Towards extracting the timelike pion form factor on CLS two-flavour ensembles

TL;DR

This paper reports on an ongoing lattice QCD study of the $ ho$ resonance and the timelike pion form factor using CLS two-flavour ensembles, aiming to contribute to the muon g-2 calculations.

Contribution

It introduces a method to extract the timelike pion form factor from CLS ensembles using the Lüscher formalism and distillation approach, advancing the understanding of hadronic contributions to muon g-2.

Findings

Energy levels extracted via GEVP with distillation

Preliminary results on the timelike pion form factor

Integration with Mainz programme for muon g-2

Abstract

Results are presented from an ongoing study of the $\rho$ resonance. The focus is on CLS 2-flavour ensembles generated using $\mathcal{O}(a)$ improved Wilson fermions with pion masses ranging from $265$ to $437$ $\mathrm{MeV}$. The energy levels are extracted by solving the GEVP of correlator matrices, created with the distillation approach involving $\rho$ and $\pi\pi$ interpolators. The study is done in the centre-of-mass frame and several moving frames. One aim of this work is to extract the timelike pion form factor after applying the L\"uscher formalism. We therefore plan to integrate this study with the existing Mainz programme for the calculation of the hadronic vacuum polarization contribution to the muon $g-2$.