arXiv:hep-ph/0206192·v1·High Energy Physics — Phenomenology

The scalar sector of the Randall-Sundrum model

D. Dominici (Florence)🇮🇹 · B. Grzadkowski (Warsaw)🇵🇱 · J.F. Gunion🇺🇸 · M. Toharia (U.C. Davis)🇺🇸

Abstract

We derive the effective potential for the Standard Model Higgs-boson sector interacting with Kaluza-Klein excitations of the graviton ( $h_{μ}^{ν n}$ ) and the radion ( $ϕ$ ) 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 $(w h er e$ \Hhat $i s a H i g g s d o u b l e t f i e l d o n t h e v i s ib l e b r an e), w hi c h c a u ses t h e p h y s i c a l ma sse i g e n s t a t es han d$ \phi $t o b e mi x t u r eso f t h eor i g ina l H i g g s an d r a d i o n f i e l d s . F i r s t, w e d i sc u ss t h e t h eor e t i c a l co n s t r ain t so n t h e a l l o w e d p a r am e t er s p a ce . N e x t, w e g i v e p r ec i se p r oce d u r es f or co m p u t in g t h e han d$ \phi $co u pl in g s g i v e n t h e physical e i g e n s t a t e ma sses, mhan d$ \mphi $, x ian d t h e n e w p h y s i cssc a l eso f t h e m o d e l . W es h o w t ha t L E P / L E P 2 d a t aim pl i es t ha t n o t b o t h t h e han d$ \phi $c anb e l i g h t . I n t h e a l l o w e d r e g i o n o f p a r am e t er s p a ce, w ee x amin e n u m er i c a l l y t h eco u pl in g s an d b r an c hin g r a t i oso f t h e han d$ \phi $f or se v er a l c a ses w i t h$ \mh=120\gev $an d$ \mphi\leq 300\gev $. T h er es u l t in g p r os p ec t s f or d e t ec t i o n o f t h e han d$ \phi $a tt h e L H C, a f u t u r e L C an d a$ \gam\gam $co l l i d er a r er e v i e w e d . F or m o d er a t e$ |\xi| $, b o t h t h e an o ma l o u s$ h\to gg $co u pl in g an d (w h e n$ \mh>2\mphi $) t h e n o n - s t an d a r dd ec a y c hann e l$ h \to \phi\phi $c an s u b s t an t ia l l y im p a c t h d i sco v er y . P r ese n ceo f t h e l a tt er i s a d i r ec t s i g na t u r e f or n o n - z er o x i . W e f in d t ha t$ BR(h \to \phi\phi) $a s l a r g e a s$ 30 \div 40 % $i s p oss ib l e w h e n$ |\xi| $i s l a r g e . C o n v er se l y, i f$ \mphi>2\mh $t h e n$ BR(\phi\to hh) $i s g e n er a l l y l a r g e . T h e f e a s ibi l i t y o f e x p er im e n t a l l y m e a s u r in g t h e an o ma l o u s g g an d$ \gam\gam $co u pl in g so f t h e han d$ \phi$ is examined.

Comments: 62 page, 30 figures. Because some figures had to be reduced in resolution, they will only accurately appear in magnified ghostview. For full abstract see paper

The scalar sector of the Randall-Sundrum model

Abstract

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