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Supersimple analysis of $e^{-} e^{+} \to t \bar{t}$ at high energy

G. J. Gounaris¹ and F. M. Renard²

¹Department of Theoretical Physics, Aristotle University of Thessaloniki, Gr-54124, Thessaloniki, Greece
²Laboratoire Univers et Particules de Montpellier, UMR 5299, Université Montpellier II, Place Eugène Bataillon CC072 F-34095 Montpellier Cedex 5

Phys. Rev. D 86, 013003 – Published 3 July, 2012

DOI: https://doi.org/10.1103/PhysRevD.86.013003

Abstract

According to supersimplicity in MSSM, a renormalization scheme (SRS) may be defined for any high-energy 2-to-2 process, to the 1loop EW order; where the helicity conserving (HC) amplitudes, are expressed as a linear combination of just three universal logarithm-involving forms. All other helicity amplitudes vanish asymptotically. Including to these SRS amplitudes the corresponding counterterms, the supersimple expressions for the high-energy HC amplitudes, renormalized on-shell, are obtained. Previously, this property was noted for a large number of processes that do not involve Yukawa interactions or renormalization group corrections. Here we extend this to $e^{-} e^{+} \to t \bar{t}$ , which does involve large Yukawa and renormalization group contributions. We show that the resulting supersimple expressions may provide an accurate description, even at energies comparable to the SUSY scale. Such descriptions clearly identify the origin of the important SUSY effects, and they may be used for quickly constraining physics contributions, beyond MSSM.

Article Text

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