The lepton flavor violating interactions are worthwhile to examine since they are sensitive to physics beyond the Standard Model. The simplest extension of the Standard Model promoting the lepton flavor violating interactions are the so called two Higgs doublet model which contains an additional Higgs doublet carrying the same quantum numbers as the first one. In this model, the lepton flavor violating interactions are induced by new scalar Higgs bosons, scalar h^{0} and pseudo scalar A^{0}, and Yukawa couplings, appearing as free parameters, are determined by using the experimental data. On the other hand, the possible extra dimensions are interesting in the sense that they ensure a solution to the hierarchy and cosmological constant problems and also result in the enhancement in the physical quantities of various processes. In the present work, we predict the branching ratios of lepton flavor violating radion decays r-> e^{\pm},μ^{\pm}, r-> e^{\pm},τ^{\pm} and r->μ^{\pm},τ^{\pm} in the two Higgs doublet model, including a single extra dimension, in the framework of the Randall Sundrum scenario. We observed that the branching ratios of the processes we study are at most at the order of 10^{-8} for the small values of radion mass and it decreases with the increasing values of the radion mass. Among the LFV decays we study, the r->μ^{\pm},τ^{\pm} decay would be the most suitable one to measure its branching ratio.
In the Randall-Sundrum solution to the hierarchy problem, the fluctuations of the size of the extra dimension are characterized by a single scalar field, called the radion. The radion is expected to have a mass somewhat lower than the TeV scale with couplings of order 1/TeV to the trace of the energy momentum tensor. In addition, the radion can mix with the Higgs boson. Implications for phenomenology are briefly reviewed.
The radion may be the lightest new state present in the Randall-Sundrum(RS) model. We examine the couplings of the radion to the Standard Model(SM) fields in the scenario where they propagate in the bulk and expand into Kaluza-Klein towers. These couplings are then contrasted with those of the more familiar case where the SM fields are confined to the TeV brane. We find that the couplings of the radion to both $gg$ and $γγ$ can be significantly different in these two cases. Implications for radion collider phenomenology are discussed.
We consider Higgs pair production at the Large Hadron Collider (LHC) in a Randall-Sundrum scenario containing a radion field. It is shown that the enhanced effective coupling of the radion to gluons, together with contributions from a low-lying radion pole, can provide larger event rates compared to most new physics possibilities considered so far. We present the results for both an intermediate mass Higgs and a heavy Higgs, with a detailed discussion of the background elimination procedure.
In Randall-Sundrum models, one typically expects the radion to be the lightest new "gravity" state, as it is dual to a composite pseudo-Goldstone boson associated with conformal symmetry breaking in the IR. Here, we investigate the effects of localized brane curvature on the properties of the radion in Goldberger-Wise stabilized Randall-Sundrum models. We point out that both the radion mass and coupling to brane matter are sensitive to the brane curvature. Radion/Higgs kinetic mixing, via an IR-localized non-minimal coupling to the Higgs, is also investigated, in relation to the ghost-like rad…
In this talk I describe the low energy effective theory of the (supersymmetric) Randall-Sundrum scenario with arbitrary brane tensions. The distance between the branes is stabilized, at the classical level, by a potential for the radion field. In the supersymmetric case, supersymmetry can be broken by a VEV for the fifth-component of the graviphoton.
We study production and decay of a radion predicted in the Randall-Sundrum model at the LHC. The radion is a scalar particle and its production and decay channels are quite similar to those of the Higgs boson. We find constraints on the model parameter space taking account of the results of the Higgs boson search at the LHC. We also study a possibility discriminating the radion from the scalar particles in the other model such as the supersymmetric standard model at the LHC experiments.
In the stabilised Randall-Sundrum brane world scenario, the radion can have phenomenologically testable effects, which can be measured against precisely measured electroweak physics data. We investigate the effect of two loop radion corrections to $K_L$ - $K_S$ mass difference to set a bound on the radion mass and vacuum expectation value. It is found that the leading two loop corrections are of the order $[Log(\frac{Λ^2}{m_ϕ^2}) ]^2$ where $Λ$ is the cut-off scale ${\cal O}(\sim$TeV) and $m_ϕ$ is the radion mass.
