Performance and tolerance study of the rectilinear cooling channel for a muon collider

TL;DR

This paper presents a conceptual design for a rectilinear muon cooling channel with dipole magnets, analyzing its performance and robustness for use in high-luminosity muon colliders.

Contribution

It introduces a general design method for rectilinear cooling channels and evaluates their performance with RF cavities and error effects.

Findings

Design method for rectilinear cooling channels established

Performance impact of RF cavities and errors analyzed

Two channel configurations developed for different stages

Abstract

The muon collider has the potential to be a powerful tool for the exploration of frontiers in particle physics. In order to reach high luminosity, the 6D emittance of the muon beam needs to be reduced by several orders of magnitude. The cooling process for a muon collider involves two parts; initial six-dimensional cooling and final transverse cooling. This paper focuses on the former and proposes a conceptual design of the rectilinear cooling channel with additional dipole magnets. In this paper, we first introduce a general method for designing the rectilinear cooling channel. Subsequently, we apply this method to develop two rectilinear cooling channels before and after a bunch merging system. Furthermore, we investigate the impact on cooling performance by employing $\pi$-mode RF cavities and considering the effect of errors in the magnetic and RF fields.