# Notes about collision monochromatization in $e^+e^-$ colliders

## TL;DR

This paper explores various monochromatization schemes for $e^+e^-$ colliders, including head-on and crossing angle methods, focusing on correlations between particle positions and energy deviations to improve collision energy resolution.

## Contribution

It introduces a new monochromatization scheme for crossing angle collisions based on longitudinal position-energy correlation, expanding on previous transverse correlation methods.

## Key findings

- Analysis of head-on collision monochromatization
- Development of crossing angle monochromatization schemes
- Proposal of a new longitudinal correlation-based method

## Abstract

The manuscript describes several monochromatization schemes starting from A.~Renieri \cite{ref:Renieri} proposal for head-on collisions based on correlation between particles transverse position and energy deviation. We briefly explain initial proposal and expand it for crossing angle collisions. Then we discuss new monochromatization scheme for crossing angle collisions based on correlation between particles longitudinal position and energy deviation.