Experimental Issues for Precision Electroweak Physics at a High-Luminosity Z Factory

TL;DR

This paper examines the challenges and considerations in achieving high-precision measurements of the weak mixing angle at a future high-luminosity Z factory, focusing on experimental issues related to luminosity and energy uncertainty.

Contribution

It analyzes the impact of machine parameters and polarization options on the precision of electroweak measurements at a proposed linear collider.

Findings

Peak luminosity and measurement precision are in tension due to energy uncertainty requirements.

Polarized positron beams can influence measurement accuracy.

A balanced approach between luminosity and precision is likely necessary.

Abstract

We discuss the ultimate precision for ALR, and therefore for the weak mixing angle, at a high-luminosity Linear Collider. Drawing on our experience at the SLC, and considering various machine parameter sets for the NLC and for TESLA, it emerges that a compromise between peak luminosity and precision will be a likely outcome. This arises due to the severe requirements on the uncertainty in the luminosity weighted collision energy (Ecm). We consider the cases with and without a polarized positron beam.