6533b822fe1ef96bd127d9af
RESEARCH PRODUCT
Towards extracting the timelike pion form factor on CLS 2-flavour ensembles
Daniel MohlerHartmut WittigFelix ErbenJeremy Greensubject
PhysicsParticle physicsMuonHigh Energy Physics::LatticeHigh Energy Physics - Lattice (hep-lat)HadronFlavourFOS: Physical sciencesFermionHigh Energy Physics - LatticePionCLs upper limitsLattice (order)High Energy Physics::ExperimentVacuum polarizationNuclear Experimentdescription
Results are presented from an ongoing study of the $\rho$ resonance. We use the distillation 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 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 L\"uscher formalism. We also plan to integrate this study with the existing Mainz programme for the calculation of the hadronic vacuum polarization contribution to the muon $g-2$ and will extend our study to lower pion masses and larger lattices in the future, including ensembles with $2+1$ flavours.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-11-21 | Proceedings of 34th annual International Symposium on Lattice Field Theory — PoS(LATTICE2016) |