he production of the Higgs boson in the yu− collision process with the polarization of the muon beam is studied indetail. The value of differential cross-section is greatest when the angle between the direction of the beam Higgs boson and beam u− approximately 180 degrees. | JOURNAL OF SCIENCE OF HNUE DOI Mathematical and Physical Sci. 2015 Vol. 60 No. 7 pp. 137-145 This paper is available online at http HIGGS BOSON PRODUCTION IN γµ COLLISION IN THE RANDALL-SUNDRUM MODEL Dao Thi Le Thuy1 and Le Nhu Thuc2 1 Faculty of Physics Hanoi National University of Education 2 Department of Postgraduate Studies Hanoi National University of Education Abstract. The production of the Higgs boson in the γµ collision process with the polarization of the muon beam is studied indetail. The value of differential cross-section is greatest when the angle between the direction of the beam Higgs boson and beam µ approximately 180 degrees. For the total cross-section is greatest in high energy region. Based on this results we hope that the reaction can give observable cross-section in Larger Hadron Collider LHC at the high degree of polarization. Keywords Higgs boson RS cross-section. 1. Introduction The LHC discovery of a 126 GeV Higgs boson 1 2 confirms the great success of the SM in describing electroweak phenomena but with SM there are still many unanswered issues 3 . One is the question of hierarchy that arises from the quadratic divergence of the Higgs mass suggesting the presence of some underlying physics in the gauge symmetry breaking mechanism that is so far unknown. Another issue is that the SM does not specify the Yukawa structures has no justification for the number of generations and it does not offer an explanation for the large hierarchy of the fermion masses which exceed a range of five orders of magnitude in the quark sector and a much wider range when neutrinos are included. The gauge hierarchy problem is one of the driving theoretical reasons for the invention and necessity of new physics at the electroweak scale. Its strength can be quantified as a technical naturalness problem induced by the instability of the electroweak scale under radiative corrections which gains severity given the .