Quantum effects of compactified AdS₅ geometry on the higgs potential

In this paper we determine the one loop radiative correction to the higgs potential due to quantum fluctuations about the background metric of Randall-Sundrum model. We then examine the effects of the one loop effective potential on the stability of the classical vacuum paying particular attention to the tadpole terms which could dominate over the classical potential for small field configurations. We find that although the one loop potential due to scale fluctuations could develop a tadpole term in certain regions of the parameter space, it is positive for either sign of H. The quadratic and quartic terms in the radiative correction are too small to cause any instability to the classical vacuum for field configurations that do not violate the limits of ordinary perturbation theory.