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Higher dimensional operators in top quark condensation from a renormalization group point of view

Andreas Blumhofer*

Richard Dawid†

Johannes Manus‡

  • Sektion Physik, Ludwig-Maximilians-Universität München, Theresienstrasse 37, D-80333 München, Germany

  • Institut für Theoretische Physik, Universität Wien, Boltzmanngasse 5, A-1090 Wien, Austria

  • Institut für Theoretische Physik, Technische Universität München, James-Franck-Straße, D-85748 Garching, Germany

  • *Email address: Blumhofer@Photon.HEP.Physik.Uni-Muenchen.DE
  • †Email address: Richard.Dawid@Merlin.PAP.Univie.AC.AT
  • ‡Email address: Johannes.Manus@Physik.TU-Muenchen.DE
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Phys. Rev. D 58, 035009 – Published 6 July, 1998

DOI: https://doi.org/10.1103/PhysRevD.58.035009

Abstract

The predictive power of top quark condensation models strongly depends on the behavior of higher dimensional operators. These are analyzed in this paper by an extension of the standard renormalization group (RG) arguments, which turns out to be a surprisingly powerful tool. Top quark condensation models intermediated by underlying scalar exchange can be shown to be mere reparametrizations of the standard model. Further on, RG arguments show that dynamical vector states cannot be lowered in top quark condensation models. Finally, we give a general argument concerning the size of higher dimensional operators of heavy vector exchange.

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Outline

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Phys. Rev. D 58, 035009– Published 6 July, 1998
  • Received 17 November 1997

© 1998 American Physical Society

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