Measurement of the Weinberg Angle in an Experiment at the Super Charm Tau Factory with a Polarized Beam
2021
Measurement of the effective weak mixing angle $${\theta_{\textrm{eff}}}$$
in an experiment at the Super Charm Tau Factory is discussed for the case of a longitudinal polarization of electrons. A method for measuring the average electron beam polarization by means of analyzing the differential cross section for the decay process $${{J/\psi}}\to[\Lambda\to p\pi^{-}][{\bar{\Lambda}}\to{\bar{p}}\pi^{+}]$$
is proposed. At a collider luminosity of $$10^{35}\textrm{cm}^{-2}\textrm{s}^{-1}$$
and a polarization degree of $$0.8$$
, the parameter $${\sin^{2}{{\theta_{\textrm{eff}}}}}$$
can be measured to a relative precision better than $$1\%$$
, which will be sufficient for observing the deviation of $${\sin^{2}{{\theta_{\textrm{eff}}}}}$$
from its value at the $$Z$$
-boson peak.
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