In recent Letter by Cheung et al.[PRL {\bf 108},141602(2012)], one very interesting suggestion for the excess around 125 GeV seen at the LHC is a RS radion with $Λ_ϕ=680$GeV. In this note, we show that taking constraints on the RS graviton into account, it is unlikely to have a 125 GeV RS radion with $Λ_ϕ=680$GeV and accommodate with both experimental and theoretically constraints.
In this paper we calculate the $(g-2)_μ$ contribution due to a light stabilized radion using the radion couplings both to the kinetic energy and the mass term of the muon. We find that the $(g-2)_μ$ contribution due to radion diverges logarithmically with the cut off. We then show that the bound from precision EW data on radion phenomenology allows a sizable shift in the radion mediated muon anomaly that could be detected or tested with the present precision and certainly with the future precision for measuring muon anomaly.
The asymptotic behavior of metric perturbations in Randall-Sundrum infinite brane world is carefully investigated. Perturbations generated by matter fields on the brane are shown to be regular even at the future Cauchy horizon.
The Neutral $Z$ boson pair production due to radion resonance at the Large Hadron Collider (LHC) is an interesting process to explore the notion of warped geometry (Randall-Sundrum model). Because of the enhanced coupling of radion with a pair of gluons due to trace enomaly and top(quark) loop, the radion can provide larger event rate possibility as compared to any New Physics effect. Using the proper radion-top-antitop (with the quarks being off-shell) coupling, we obtain the correct radion production rate at LHC and explore several features of a heavier radion decaying into a pair of real $Z…
In the Randall-Sundrum model, the radion-Higgs mixing is weakly suppressed by the effective electroweak scale. A novel feature of the existence of gravity-scalar mixing would be a sizable three-point vertex among the KK graviton, Higgs and radion. We study this vertex in the process e^+ e^- -> h phi, which is allowed only with a non-zero radion-Higgs mixing. It is shown that the angular distribution is a unique characteristic of the exchange of massive spin-2 gravitons, and the total cross section at the future e^+ e^- collider is big enough to cover a large portion of the parameter space wher…
We predict the branching ratios of lepton flavor violating radion decays r -> e^{\pm} μ^{\pm}, r -> e^{\pm} τ^{\pm} and r -> μ^{\pm} τ^{\pm} in the two Higgs doublet model, in the framework of the Randall Sundurum scenario. We observe that the branching ratios of the processes we study are at most at the order of 10^{-8} for the small values of radion mass and it decreases with the increasing values of m_r. Among the LFV decays we study, the r -> τ^{\pm} μ^{\pm} decay would be the most suitable one to measure its branching ratio.
Phenomenology of a radion ($ϕ$) in the Randall-Sundrum scenario is discussed. The radion couples to the trace of energy momentum tensor of the standard model with a strength suppressed only by a new scale ($Λ_ϕ$) which is an order of the electroweak scale. In particular, the effective coupling of a radion to two gluons is enhanced due to the trace anomaly of QCD. Therefore, its production cross section at hadron colliders could be enhanced, and the dominant decay mode of a relatively light radion is $ϕ\to g g$, unlike the SM Higgs boson case. We also present constraints on the mass $m_ϕ$ and t…
We predict the branching ratios of the lepton flavor violating radion decays r -> e^{\pm} μ^{\pm}, r -> e^{\pm} τ^{\pm} and r ->μ^{\pm} τ^{\pm} in the framework of the Randall-Sundrum scenario that the lepton flavor violation is carried by the scalar unparticle mediation. We observe that their BRs are strongly sensitive to the unparticle scaling dimension and, for its small values, the branching ratios can reach to the values of the order of 10^{-8}, for the heavy lepton flavor case.
Phenomenology of a radion ($ϕ$) that stabilizes the modulus in the Randall-Sundrum scenario is considered. The radion couples to the trace of energy momentum tensor of the standard model (SM) with a strength suppressed only by a new scale ($Λ_ϕ$) of an order of the electroweak scale. In particular, the effective coupling of a radion to two gluons are enhanced due to the trace anomaly of QCD. Therefore, its production cross section at hadron colliders could be enhanced, and the dominant decay mode of a relatively light radion is $ϕ$ -> g g, unlike the SM Higgs boson case. We also present constr…
In this paper we study some low energy effects of a light stabilized radion in the Randall-Sundrum scenario. We find that the NLC 500 with its projected precision level will be able to probe the radion contribution to the anomalous magnetic moment and electric quadrupole moment of W boson for values of radion vev up to 500 Gev. On the other hand the BNL experiment E821 will be able to test the radion contribution to $a_μ$ for 1 Tev radion vev and $m_ϕ\le m_μ$. We have also shown that the higgs-radion mixing induces a 2.6% correction in the WWh coupling. Finally by comparing the radionstrahlung…
The physics of the Randall-Sundrum model relevant for future linear colliders is briefly summarized. The differences between the case where Standard Model(SM) fields are on the wall and where they are in the bulk are emphasized.
