Testing the Standard Model using Parity Violating Deep Inelastic Scattering

       The electroweak Standard Model describes the unification of the electromagnetic and weak interactions. The Standard Model has been stringently tested by many high energy experiments, which have good, but not perfect agreement with Standard Model predictions. An opportunity exists to use Jefferson Laboratory (JLab)’s polarized electron beam to probe the Standard Model at lower energies by measuring parity violation in deep inelastic scattering, at both the currently available energy of 6 GeV or after the future 12 GeV upgrade.


Running of sin^2\theta_W        One of the triumphs of physics in the 1970’s was the theoretical unification of the electromagnetic and weak interactions into what is now known as the "Standard Model". The 1979 Nobel Prize in Physics was given to S. Glashow, S. Weinberg and A. Salam for this work.  One of the basic parameters of the Standard Model is sin2θW, which represents the relative coupling strength of the weak and electromagnetic forces. The Standard Model predicts that the value sin2θW will vary (or run) as a function of Q2, the energy squared at which it is probed. Measurement of this "running" provides a strict test of the Standard Model, as illustrated in figure 1. At an energy equivalent to the mass of the Z-boson (Q2= MZ2), sin2θW is well measured; but at Q2 < MZ2, only a few measurements exist. Recently, two measurements have been made at masses below the Z-boson mass. The first of these, by the NuTeV experiment, used neutrino and antineutrino deep inelastic scattering at Fermilab found a three standard deviation (3σ) disagreement with the Standard Model. And this deviation could increase to 3.8 σ if the recent BNL-E865 measurement of K+e3 branching ratio (which is 6% higher than the PDG value) is used in the analysis. The Stanford Linear Accelerator experiment E-158 measured sin2θW using parity violation in Möller Scattering. The E-158 results, while only 1.1 standard deviations away from Standard Model predictions, had a pull in the same direction as the NuTeV measurement as shown in figure 1.

       Parity violation in polarized electron deep inelastic scattering (PV-DIS) is another way to probe sin2θW. The asymmetry in PV-DIS is linearly dependent on sin2θW and relatively large (Ad ˜ 10-4 Q2 with Q2 in GeV2), making it experimentally quite accessible. Historically, DIS parity violation from a deuterium target was first observed by Prescott et al. during SLAC E122 in the mid-1970 and was used to establish the Weinberg-Salam model as the electroweak Standard Model.


C1q        A preliminary measurement of PV-DIS at JLab with a 6 GeV beam (E05-007), led by members of the Medium Energy Physics Group at Physics Division at Argonne, has been approved at JLab and plans for a definitive measurement with an 11 GeV beam are one element of the justification for the planned upgrade of the CEBAF accelerator at JLab. The scientific goal of both 6 and 11 GeV programs is to test the Standard Model at relatively low energy scales.   In addtion to the Weinberg angle, the combination of electron-quark coupling constants, 2C2u-C2d with C2q=gVe·gAq, will be extracted from Ad and is expected to improve the current knowledge on this quantity by a factor of eight upon full completion of E05-007, as shown by the red band on the right panel of figure 2.

       In order to reach the scientific goal of E05-007, two instrumental upgrades are needed: 1) The laser currently being used by the Compton polarimeter in Hall A of JLab will be upgraded from IR to a green  (523nm) laser and the Fabry-Perot cavity will be upgraded to provide twice the laser power as currently achieved. Such upgrade will provide a 1% precision for the electron beam polarization; 2) A new Flash ADC (FADC)-based data aquisition system (DAQ) will be built to handle the high event rate (up to ~1MHz) on a counting basis. We are currently working on both upgrades. If they can be completed on time, the experiment E05-007 will be schedule to run in 2008.  


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