tailieunhanh - A model of bulk supersymmetry in warped spacetime

The minimal supersymmetric extension of the standard model (MSSM) superfields propagate in the bulk between the UV and IR branes at separated orbifold fixed points, while the hidden sector in charge of supersymmetry breaking is confined on the UV brane. We derive the 4D effective action from the original 5D action of the underlying theory. The effective 4D Yukawa couplings and all the soft supersymmetry breaking terms are calculated in terms of the 5D theory’s coefficients. We comment on the important role of the bulk mass parameter in the relation with the geometrical properties of particles | Communications in Physics, Vol. 26, No. 2 (2016), pp. 111-120 DOI: A MODEL OF BULK SUPERSYMMETRY IN WARPED SPACETIME TRAN MINH HIEU† Hanoi University of Science and Technology, No. 1 Dai Co Viet road, Hanoi, Vietnam † E-mail: Received 04 July 2016 Accepted for publication 12 August 2016 Abstract. The Randall-Sundrum solution to the hierarchy problem in the brane-world scenario has made a significant impact on the development of model building. We investigate in this paper a model of supersymmetry in a 5D spacetime with the Randal-Sundrum warped metric. The minimal supersymmetric extension of the standard model (MSSM) superfields propagate in the bulk between the UV and IR branes at separated orbifold fixed points, while the hidden sector in charge of supersymmetry breaking is confined on the UV brane. We derive the 4D effective action from the original 5D action of the underlying theory. The effective 4D Yukawa couplings and all the soft supersymmetry breaking terms are calculated in terms of the 5D theory’s coefficients. We comment on the important role of the bulk mass parameter in the relation with the geometrical properties of particles. Keywords: supersymmetry, Randall-Sundrum, warped spacetime. Classification numbers: , . I. INTRODUCTION Although the standard model (SM) is very successful in describing the interactions between elementary particles, it is obviously not the ultimate theory of the nature. There are many theoretical and experimental problems that the SM cannot solve by itself. They are motivations for physics beyond the SM. One of the important questions needed to be addressed relates to the stability of the electroweak scale. It is well known that a theory with a scalar field such as the SM suffers from quadratic divergences when taking into account quantum corrections. According to that, the correction of the scalar mass which represents the electroweak scale is .