6533b824fe1ef96bd1280bf2
RESEARCH PRODUCT
The leading hadronic contribution to the running of the Weinberg angle using covariant coordinate-space methods
Antoine GérardinHarvey B. MeyerMarco CèKonstantin Ottnadsubject
PhysicsParticle physicsMuonNeutral currentAnomalous magnetic dipole momentHigh Energy Physics - Lattice (hep-lat)FOS: Physical sciencesWeinberg angleLattice QCDFermionCoupling (probability)High Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - LatticeCovariant transformationCoordinate spacedescription
We present a preliminary study of the leading hadronic contribution to the running of the Weinberg angle $\theta_{\mathrm{W}}$. The running is extracted from the correlation function of the electromagnetic current with the vector part of the weak neutral current using both the standard time-momentum representation method and the Lorentz-covariant coordinate-space method recently introduced by Meyer. Both connected and disconnected contributions have been computed on $N_{\mathrm{f}}=2+1$ non-perturbatively $O(a)$-improved Wilson fermions configurations from the CLS initiative. Similar covariant coordinate-space methods can be used to compute the leading hadronic contribution to the anomalous magnetic moment of the muon $(g-2)_\mu$ and to the running of the QED coupling $\alpha$.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-11-21 |