# LHC Physics Potential vs. Energy

## TL;DR

This paper uses parton luminosities to evaluate how the Large Hadron Collider's physics potential varies with proton beam energy, providing detailed ratios and contours for key interactions.

## Contribution

It introduces a comprehensive analysis of parton luminosities and their ratios across energies, aiding in estimating collider physics reach for various processes.

## Key findings

- Parton luminosity ratios vary significantly with energy.
- Contours of fixed luminosity help identify optimal energy ranges.
- Analysis aids in planning future collider experiments.

## Abstract

Parton luminosities are convenient for estimating how the physics potential of Large Hadron Collider experiments depends on the energy of the proton beams. I present parton luminosities, ratios of parton luminosities, and contours of fixed parton luminosity for $gg$, $u\bar{d}$, and $qq$ interactions over the energy range relevant to the Large Hadron Collider, along with example analyses for specific processes.