Speaker
Description
The electroweak mixing angle, or Weinberg angle, $\theta_{\mathrm{W}}$ is a parameter of the Standard Model that parametrizes the mixing between the electromagnetic and weak couplings.
We present a lattice study of the leading hadronic contribution to the running of $\sin^2\theta_{\mathrm{W}}$, given by the hadronic vacuum polarization (HVP) of the electromagnetic current with the vector part of the weak neutral current, estimated using the time-momentum representation (TMR) method. Both connected and disconnected contributions have been computed on $N_{\mathrm{f}}=2+1$ non-perturbatively $\mathcal{O}(a)$-improved Wilson fermions ensembles from the Coordinated Lattice Simulations (CLS) initiative. The use of different lattice spacings and quark masses allows us to reliably extrapolate the results to the physical point.