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We propose a new precision measurement of parity-violating electronscattering on the proton at very low Q^2 and forward angles to challengepredictions of the Standard Model and search for new physics. A uniqueopportunity exists to carry out the first precision measurement of the proton'sweak charge, $Q_W =1 - 4\sin^2\theta_W$. A 2200 hour measurement of the parityviolating asymmetry in elastic ep scattering at Q^2=0.03 (GeV/c)^2 employing180 $\mu$A of 85% polarized beam on a 35 cm liquid Hydrogen target willdetermine the proton's weak charge with approximately 4% combined statisticaland systematic errors. The Standard Model makes a firm prediction of $Q_W$,based on the running of the weak mixing angle from the Z0 pole down to lowenergies, corresponding to a 10 sigma effect in this experiment.

The Qweak Experiment: A Search for New Physics at the TeV Scale via a Measurement of the Proton's Weak Charge