hep-ph/0211124 Ê
Big Corrections from a Little Higgs
Authors: C. Csaki, J. Hubisz, G.D. Kribs, P. Meade, J. Terning
Journal-ref: Phys.Rev. D67 (2003) 115002
We calculate the tree-level expressions for the electroweak precision
observables in the SU(5)/SO(5) littlest Higgs model. The source for these
corrections are the exchange of heavy gauge bosons, explicit corrections due to
non-linear sigma-model dynamics and a triplet Higgs VEV. Weak isospin violating
contributions are present because there is no custodial SU(2) global symmetry.
The bulk of these weak isospin violating corrections arise from heavy gauge
boson exchange while a smaller contribution comes from the triplet Higgs VEV. A
global fit is performed to the experimental data and we find that throughout the
parameter space the symmetry breaking scale is bounded by f > 4 TeV at 95% C.L.
Stronger bounds on f are found for generic choices of the high energy gauge
couplings. We find that even in the best case scenario one would need fine
tuning of less than a percent to get a Higgs mass as light as 200 GeV.