A warped extra dimension model proposed by Randall and Sundrum(RS) is one of the attractive candidates to solve the gauge hierarchy problem in the Standard Model. In a simplest version of the RS model, there are only two extra particles beyond the Standard Model - a spin-2 graviton (and its Kaluza-Klein excitations) and a radion which is a spin-0 and electrically neutral particle. In this paper, we discuss a possibility of discovering the radion at a photon collider, which has been considered as an option of $e^+ e^-$ liner collider (ILC), focusing on characteristic features of radion interact…
We study the stabilization of the radion in Randall-Sundrum-1 model by the Casimir energy of a bulk gauge field. The Casimir energy is proportional to a divergent, infinite summation over the zeros of a Wronskian of Bessel functions that implicitly depends on the radion vacuum expectation value, and its regularization and renormalization is the central issue. We carry out the correct regularization and renormalization by noting that analytic continuation must be performed only on functions that are independent of the radion vacuum expectation value. Thereby we find that the 1-loop effective po…
The spin-2 graviton excitations in the Randall-Sundrum gravity model provides a t-channel contribution to electron Compton scattering which competes favourably with the standard QED contributions. The phenomenological implications of these contributions to the unpolarized and polarized cross-sections are evaluated.
Assuming the Goldberger-Wise mechanism, we investigated the effective potential at the one-loop level in the Randall-Sundrum theory. We found the lower and upper bounds of the radion mass m_ϕand the radion-SM coupling constant, 0.8 GeV \lesssim m_ϕ\lesssim 260 GeV and 1400 GeV \lesssim Λ_ϕ\lesssim 1500 GeV for the one-loop level potential. These bounds were determined from two constraints of warp factor = O(M_W/M_{Pl}) and Higgs vev \simeq 246 GeV, which can produce strong bounds of m_ϕand Λ_ϕ. It is phenomenologically important that the one-loop allowed upper bound of the radion mass is about…
We study the process $e^- e^- \to e^- e^-$ at a high energy $e^- e^-$ collider including the effect of graviton exchanges in the warped gravity model of Randall and Sundrum. Discovery limits for gravitons are established and the effects of polarization are discussed.
We study polarized cross-sections and forward-backward asymmetry for the process $e^+e-\to τ^+τ^-$ in the stabilized Randall-Sundrum scenario. It is shown that there is substantial deviation from the Standard Model predictions, both in terms of the actual numerical values and angular distributions.
In this report we derive the couplings of the Randall-Sundrum radion to the standard model higgs boson. We then use these couplings to determine the J=0 partial wave amplitude for the process $hh\to hϕ$. We find that at very high energies (i.e. $s\gg m_h^2, \mp^2$) the s wave partial wave unitarity is violated if $m_h>m_c\approx \sqrt{16π\vphi v}$ where $\vphi$ is the radion vev. Interestingly this bound is independent of the radion mass to the leading order. We also consider the high energy behaviour of the transition amplitudes for some other processes in the RS scenario and compare them wit…
We discuss several methods which can be used to distinguish the graviton resonances of the Randall-Sundrum model from the graviton-like resonances which may occur in other theories. The Breit-Wigner line shape of the RS graviton is found to be particularly useful. In particular we show that the "effective" graviton resonance present in the model of Dvali et al ~can be distinguished from those of the Randall-Sundrum scenario for a reasonably wide range of model parameters.
