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20 April 2024
 
  » arxiv » hep-ph/0206192

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The scalar sector of the Randall-Sundrum model
D. Dominici ; B. Grzadkowski ; J.F. Gunion ; M. Toharia ;
Date 20 Jun 2002
Journal Nucl.Phys. B671 (2003) 243-292
Subject hep-ph
AffiliationFlorence), B. Grzadkowski (Warsaw), J.F. Gunion and M. Toharia (U.C. Davis
AbstractWe derive the effective potential for the Standard Model Higgs-boson sector interacting with Kaluza-Klein excitations of the graviton ($h_mu^{ u n}$) and the radion ($phi$) and show that {it only} the Standard Model vacuum solution of $partial V(h)/partial h =0$ (h is the Higgs field) is allowed. We then consider the consequences of the curvature-scalar mixing xi R Hhat^dagger Hhat$ (where $Hhat$ is a Higgs doublet field on the visible brane), which causes the physical mass eigenstates h and $phi$ to be mixtures of the original Higgs and radion fields. First, we discuss the theoretical constraints on the allowed parameter space. Next, we give precise procedures for computing the h and $phi$ couplings given the {it physical} eigenstate masses, mh and $mphi$, xi and the new physics scales of the model. We show that LEP/LEP2 data implies that not both the h and $phi$ can be light. In the allowed region of parameter space, we examine numerically the couplings and branching ratios of the h and $phi$ for several cases with $mh=120gev$ and $mphileq 300gev$. The resulting prospects for detection of the h and $phi$ at the LHC, a future LC and a $gamgam$ collider are reviewed. For moderate $|xi|$, both the anomalous $h o gg$ coupling and (when $mh>2mphi$) the non-standard decay channel $h o phiphi$ can substantially impact h discovery. Presence of the latter is a direct signature for non-zero xi. We find that $BR(h o phiphi)$ as large as $30 div 40 %$ is possible when $|xi|$ is large. Conversely, if $mphi>2mh$ then $BR(phi o hh)$ is generally large. The feasibility of experimentally measuring the anomalous gg and $gamgam$ couplings of the h and $phi$ is examined.
Source arXiv, hep-ph/0206192
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