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The discrepancy between τ and e + e − spectral functions revisited and the consequences for the muon magnetic anomaly

  • Regular Article - Theoretical Physics
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Abstract

We revisit the procedure for comparing the π π spectral function measured in τ decays to that obtained in e + e − annihilation. We re-examine the isospin-breaking corrections using new experimental and theoretical input and find improved agreement between the τ −→π − π 0 ν τ branching fraction measurement and its prediction using the isospin-breaking-corrected e + e −→π + π − spectral function, though not resolving all discrepancies. We recompute the lowest order hadronic contributions to the muon g−2 using e + e − and τ data with the new corrections and find a reduced difference between the two evaluations. The new tau-based estimate of the muon magnetic anomaly is found to be 1.9 standard deviations lower than the direct measurement.

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Authors and Affiliations

  1. Institute of High Energy Physics, Chinese Academy of Sciences, Beijing, China

    X. H. Mo, P. Wang & C. Z. Yuan

  2. CERN, 1211, Geneva 23, Switzerland

    A. Hoecker

  3. Laboratoire de l’Accélérateur Linéaire, IN2P3/CNRS, Université Paris-Sud 11, Orsay, France

    M. Davier, B. Malaescu & Z. Zhang

  4. Departamento de Física, Cinvestav, Apartado Postal 14-740, 07000, Mexico, D.F., Mexico

    G. López Castro

  5. Instituto de Física, UNAM, A.P. 20-364, 01000, Mexico, D.F., Mexico

    G. Toledo Sánchez

Authors
  1. M. Davier
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  2. A. Hoecker
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  3. G. López Castro
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  4. B. Malaescu
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  5. X. H. Mo
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  6. G. Toledo Sánchez
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  7. P. Wang
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  8. C. Z. Yuan
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  9. Z. Zhang
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Corresponding author

Correspondence to Z. Zhang.

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Davier, M., Hoecker, A., López Castro, G. et al. The discrepancy between τ and e + e − spectral functions revisited and the consequences for the muon magnetic anomaly. Eur. Phys. J. C 66, 127–136 (2010). https://doi.org/10.1140/epjc/s10052-009-1219-4

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  • DOI: https://doi.org/10.1140/epjc/s10052-009-1219-4

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