Calibrating the energy of a 50 X 50 GeV muon collider using spin precession

TL;DR

This paper proposes a method to calibrate the energy of a 50x50 GeV muon collider by analyzing spin precession effects, enabling high-precision energy measurements crucial for Higgs boson studies.

Contribution

It introduces a novel technique using muon decay electron energy variation to calibrate collider energy with parts-per-million accuracy.

Findings

Energy scale can be determined to a few ppm.

Method requires data from about 1000 turns.

Feasibility demonstrated through simulation.

Abstract

The neutral Higgs boson is expected to have a mass in the region 90-150 GeV in various schemes within the Minimal Supersymmetric extension to the Standard Model. A first generation Muon Collider is uniquely suited to investigate the mass, width and decay modes of the Higgs boson, since the coupling of the Higgs to muons is expected to be strong enough for it to be produced in the s channel mode in the muon collider. Due to the narrow width of the Higgs, it is necessary to measure and control the energy of the individual muon bunches to a precision of a few parts in a million. We investigate the feasibility of determining the energy scale of a muon collider ring with circulating muon beams of 50 GeV energy by measuring the turn by turn variation of the energy deposited by electrons produced by the decay of the muons. This variation is caused by the existence of an average initial polarization of the muon beam and a non-zero value of g-2 for the muon. We demonstrate that it is feasible to determine the energy scale of the machine with this method to a few parts per million using data collected during 1000 turns.