One Loop Corrections to the Rho Parameter in Higgsless Models

Details One Loop Corrections to the Rho Parameter in Higgsless Models One Loop Corrections to the Rho Parameter in Higgsless Models

2006-12-18

arxiv.org/abs/hep-ph/0612213v2

JHEP 0705:015,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, 5 figures

Scientific paper

10.1088/1126-6708/2007/05/015

A large class of deconstructed Higgsless model is known to satisfy the tree-level experimental bounds on the electroweak precision parameters. In particular, an approximate custodial symmetry insures that the tree-level $\rho$ parameter is exactly one, for arbitrary values of the model parameters, and regardless of fermion delocalization. In this note we expand on previous work by considering the fermionic one-loop contributions to $\rho$, which are essentially due to loops with top and bottom modes. We analyze the dependence on the number $N$ of internal SU(2) sites in models with a ``flat background''. We find that the new-physics contribution rapidly increases with $N$, to quickly stabilize for large values of $N$. Experimental upper bounds on $\rho$ translate into lower bounds on the mass of the heavy fermions. These, however, are weakly correlated to $N$, and the three-site model (N=1) turns out to be already an excellent approximation for the continuum model ($N\to\infty$).

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