Abstract
We investigate the determination of the Higgs-boson propagator poles in the MSSM. Based upon earlier works, we point out that in case of a large hierarchy between the electroweak scale and one or more SUSY masses a numerical determination with DR Higgs field renormalization induces higher order terms which would cancel in a more complete calculation. The origin of these terms is the momentum dependence of contributions involving at least one of the heavy particles. We present two different methods to avoid their appearance. In the first approach, the poles are determined by expanding around the one-loop solutions. In the second approach, a “heavy-OS” Higgs field renormalization is employed in order to absorb the momentum dependence of heavy contributions. We will find that the first approach leads to an unwanted behavior of the Higgs boson mass predictions close to crossing points where two Higgs bosons that mix with each other are almost mass degenerate. These problems are avoided in the second approach, which became the default approach used in the public code FeynHiggs. Despite the discussion being very specific to the MSSM, the argumentation and the methods presented in this work are straightforwardly applicable to the determination of propagator poles in other models involving a large mass hierarchy.
Highlights
(MSSM) [4, 5], based upon the concept of supersymmetry (SUSY)
We investigate the determination of the Higgs-boson propagator poles in the MSSM
Despite the discussion being very specific to the MSSM, the argumentation and the methods presented in this work are straightforwardly applicable to the determination of propagator poles in other models involving a large mass hierarchy
Summary
We present a short overview of the MSSM Higgs sector and its renormalization. We restrict our discussion to the one- and two-loop level. We neglect all first and second generation as well as the tau Yukawa coupling. This corresponds to the accuracy level of the fixed-order corrections implemented as default in FeynHiggs [22,23,24,25,26, 29,30,31,32,33,34,35,36,37,38,39,40,41].2. The discussion is especially focused on the Higgs field renormalization, which is of particular importance in this paper. The conventions follow closely those of e.g. [26, 39]
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