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 $a_μ[= \frac{(g - 2)}{2}]$. Using the recent data (obtained from the E821 experiment of the BNL collaboration) which differs by $2.6 σ$ 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 $β(ł)$ and $β(g_t)$ of higgs quartic coupling ($ł$) and top-Yukawa coupling ($g_t$) gets modified. We find these modified beta functions. Using the…
A warped extra dimension model predicts an extra scalar particle beyond the Standard Model which is called a radion. Although interactions of the radion are similar to those of the Higgs boson in the Standard Model, a relatively light radion ($\lesssim 100 {\rm GeV}$) is not severely constrained from the Higgs search experiments at the LHC. In this paper we study discovery potential of the radion at a photon collider as an option of ILC. Owing to the trace anomaly of the energy-momentum tensor, both a production of radion in $γγ$ collision and its decay to gluon pair are enhanced sizably. We f…
The extremely small branching ratio of $b\to ss{\bar d}$ decay in the Standard Model makes it a suitable channel to explore new-physics signals. We study this $ΔS=2$ process in Randall-Sundrum models, including the custodially protected and the bulk-Higgs Randall-Sundrum models. Exploring the experimentally favored parameter spaces of these models, it suggests a possible enhancement of the decay rate, compared to the Standard Model result, by at most two orders of magnitude.
The effective gravitational interaction below the Planck scale in the Randall-Sundrum world is shown to be the Gauss-Bonnet term. In this theory we find that there exists another static solution with a positive bulk cosmological constant. Also, there exist solutions for positive visible sector cosmological constant, which are needed for a later Friedman-Robertson-Walker universe.
The cosmology of a brane-universe embedded in a higher dimensional bulk spacetime presents some peculiarities not seen in ordinary (3+1) dimensional gravity. I summarize the current understanding, with emphasis on the suggestion by Randall and Sundrum that the bulk is 5-D anti-deSitter space, leading to a solution of the weak scale hierarchy problem.
We study the radiative lepton flavor violating l_i -> l_jγdecays in the two Higgs doublet model, respecting the Randall Sundrum scenario and estimate the contributions of the KK modes of left (right) handed charged lepton doublets (singlets) on the branching ratios. We observe that the branching ratios are sensitive to the contributions of the charged lepton KK modes.
A detailed phenomenological analysis of neutral kaon mixing in "little Randall-Sundrum" models is presented. It is shown that the constraints arising from the CP-violating quantity epsilon_K can, depending on the value of the ultra-violet cutoff, be even stronger than in the original Randall-Sundrum scenario addressing the hierarchy problem up to the Planck scale. The origin of the enhancement is explained, and a bound Lambda_{UV}>several 10^3 TeV is derived, below which vast corrections to epsilon_K are generically unavoidable. Implications for non-standard Z->bb couplings are briefly discuss…
In this paper we determine how the beta funtion of the higgs self coupling λat one loop order is modified by a light stabilized radion in the Randall-Sundrum model. We then use the modified beta function to derive a lower bound on the radion vev <ϕ>, both for perturbative and non-perturbative values of λat the ultra violet cut off Λ. The lower bound on <ϕ> is obtained by demanding that the renormalized coupling λ(μ) at μ=100 GeV be consistent with the present experimental bound of 110 GeV on the higgs mass from LEP2 searches. We also show that if λ(Λ) is sufficiently small then an upper bound …
In the Randall-Sundrum model there can be a rich new phenomenology associated with Higgs-radion mixing. A photon-photon collider would provide a crucial complement to the LHC and a future ILC collider for fully determining the parameters of the model and definitively testing it.
We study the charged lepton electric dipole moments in the Randall Sundrum model where the leptons and the gauge fields are accessible to the extra dimension. We observe that the electron (muon; tau) electric dipole moment reaches to the value of the order of 10^{-26} e-cm (10^{-20} e-cm; 10^{-20} e-cm) with the inclusion of the lepton KK modes.
Recently proposed stabilization mechanism of the Randall-Sundrum metric gives rise to a scalar radion, which couples universally to matter with a weak interaction ($\simeq 1$ TeV) scale. Demanding that gauge boson scattering as described by the effective low enerrgy theory be unitary upto a given scale leads to significant constraints on the mass of such a radion.
We extend the Randall-Sundrum(RS) model by adding a fundamental scalar field in the bulk, then study the multi-field assisted inflationary solution on brane. We will show that this model satisfies not only the observation, but also provides a solution to hierarchy problem. Furthermore in comparison with the chaotic inflation model with a single field in four space-time dimension, the parameters in our model required for a successful inflation are natural.
We study 5D gauge symmetries in the Randall-Sundrum geometry that are hidden from the standard model through either small 5D gauge coupling, or through vanishing quantum numbers for the standard model fields. Geometric warping of 5D gravity creates a TeV scale bridge from the standard model to the hidden sector gauge fields. We apply these concepts to a revival of the electroweak axion model, in which the dynamics of Peccei-Quinn symmetry breaking occur at the TeV scale.
