Muon anomaly and a lower bound on higgs mass due to a light stabilized radion in the Randall-Sundrum model

Abstract

We investigate the Randall-Sundrum model with a light stabilized radion (required to fix the size of the extra dimension) in the light of muon anomalous magnetic moment $a_\mu [= \frac{(g - 2)}{2}]$. Using the recent data (obtained from the E821 experiment of the BNL collaboration) which differs by $2.6 \sigma$ from the Standard Model result, we obtain constraints on radion mass $\mphi$ and radion vev $\vphi$. In the presence of a radion the beta functions $\beta(\l)$ and $\beta(g_t)$ of higgs quartic coupling ($\l$) and top-Yukawa coupling ($g_t$) gets modified. We find these modified beta functions. Using these beta functions together with the anomaly constrained $\mphi$ and $\vphi$, we obtain lower bound on higgs mass $m_h$. We compare our result with the present LEP2 bound on $m_h$.