# The hadronic vacuum polarization and automatic O ( a ) improvement for twisted mass fermions

@inproceedings{Petschlies2015TheHV, title={The hadronic vacuum polarization and automatic O ( a ) improvement for twisted mass fermions}, author={Marcus Petschlies and Karl Jansen}, year={2015} }

The vacuum polarization tensor and the corresponding vacuum polarization function are the basis for calculations of numerous observables in lattice QCD. Examples are the hadronic contributions to lepton anomalous magnetic moments, the running of the electroweak and strong couplings and quark masses. Quantities which are derived from the vacuum polarization tensor often involve a summation of current correlators over all distances in position space leading thus to the appearance of short…

## 6 Citations

Hadronic corrections to electroweak observables from twisted mass lattice QCD

- Physics
- 2015

Among the most prominent benchmark quantities investigated to detect signs for new physics beyond the standard model of elementary particle physics are the weak mixing angle and the muon anomalous…

Leading-order hadronic contributions to the lepton anomalous magnetic moments from the lattice

- Physics
- 2015

The hadronic leading-order (hlo) contribution to the lepton anomalous magnetic moments a l hlo of the Standard Model leptons still accounts for the dominant source of the uncertainty of the Standard…

Leading hadronic contributions to the running of the electroweak coupling constants from lattice QCD

- Physics
- 2015

A bstractThe quark-connected leading-order hadronic contributions to the running of the electromagnetic fine structure constant, αQED, and the weak mixing angle, θW, are determined by a four-flavour…

Short distance singularities and automatic O(a) improvement: the cases of the chiral condensate and the topological susceptibility

- Physics
- 2014

A bstractShort-distance singularities in lattice correlators can modify their Symanzik expansion by leading to additional O(a) lattice artifacts. At the example of the chiral condensate and the…

Strange and charm HVP contributions to the muon (g − 2) including QED corrections with twisted-mass fermions

- Physics
- 2017

A bstractWe present a lattice calculation of the Hadronic Vacuum Polarization (HVP) contribution of the strange and charm quarks to the anomalous magnetic moment of the muon including leading-order…

Leading-order hadronic contributions to the electron and tau anomalous magnetic moments

- Physics
- 2015

The leading hadronic contributions to the anomalous magnetic moments of the electron and the $$\tau $$τ-lepton are determined by a four-flavour lattice QCD computation with twisted mass fermions. The…

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