In the framework of Randall-Sundrum model, we discuss the evolution of microscopic black holes created by cosmic particles hitting a neutron or a strange star. We set up the general equations of evolution for the black hole mass and momentum in a dense medium, and discuss the possibility of collapse due to the black hole's growth inside the star.
In this paper we determine how the beta function for the top Yukawa coupling to one loop is modified by a light stabilized radion in the Randall-Sundrum model. We then use this beta function together with β(λ) to deteremine lower bounds on the radion vev <ϕ> for different values of λ(m_z) and m_ϕ by demanding that both g_t(μ) and λ(μ) should remain perturbative from m_z up ot the cut off Λ. We find that the lower bounds on <ϕ> that follow from the condition λ(Λ)<\sqrt{4π} nearly agree with those that follow from g_t(Λ)<\sqrt{4π}. We have also determined the critical value of <ϕ> for different …
I present phenomenological implications of the Randall-Sundrum model for indirect searches, specifically a selection of flavor observables and Higgs-related collider searches. I review the interplay of constraints from CP violation in flavor physics, possible effects in rare decays, and model-specific protection mechanisms. Deviations in the Higgs couplings to fermions and, at one-loop, to gluons are unexpectedly strong and lead to strong modifications in Higgs searches.
The Randall-Sundrum model with gauge fields and fermions in the bulk has several attractive features including the gauge coupling unification, a candidate for the dark matter, and an explanation for the hierarchical Yukawa couplings. In this paper, we point out that the 1st Kaluza-Klein modes of right-handed neutrinos may be produced at colliders, for both Dirac and Majorana neutrino cases. Furthermore, we can see whether the neutrino masses are Dirac type or Majorana type from the mass spectrum of KK particles.
We study the effects of localization of the U(1)_Y gauge boson around the visible brane and the contributions of the KK modes of Z bosons on the BR of the LFV τ-> μ\bar{ν_i} ν_i decay. We observe that the BR is sensitive to the amount of localization of Z boson in the bulk of the Randall Sundrum background.
The dynamical fermion mass generation on the D3-brane in the Randall-Sundrum space-time is discussed in a model with bulk fermions in interaction with fermions on the branes. It is found that the dynamical fermion masses are generated at the natural (R.-S.) radius of the compactified extra space and may be made small compared with masses of the Kaluza-Klein modes which is of order of TeV.
We calculate the $B\Bbar$ mixing in the Randall-Sundrum bulk model. In this model, all the Standard Model fields except the Higgs can reside in the bulk. Two suggestive models of "mixed" and "relaxed" scenarios are considered. We find that the enhancement of the loop function is 0.51% for the "relaxed" and 1.07% for the "mixed" scenario when the first 4th KK modes are included, for a bulk fermion mass parameter $ν=-0.3$.
Quantum interference of helicity amplitudes provides a powerful tool for measuring the spins of new particles. By looking at the azimuthal angular dependence of the differential cross-section in the production followed by decay of a new particle species one can determine its spin by looking at the various cosine modes. The heavy spin-2 Kaluza-Klein (KK) graviton provides a unique signature with a $\cos{(4 ϕ)}$ mode. We study the feasibility of this approach to measuring the spin of the KK graviton in the Randall-Sundrum Model at the LHC.
Characteristic features of dynamical symmetry breaking are investigated in Randall-Sundrum (RS) background. To study the influence of bulk fermion or bulk gauge field I consider a five-dimensional four-fermion interaction model and a non-Abelian gauge field theory as simple models where the chiral symmetry is broken down dynamically. Using a four-dimensional Lagrangian induced from the five-dimensional theory, I calculate the dynamically generated fermion mass and show how the extra dimension affects the chiral phase transition in the RS background.
