Abstract

We present an extension to the Mathematica package SARAH which allows for Higgs mass calculations at the two-loop level in a wide range of supersymmetric models beyond the MSSM. These calculations are based on the effective potential approach and include all two-loop corrections which are independent of electroweak gauge couplings. For the numerical evaluation Fortran code for SPheno is generated by SARAH. This allows the prediction of the Higgs mass in more complicated SUSY models with the same precision that most state-of-the-art spectrum generators provide for the MSSM.

Highlights

  • The discovery of the Higgs boson has been so far the biggest success of the experiments at the Large Hadron Collider (LHC) [1,2]

  • We present an extension to the Mathematica package SARAH which allows for Higgs mass calculations at the two-loop level in a wide range of supersymmetric (SUSY) models beyond the minimal supersymmetric standard model (MSSM)

  • The method is based on the two-loop effective potential approximation and provides the same numerical accuracy of Higgs masses in beyond MSSM models as commonly used spectrum generators do for the MSSM

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Summary

Introduction

The discovery of the Higgs boson has been so far the biggest success of the experiments at the Large Hadron Collider (LHC) [1,2]. The mass of the Higgs is already pinned down with an impressive experimental uncertainty of just a few hundred MeV in the range of 125–126 GeV This experimental accuracy is at the moment much better than theoretical predictions for the Higgs mass in any given model beyond the standard model (SM). In recent decades a lot of effort has been taken to calculate the Higgs mass in the minimal supersymmetric standard model (MSSM). This industry was initiated by the observation that stop corrections can lift the Higgs mass, which is bounded at treelevel to be below MZ , above the long existing LEP limit of 114 GeV [3–7]. The situation in non-minimal SUSY models has been relaxed with the development of the Mathematica package SARAH [73–77]: SARAH can automatically generate SPheno modules which allow for a full one-loop calculation in a wide range of SUSY models like singlet

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Calculation of loop corrected mass spectrum
The electroweak VEV v is expressed by the measured pole mass of the
Treating the Goldstones
Limitations
Validation
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How to use the routines
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Conclusion and outlook
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A.1: F F V and F F V
A.2: F F S and F F S
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Full Text
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