Measurement of the weak mixing angle at a Super Charm-Tau factory with data-driven monitoring of the average electron beam polarization

Abstract

A method for measuring the average longitudinal polarization of the electron beam at an electron-positron collider operating near the $J/\psi$ resonance is proposed. The method utilizes the differential cross-section of $J/\psi \to [\Lambda \to p{\pi }^{-}][\bar{\Lambda }\to \bar{p}{\pi }^{+}]$ decay. It can be used to measure the average longitudinal polarization of electrons with the statistical precision better than $10^{-3}$ at a Super Charm-Tau factory operating at the luminosity of $10^{35}\mathrm{cm}{}^{-2}\mathrm{s}{}^{-1}$. The method is discussed in the context of the weak mixing angle measurement in the same experiment.

arXiv comment30 pages, 9 figures. Some typos found in the published version are corrected here

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Cited by in corpus (6)

• STCF Conceptual Design Report: Volume 1 -- Physics & Detector
• Study of CP violation in hyperon decays at Super Charm-Tau Factories with a polarized electron beam
• Probing hyperon electric dipole moments with a full angular analysis
• Probing light exotics from a hidden sector at $c$-$\tau$ factories with polarized electron beams
• Prospects of $CP$ violation in $\Lambda$ decay with polarized electron beam at STCF
• Charm Physics at the Super $\tau$-Charm Factory