Hidden fine tuning in the quark sector of little higgs models

Abstract

In little higgs models a collective symmetry prevents the higgs from acquiring a quadratically divergent mass at one loop. By considering first the littlest higgs model we show that this requires a fine tuning: the couplings in the model introduced to give the top quark a mass do not naturally respect the collective symmetry. We show the problem is generic: it arises from the fact that the would be collective symmetry of any one top quark mass term is broken by gauge interactions.

15 pages, 1 figure

References in corpus (2)

• Little Higgs Models and Their Phenomenology
• Top quark induced vacuum misalignment in little higgs models

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