The Randall Sundrum (RS) models receive significant constraints from the neutral Kaon system. The CP violating observable $ε_K$, in Randall Sundrum scenario, requires the lightest KK gluon to be heavier than $\sim$ 24 TeV. The constraint is even stronger in the Little Randall Sundrum models (LRS), $\gtrsim$ 32 TeV. The LRS models are motivated for their possible visibility at the Large Hardon Collider (LHC). We show that the stringent constraints from K-physics can be relaxed in the LRS models, in the presence of the Brane Localised Kinetic Terms (BLKT). In particular, for a range of values, a…
We study the radiative lepton flavor violating l_1->l_2γdecays in the two Higgs doublet model with localized new Higgs doublet in the Randall Sundrum background. We estimate the contributions of the KK modes of new Higgs bosons and left (right) handed charged lepton doublets (singlets) on the branching ratios of the decays considered. We observe that there is an enhancement in the branching ratios with the addition of new Higgs boson and lepton KK modes.
There are many interesting issues in the brane world with a large/warped extra dimension. We focus on the cosmological aspects. We review the cosmological solutions of the brane world and how the conventional four-dimensional cosmology is recovered by including the effect of stabilization. Its implications on the mass hierarchy and the cosmological constant are discussed.
We present next-to-leading order QCD corrections to production of two $W$ bosons at the LHC in the Randall-Sundrum model. Various kinematical distributions are obtained to order $α_s$ in QCD by taking into account all the parton level subprocesses. We estimate the impact of the QCD corrections on various observables and find that they are significant. We also show the reduction in factorization scale uncertainty when ${\cal O}(α_s)$ effects are included.
We investigate inflation with a class of concave inflaton potentials of the form $\sim ϕ^n$ $(0<n<1)$ in the Randall-Sundrum model with an infinite extra spatial dimension. We show that this class of models is much more in good agreement with observations compared to the standard inflation. We also find the range of the five-dimensional Planck scale ($M_5$) and show that large tensor-to-scalar ratios do not eliminate small-field inflation in braneworld cosmology.
We compute the pair production cross section of two Kaluza Klein modes in the Randall-Sundrum model at $e^+e^-$ and hadron hadron colliders. These processes are interesting because they get dominant contribution from the graviton interaction at next to leading order. Hence they provide a nontrivial test of the low scale gravity models. All the Feynman rules at next to leading order are also presented. These rules may be useful for many phenomenological applications including the computation of higher order loop corrections.
We investigate a dynamical mechanism to generate fermion mass in the Randall-Sundrum background. We consider four-fermion interaction models where the fermion field propagates in an extra-dimension, i.e. the bulk four-fermion interaction model. It is assumed that two types of fermions with opposite parity exist in the bulk. We show that electroweak-scale mass is dynamically generated for a specific fermion anti-fermion condensation, even if all the scale parameters in the Lagrangian are set to the Planck scale.
We study the top pair production cross section at the LHC in the context of Randall-Sundrum model including the Kaluza-Klein (KK) excited gravitons. It is shown that the recent measurement of the cross section of this process at the LHC restricts the parameter space in Randall-Sundrum (RS) model considerably. We show that the coupling parameter ($\frac{k}{\bar{M}_{pl}}$) is excluded by this measurement from 0.03 to 0.22 depending on the mass of first KK excited graviton ($m_1$). We also study the effect of KK excitations on the spin correlation of the top pairs. It is shown that the spin asymm…
Model building within the Randall-Sundrum (RS) framework generally involves placing the Standard Model fields in the bulk. Such fields may possess non-zero values for their associated brane-localized kinetic terms (BLKTs) in addition to possible bulk mass parameters. In this paper we clearly identify the regions of the RS model parameter space where the presence of bulk mass terms and BLKTs yield a setup which is free from both ghost and tachyon instabilities. Such physically acceptable parameter space regions can then be used to construct realistic and phenomenologically viable RS models.
Virtual effects of gravitons in the production of diphotons at the upgraded Tevatron and at the LHC are analysed with the idea of probing the parameter space of the Randall-Sundrum (RS) model. It is shown that this process yields stringent constraints on the parameter space of the RS model. We show that data on diphoton production from Tevatron Run II will be sensitive to a masses of the first graviton resonance in the range of 700-1150 GeV, while at LHC the mass range probed will be in the region of 3.5 -- 5.5 TeV.
The first results on next-to-leading order QCD corrections to production of two $Z$ bosons in hadronic collisions in the extra dimension model of Randall and Sundrum are presented. Various kinematical distributions are obtained to order $α_s$ in QCD by taking into account all the parton level subprocesses. We estimate the impact of the QCD corrections on various observables and find that they are significant. We also show the reduction in factorization scale uncertainty when ${\cal O}(α_s)$ effects are included.