28 July 2024 to 3 August 2024
Europe/London timezone

The timelike pion form factor and other applications of $I=1$ $\pi\pi$ scattering

30 Jul 2024, 16:15
20m
Talk Hadronic and Nuclear Spectrum and Interactions Hadronic and nuclear spectrum and interactions

Speaker

Nolan Miller (Helmholtz-Institut Mainz)

Description

The timelike pion form factor is a rare example of a form factor that can be measured on the lattice in the timelike region without analytic continuation from the spacelike region. The most precise experimental results disagree near the $\rho$ resonance, leading to diverging estimates of hadronic vacuum polarization. We will present a calculation of the timelike pion form factor using a physical pion mass ensemble, carefully controlling for systematic uncertainties in the generalized eigenvalue problem following the strategy described by Blossier et al (2009). Along the way, we will also show results for the resonance mass $m_\rho$, the coupling $g_{\rho\pi\pi}$, and the reconstructed vector-vector correlator, the latter of which can be used to improve the estimate of the hadronic vacuum polarization contribution to the muon's anomalous magnetic moment, $a^\mathrm{hvp}_\mu$.

Primary authors

Ben Hörz (Intel) Dalibor Djukanovic (Helmholtz Institute Mainz) Hartmut Wittig (University of Mainz) Harvey B. Meyer (University of Mainz) Nolan Miller (Helmholtz-Institut Mainz) Simon Kuberski (CERN) Srijit Paul (University of Edinburgh)

Presentation materials