# The 34th International Symposium on Lattice Field Theory (Lattice 2016)

Jul 24 – 30, 2016
Highfield Campus, University of Southampton
Europe/London timezone

## Towards extracting the timelike pion form factor on CLS 2-flavour ensembles

Jul 26, 2016, 7:00 PM
1h
Highfield Campus, University of Southampton

#### Highfield Campus, University of Southampton

Highfield Campus, Southampton SO17 1BJ, UK

### Speaker

Mr Felix Erben (University Mainz)

### Description

Results are presented from an ongoing study of the $\rho$ resonance. We use the LapH-smearing approach in order to create correlator matrices involving $\rho$ and $\pi\pi$ interpolators. The study is done in a centre-of-mass frame and several moving frames. We are able to extract effective-energy levels by solving the GEVP of those correlator matrices. The initial exploratory study is being done on a CLS 2-flavour lattice with a pion mass of $451$ $\mathrm{MeV}$ using $\mathcal{O}(a)$ improved Wilson fermions. One aim of this work is to extract the timelike pion form factor after applying the Lüscher formalism. We also have all the ingredients ready which allow us to integrate this study with the existing Mainz programme for the calculation of the hadronic vacuum polarization contribution to the muon $g-2$. We plan to extend our study to lower pion masses and larger lattices in the future, including ensembles with $2+1$ flavours.

### Primary author

Mr Felix Erben (University Mainz)

### Co-authors

Dr Daniel Mohler (Helmholtz-Institut Mainz) Prof. Hartmut Wittig (University of Mainz) Dr Jeremy Green (Institut für Kernphysik, Johannes Gutenberg-Universität Mainz)

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