The Higgs effective potential in the Littlest Higgs model at the one-loop level

Abstract

In this work we compute the contributions to the Higgs effective potential coming from the fermion and gauge boson sectors at the one-loop level in the context of the SU(5)/SO(5) Littlest Higgs (LH) model using a cutoff Lambda and including all finite parts. We consider both, the (SU(2)xU(1))_{1} x (SU(2)xU(1))_{2} and the (SU(2)xU(1))_{1} x (SU(2)xU(1)) gauge group versions of the LH model. We also show that the Goldstone bosons present in the model do not contribute to the effective potential at the one-loop level. Finally, by neglecting the contribution of higher dimensional operators, we discuss the restrictions that the new one-loop contributions set on the parameter space of the LH model and the need to include higher loop corrections to the Higgs potential.

LaTeX, 13 pages, 6 figures. Discussion and references added. New figures included. Published version in Phys.Rev.D

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• W physics at the ILC with polarized beams as a probe of the Littlest Higgs Model
• Radiative corrections to the Higgs potential in the LH model
• Towards the effective potential of the Littlest Higgs model