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The bhabha scattering in Randall-sundrum Model

The change in other two fermion processes is called Bhabha process. In this paper, we discuss the Bhabha process in the Randall –Sundrum (RS). We caculated the cross section for photon , boson Z, radion and Higgs h exchange and evaluated exchange contributions of the Bhabha process in detail. | VNU Journal of Science: Mathematics – Physics, Vol. 34, No. 4 (2018) 1-8 The Bhabha Scattering in the Randall-sundrum Model Le Nhu Thuc* Hanoi National University of Education (HNUE), 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam Received 26 September 2018 Revised 26 October 2018; Accepted 17 December 2018 Abstract: The change in other two fermion processes is called Bhabha process. In this paper, we discuss the Bhabha process e e e e in the Randall –Sundrum (RS). We caculated the cross section for photon , boson Z, radion and Higgs h exchange and evaluated exchange contributions of the Bhabha process in detail. Keywords: DCS, cross-section, Bhabha, radion, Randall-Sundrum. 1. Introduction The RS model [1] can solve the hierarchy problem by localizing all the Standard model (SM) particles on the IR brane. This model predicts two new particles beyond the SM. One is a spin-2 graviton and another is a scalar-field radion which is a metric fluctuation along the extra dimension. The mass of radion is expected to be of the order of GeV. Therefore, the radion is expected to be the first signature of warped extra dimension models in direct search experiments such as the Large Hadron Collider (LHC) [2 - 8]. The Bhabha scattering has been studing in models beyond the SM, and it is also compared ILC250 to LEP2 and LHC [9]. In this paper, we discuss the radion and Higgs exchange contributions in the cross section of the Bhabha scattering in the RS model. We hope that, the Bhabha channel suggests the best way to study radion and Higgs. 2. The cross-section of the proces e e e e The Feynman diagrams of the process e e e e are shown in Fig. 2.1. __ Tel.: 84-982004689. Email: thucln@hnue.edu.vn https//doi.org/ 10.25073/2588-1124/vnumap.4292 1 2 L.N. Thuc / VNU Journal of Science: Mathematics – Physics, Vol. 34, No. 4 (2018) 1-8 Fig 2.1. The Feynman diagrams for the process e e e e . Using the Feynman rules for Fig 2.1, .