. Phys. B 256, 365 (1985)
I.B. Vasserman et al. (OLYA Collaboration), Sov. J. Nucl. Phys. 30, 519 (1979)
I.B. Vasserman et al. (TOF Collaboration), Sov. J. Nucl. Phys. 33, 368 (1981)
A. Quenzer et al. (DM1 Collaboration), Phys. Lett. B 76, 512 (1978)
D. Bisello et al. (DM2 Collaboration), Phys. Lett. B 220, 321 (1989)
S.R. Amendolia et al. (NA7 Collaboration), Phys. Lett. B 138, 454 (1984)
H. Czyż, A. Grzelińska, J.H. Kühn, Phys. Rev. D 75, 074026 (2007)
R. Brun, F. Rademakers, Nucl. Instrum. Methods Phys. Res. A 389, 81 (1997)
G.J. Gounaris, J.J. Sakurai, Phys. Rev. Lett. 21, 244 (1968)
F. Jegerlehner, Nucl. Phys. B, Proc. Suppl. 181, 26 (2008)
F. Jegerlehner, A. Nyffeler, Phys. Rep. 477, 1 (2009)
R.R. Akhmetshin et al. (CMD2 Collaboration), Phys. Lett. B 466, 392 (1999)
I.B. Logashenko, Talk given at conference “e + e − Collisions From Phi To Psi” Novosibirsk, Russia, 27 Feb–2 Mar 2006
I.B. Logashenko, Nucl. Phys. B, Proc. Suppl. 162, 13 (2006)
M.N. Achasov et al. (SND Collaboration), Budker INP 2001-34, Novosibirsk (2001).
K. Hagiwara, A.D. Martin, D. Nomura, T. Teubner, Phys. Lett. B 649, 173 (2007)
J. Prades, E. de Rafael, A. Vainshtein, UG-FT-242-08, CAFPE-112-08, CPT-P092-2008, FTPI-MINN-08-41, UMN-TH-2723-08, arXiv:0901.0306
T. Kinoshita, M. Nio, Phys. Rev. D 73, 013003 (2006)
A. Hoecker, W. Marciano, The muon anomalous magnetic moment (in: Review of particle physics 2008), Phys. Lett. B 667, 1 (2008); update for 2009 in preparation (to appear at http://pdglive.lbl.gov)
R. Jackiw, S. Weinberg, Phys. Rev. D 5, 2396 (1972)
A. Czarnecki et al., Phys. Rev. D 67, 073006 (2003)
G.W. Bennett et al. (Muon g−2 Collaboration), Phys. Rev. D 73, 072003 (2006)
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Davier, M., Hoecker, A., Malaescu, B. et al. Reevaluation of the hadronic contribution to the muon magnetic anomaly using new e + e −→π + π − cross section data from BABAR. Eur. Phys. J. C 66, 1–9 (2010). https://doi.org/10.1140/epjc/s10052-010-1246-1
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DOI: https://doi.org/10.1140/epjc/s10052-010-1246-1