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Related Experiment Video

Updated: May 29, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Lattice QCD and the timelike pion form factor.

Harvey B Meyer1

  • 1Institut für Kernphysik, Johannes Gutenberg Universität Mainz, Germany.

Physical Review Letters
|September 10, 2011
PubMed
Summary

We developed a new formula to calculate the pion form factor using lattice quantum chromodynamics (QCD). This method accurately determines two-pion contributions to vacuum polarization, crucial for muon anomalous magnetic moment calculations.

Area of Science:

  • * Theoretical particle physics
  • * Quantum chromodynamics (QCD)
  • * Hadron physics

Background:

  • * The pion form factor is essential for understanding vacuum polarization.
  • * Accurate calculations are needed to reduce theoretical uncertainty in the anomalous magnetic moment of the muon.
  • * Determining spectral functions typically requires analytic continuation, which is mathematically complex.

Purpose of the Study:

  • * To present a novel formula for calculating the pion form factor in the timelike region.
  • * To enable precise lattice QCD calculations of the pion form factor.
  • * To provide a method for determining spectral functions without analytic continuation.

Main Methods:

  • * Development of a new formula applicable to lattice QCD.

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Last Updated: May 29, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Published on: June 8, 2018

Setting Limits on Supersymmetry Using Simplified Models
07:46

Setting Limits on Supersymmetry Using Simplified Models

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  • * Focus on the timelike region for the pion form factor (2m(π) ≤ √(s) ≤ 4m(π)).
  • * Utilizing Euclidean observables to determine spectral functions.

    • Main Results:

    • * A formula is presented for calculating the pion form factor in a specific timelike kinematic regime.
    • * The formula quantifies the contribution of two-pion states to vacuum polarization.
    • * This approach avoids explicit analytic continuation for spectral function determination.

    Conclusions:

    • * The presented formula offers a significant advancement in lattice QCD calculations.
    • * It provides a pathway to more accurate determination of the muon anomalous magnetic moment.
    • * This work represents a rare instance of determining a spectral function from Euclidean data without analytic continuation.