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

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 Lüscher 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 $g-2$.

proceedings to conference: Lattice 2017, Granada, Spain

References in corpus (1)

• Timelike pion form factor in lattice QCD

Cited by in corpus (5)

• The anomalous magnetic moment of the muon in the Standard Model
• Lattice QCD study of the $H$ dibaryon using hexaquark and two-baryon interpolators
• Lattice QCD and the anomalous magnetic moment of the muon
• Rho resonance, timelike pion form factor, and implications for lattice studies of the hadronic vacuum polarisation
• Repurposing lattice QCD results for composite phenomenology