MSSM Higgs-boson mass predictions and two-loop non-supersymmetric counterterms

Wolfgang Hollik,Dominik Stöckinger

doi:10.1016/j.physletb.2006.01.030

Wolfgang Hollik, Dominik Stöckinger

Open Access

https://doi.org/10.1016/j.physletb.2006.01.030

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Abstract

The evaluation of Yukawa-enhanced two-loop contributions to the MSSM Higgs-boson mass is considered. We prove the common assumption that regularization by dimensional reduction preserves supersymmetry at the required level. Thus generating counterterms by multiplicative renormalization is correct. Technically, we identify a suitable Slavnov–Taylor identity, use a recently developed method to evaluate it at the two-loop level, and show that it is valid in dimensional reduction.

Highlights

The prediction of the mass of the lightest Higgs boson is one of the most striking features of the Minimal Supersymmetric Standard Model (MSSM)
The LEP exclusion bound of 114.4 GeV [1] for the mass of a standard model (SM)-like Higgs boson allows to derive stringent constraints on the MSSM parameter space
For the purpose of the present paper we have rederived this operator for the case of the MSSM, taking into account both symmetry breakings in the way defined in Ref. [33]

Summary

Introduction

The prediction of the mass of the lightest Higgs boson is one of the most striking features of the Minimal Supersymmetric Standard Model (MSSM). Dimensional reduction was in agreement with the required supersymmetry relations These checks are sufficient to prove that multiplicative renormalization is correct for the one-loop counterterms of the Higgs, quark and squark sectors entering the two-loop calculation of Mh at the level of one-loop subrenormalization. These results, do not constitute a proof that dimensional reduction preserves supersymmetry at the two-loop level They cannot exclude that supersymmetry is broken by a finite amount, which could be relevant for precision calculations of Mh. In the case of supersymmetry-breaking by the method of regularization, extra symmetry-restoring counterterms have to be added as discussed e.g. in Refs. The Slavnov-Taylor identities are evaluated using the method of Ref. [29]

Higgs potential and counterterms

Relevant Slavnov-Taylor identities

Evaluation of the Slavnov-Taylor identities

Conclusions