Precision measurement of the weak charge of the proton and parity violation in the N → Δ transition
The Q weak Experiment ran for two and a half years at the Thomas Jefferson National Accelerator Facility in pursuit of Q$^p_w$, the neutral weak analog to the electric charge of the proton. Q weak measured the parity-violating asymmetry in elastic electron-proton scattering at an extreme forward angle (Q 2 = 0.0249 (GeV/c) 2 ). From the data gathered via the 1.16 GeV 180 µA longitudinally polarized electron beam scattering off the unpolarized photons in the liquid hydrogen target, a value of Q$^p_w$ (PVES) = 0.0719 ± 0.0045 was determined. The Standard Model has a definite prediction of Q$^p_w$ (SM) = 0.0708 ± 0.0003, consistent with the value determined by Q weak which sets a limit on possible new physics up to 7.5 TeV. The theory behind the main measurement of the Q weak Experiment is described in this document, along with the apparatus that made the measurement possible. Understanding the kinematics of the apparatus was a vital component to Q weak 's final measurement. An in-depth explanation of the tracking system responsible for benchmarking the momentum transfer and scattering angle simulations is included. The unblinded analysis of Q weak 's final result is outlined, as are additional physics results related to the N → Δ transition. During April 2012, an opportunity was seized to take ancillary data on the inelastic N → Δ transition at a different beam energy(877 MeV) than the nominal Q weak data. This data, combined with the inelastic data taken at nominal beam energy and a previous measurement, determined a constraint on d Δ , a low energy constant related to hadronic parity violation, of (3.8 ± 14.7) g π . It also resulted in a measurement of the beam-normal single-spin asymmetry of the N → Δ transition of 149 ± 3 (stat) ± 72 (syst) ppm. This document includes both the longitudinal and transverse analysis of the 877 MeV data.