Oblique Corrections in the MSSM at One Loop. I. Scalars

TL;DR

This paper recalculates the one-loop oblique corrections from scalar superpartners in the MSSM, providing explicit formulas for gauge boson self-energies and the S, T, U parameters to aid in constraining the model's parameter space.

Contribution

It offers a complete set of one-loop self-energy correction formulas for scalars in the MSSM, clarifying discrepancies with previous results on oblique parameters.

Findings

Results agree with some prior studies on self-energies.

Discrepancies found in S, T, U parameters compared to previous work.

Provides tools for MSSM parameter space analysis.

Abstract

This paper is devoted to reconsider the one-loop oblique corrections arising from the scalar superpartners in the MSSM, i.e, the squarks, the sleptons and the scalars in Higgs sector. We explicitly present the complete one-loop forms of self-energy corrections to the gauge bosons of SM electroweak gauge groups, as well as their descendants the $S$, $T$ and $U$ parameters, which can be directly applied to constrain the parameter space of the MSSM. Our results about one-loop self energies are found to agree with Drees, Hagiwara, and Yamada (1992), Pierce et al. (1997). Nevertheless, the $S$, $T$ and $U$ parameters aren't in agreement with Dobado, Herrero and Penaranda (1999).