Precision muon decay measurements and improved constraints on the weak interaction

Abstract

The TWIST Collaboration has completed its measurement of the three muon decay parameters ρ, δ, and P_μξ. This paper describes our determination of ρ, which governs the shape of the overall momentum spectrum, and δ, which controls the momentum dependence of the parity-violating decay asymmetry. The results are ρ=0.74977\pm 0.00012(stat.)\pm 0.00023(syst.) and δ= 0.75049\pm 0.00021(stat.)\pm 0.00027(syst.). These are consistent with the value of 3/4 given for both parameters in the standard model, and each is over a factor of 10 more precise than the measurements published prior to TWIST. Our final results on ρ, δ, and P_μξhave been incorporated into a new global analysis of all available muon decay data, resulting in improved model-independent constraints on the possible weak interactions of right-handed particles.

19 pages, 10 figures