Abstract

We describe an extension of the FeynRules package dedicated to the automatic generation of the mass spectrum associated with any Lagrangian-based quantum field theory. After introducing a simplified way to implement particle mixings, we present a new class of FeynRules functions allowing both for the analytical computation of all the model mass matrices and for the generation of a C++ package, dubbed ASperGe. This program can then be further employed for a numerical evaluation of the rotation matrices necessary to diagonalize the field basis. We illustrate these features in the context of the Two-Higgs-Doublet Model, the Minimal Left-Right Symmetric Standard Model and the Minimal Supersymmetric Standard Model.

Highlights

  • The Standard Model of particle physics is very well verified empirically at the current accessible energies, numerous extensions to its Lagrangian are proposed

  • We describe an extension of the FEYNRULES package dedicated to the automatic generation of the mass spectrum associated with any Lagrangian-based quantum field theory

  • In order to obtain the mass spectrum of any new physics model reflected by its Lagrangian, the mixing matrices of the gauge eigenstates into the mass eigenstates are needed

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Summary

Introduction

The Standard Model of particle physics is very well verified empirically at the current accessible energies, numerous extensions to its Lagrangian are proposed. These extensions describe new or alternative fundamental interactions that typically accommodate possible new physics phenomena at higher energies as well as at the current collider energies. An automated mass spectrum generator, ASPERGE1 is developed within the framework of the FEYNRULES program [1,2,3,4,5] to determine the mixing matrices nu-. 2 and 3 the relevant parts of the FEYNRULES program to introduce the new ASPERGE package, detailed in Sect.

The FEYNRULES package
Implementing mixings in FEYNRULES
Mixing declarations
More advanced cases
Dirac and Weyl fermion mixings
Vacuum expectation value declarations
User functions
The ASPERGE package
Interfacing the ASPERGE package to FEYNRULES
Running ASPERGE
Illustrative examples
The general two-Higgs-doublet model
The minimal left-right symmetric standard model
The minimal supersymmetric standard model
Summary
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