We study the production of Higgs and Z bosons which has been proposed as an option of e+e − collision at the ILC, CLIC with the polarization of the electron and positron beams in Randall-Sundrum model (RSM). The differential cross-sections are presented and numerical evaluation is given. Based on the results, we show that the advantageous direction to collect Higgs is perpendicular to the direction of the initial e− beam. With the high integrated luminosity and at the high degree of polarization, the reaction can give observable cross-sections in future accelerators (ILC, CLIC). | Communications in Physics, Vol. 26, No. 1 (2016), pp. 19-24 DOI: e+ e− → hZ COLLISION IN RANDALL-SUNDRUM MODEL DAO THI LE THUY† AND BUI THI HA GIANG Hanoi National University of Education, 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam † E-mail: thuydtl@ Received 04 March 2016 Accepted for publication 23 May 2016 Abstract. We study the production of Higgs and Z bosons which has been proposed as an option of e+ e− collision at the ILC, CLIC with the polarization of the electron and positron beams in Randall-Sundrum model (RSM). The differential cross-sections are presented and numerical evaluation is given. Based on the results, we show that the advantageous direction to collect Higgs is perpendicular to the direction of the initial e− beam. With the high integrated luminosity and at the high degree of polarization, the reaction can give observable cross-sections in future accelerators (ILC, CLIC). Keywords: ZZ coupling, Randall-Sundrum, electron beams. Classification numbers: . I. INTRODUCTION In 1999, Randall and Sundrum proposed a 5-dimensional model for solving the gauge hierarchy problem [1]. The RSM allows for a natural generation of the Planck-weak and fermion mass hierarchies [2]. Goldberger and Wise have proposed an attractive mechanism to stabilize the distance between two branes introducting a bulk scalar field which has scalar potentials on both branes [1]. In RSM, the extra dimension is assumed to be located on a S1 /Z2 orbifold, which has two fixed points, φ = 0 and φ = π. They correspond to high energy brane and the brane we live on, respectively. Graviton is the only particle propagating through the bulk between these two branes [3]. The space-time metric is given by ds2 = e−2ky ηµν dxµ dxν − dy2 , (1) where xµ (µ = 0, 1, 2, 3), y and k denote the coordinate of 4D space-time, that of a fifth dimension, and the AdS5 curvature, respectively. The Minkowski metric is ηµν = diag (1, −1, −1, −1) and e−2ky is .
