Parity-violating Møller scattering: complete two-loop corrections

Abstract

The MOLLER experiment will measure the parity-violating asymmetry of Møller scattering to 2.4%. We present its fermionic and bosonic two-loop electroweak corrections to the zeroth and first orders in $1-4\sin^2θ_W$. Light quarks enter through vacuum polarization from $e^+e^-$ data or lattice QCD. For $\sin^2\hatθ_W(M_Z) = 0.23122$ and an 11 GeV beam, the weak charge of the electron is $0.04546(8)$ (data) or 0.04517(5) (lattice). Two-loop terms contribute 1.5% of it. Uncomputed terms are estimated at 4% of the experimental goal; the data-lattice difference, about 25% of that goal, limits the prediction.