Recasting scalar-tensor theories of gravity for colliders

TL;DR

This paper introduces FeynMG, a Mathematica package that automates the complex process of deriving Feynman rules for scalar-tensor theories of gravity, facilitating collider phenomenology studies.

Contribution

The paper presents FeynMG, a new tool that simplifies deriving diagrammatic rules for extended gravity theories, enabling more accessible collider physics analyses.

Findings

FeynMG automates the derivation of Feynman rules for scalar-tensor gravity models.

Application to a specific model reveals unique collider signatures.

The package streamlines complex calculations in extended gravity theories.

Abstract

Diagrammatic approaches to perturbation theory transformed the practicability of calculations in particle physics. In the case of extended theories of gravity, however, obtaining the relevant diagrammatic rules is non-trivial: we must expand in metric perturbations and around (local) minima of the scalar field potentials, make multiple field redefinitions, and diagonalize kinetic and mass mixings. In this note, we will motivate these theories, introduce the package FeynMG -- a Mathematica extension of FeynRules that automates the process described above -- and highlight an application to a model with unique collider phenomenology.