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Oblique corrections in the MSSM at one-loop. Part I: Scalars. (English) Zbl 1328.81260

Summary: This paper is devoted to reconsider the one-loop oblique corrections arising from the scalar superpartners in the MSSM, that is, 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 [M. Drees, K. Hagiwara and A. Yamada, “Process-independent radiative corrections in the minimal supersymmetric standard model”, Phys. Rev. D (3) 45, No. 5, 1725–1743 (1992; doi:10.1103/PhysRevD.45.1725)] and [D. M. Pierce et al., “Precision corrections in the minimal supersymmetric standard model”, Nucl. Phys., B 491, No. 1–2, 3–67 (1997; doi:10.1016/S0550-3213(96)00683-9)]. Nevertheless, the \(S\), \(T\), and \(U\) parameters are not in agreement with [A. Dobado, M. J. Herrero and S. Peñaranda, “Decoupling of supersymmetric particles”, Eur. Phys. J. C, Part. Fields 7, No. 2, 313–339 (1999; doi:10.1007/s100529800993)].

MSC:

81V22 Unified quantum theories
81V15 Weak interaction in quantum theory
81T18 Feynman diagrams
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
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