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Higgs effective potential in the littlest Higgs model at the one-loop level

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2007-04
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Tabares Cheluci, Lourdes
Peñaranda , Siannah
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American Physical Society
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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) x U(1))(1) x (SU(2) x U(1))(2) and the (SU(2) x U(1))(1) x (SU(2) x U(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.
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© 2007 The American Physical Society. This work is supported by DGICYT (Spain) under Project No. BPA2005-02327. The work of S. P. is supported by the I3P-Contract of CSIC at IFIC—Instituto de Física Corpuscular, Valencia. The work of L. TabaresCheluci is supported by a FPU grant from the Spanish M.E.C.
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