Probe of a Randall-Sundrum-like model from muon pair production at high energy muon collider

TL;DR

This paper investigates how a Randall-Sundrum-like model with small curvature affects muon pair production at future high-energy muon colliders, providing predictions for cross sections and bounds on extra-dimensional gravity scales.

Contribution

It offers the first detailed analysis of Randall-Sundrum-like model effects on muon collider processes across multiple energies, including cross section calculations and exclusion bounds.

Findings

Differential and total cross sections are computed for various energies.

Exclusion bounds on the 5D gravity scale are established.

Results depend on collision energy and luminosity.

Abstract

We have examined inclusive $\mu^+\mu^- \rightarrow \mu^+ \mu^- + E_{\mathrm{miss}}$ and annihilation $\mu^+\mu^- \rightarrow \mu^+ \mu^-$ processes at future high energy muon colliders in the framework of the Randall-Sundrum-like model with a small curvature of space-time. The collision energies of 3 TeV, 14 TeV and, 100 TeV are addressed. Both differential and total cross sections are calculated, and exclusion bounds on a 5-dimensional gravity scale are obtained depending on collision energy and integrated luminosity of the muon colliders.