Determining Weak-Mixing Angle at $\mu$TRISTAN

TL;DR

The paper proposes using the $$TRISTAN collider to precisely measure the weak mixing angle, enabling tests of the Standard Model and exploration of new physics across a broad interaction scale range.

Contribution

It introduces a novel measurement method at $$TRISTAN for determining the weak mixing angle with high precision and scanning a wide interaction scale spectrum.

Findings

Potential to measure the weak mixing angle with percent to milli-level accuracy.

Ability to explore a broad range of interaction scales in a single experiment.

Demonstrates the feasibility of probing new physics effects via Mller-like scattering.

Abstract

$\mu$TRISTAN is a realistic high energy lepton collider based on the existing technology aiming at indirect and direct search for the physics beyond the standard model (SM). We propose a measurement to determine one of the most prominent parameters of the SM, weak mixing angle to test the SM and probe the new physics effect in M\o ller-like scattering with a wide range of interaction scales. We show that this experiment not only can determine the weak mixing angle with percent to milli-level accuracy but also scan over a wide range of interaction scales that have never been archived in a single experiment elsewhere.