VNU Journal of Science: Mathematics – Physics, Vol. 35, No. 4 (2019) 93-98 93 Original Article  Higgs and Vector Unparticle Production via    Collision in the Randall – Sundrum Model Nguyen Thi Hau 1,* , Dao Thi Le Thuy 2 1 Hanoi University of Mining and Geology, 18 Pho Vien, Dong Ngac, Hanoi, Vietnam 2 Faculty of Physics, Hanoi National University of Education, 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam Received 14 September 2019 Revised 08 November 2019; Accepted 11 November 2019 Abstract: We study the production of Higgs boson and vector U  unparticle which has been proposed as an option of    collision by s, t, u-channels in the Randall-Sundrum model. The cross-section is presented and numerical evaluation is detailed. Our results reveal that the cross- section increases fastly as 1.8 2 U d   . The advantageous directions to collect Higgs boson and U  are the same or opposite direction to the initial muon beams by s-channel. The U  exchange contribution is much larger than muon exchange contribution. Keywords: Randall - Sundrum model, cross-section, Higgs, vector unparticle, muon. 1. Introduction The discovery of Higgs boson in 2012 at the LHC [1, 2] verify the correctness of the standard model, but it still has many unanswered issues [3]. In order to solve this remaining problems, the extended models are proposed. In this paper, we are interested in two extended models, namely the Randall- Sundrum model and unparticle physics. The Randall-Sundrum model [4] is one of the extended models that brings many new physical consequences. This model extends 4-dimensional space-time with x  coordinates to 5-dimensional space-time with coordinates ( ,) x   . The fifth dimension is a single 1 2 / S Z orbifold of radius r. The 5- ________  Corresponding author. Email address: nguyenthihau@humg.edu.vn https//doi.org/ 10.25073/2588-1124/vnumap.4375