Proposal and Analysis of the Experiment for the Precise Measurement of the Muon Lifetime and the Fermi Constant

TL;DR

This paper proposes an experiment to measure the muon lifetime and Fermi constant with five times greater precision, analyzing systematic errors using GEANT simulations.

Contribution

It introduces a new experimental approach and comprehensive error analysis to significantly improve measurement accuracy of fundamental constants.

Findings

Potential fivefold improvement in measurement precision

Systematic error analysis using GEANT simulations

Feasibility of more accurate Fermi constant determination

Abstract

An experiment is proposed for a record-breaking measurement of the world Fermi constant during the decay of a positive muon. Using the GEANT programs, an analysis of all systematic errors was performed. It is shown that the experimental accuracy of the muon lifetime and the Fermi constant can be improved by a factor of five.