tailieunhanh - Squarks decay into quarks and gluino in the MSSM

The formulae for the decay width and numerical results are obtained. We have calculated the conclusion of the one-loop vertex correction, wave-function correction and renormalization of the bare couplings to the decay width. We revealed that the effect of the complex parameters At and Ab could be quite significant in a large region of the MSSM parameter space. | JOURNAL OF SCIENCE OF HNUE Mathematical and Physical Sci. 2012 Vol. 57 No. 7 pp. 94-99 This paper is available online at http SQUARKS DECAY INTO QUARKS AND GLUINO IN THE MSSM Nguyen Chinh Cuong1 and Phung Van Hao2 1 Faculty of Physics Hanoi National University of Education 2 Son Tay High School Hanoi Abstract. We present a phenomenological study of the decay of squarks top and bottom into quarks top and bottom and gluino in the Minimal Supersymmetric Standard Model MSSM . The formulae for the decay width and numerical results are obtained. We have calculated the conclusion of the one-loop vertex correction wave-function correction and renormalization of the bare couplings to the decay width. We revealed that the effect of the complex parameters At and Ab could be quite significant in a large region of the MSSM parameter space. Keywords MSSM squark CP violation. 1. Introduction The minimal supersymmetric standard model MSSM is one of the most promising extensions of the standard model SM 1 . Only three terms in the supersymmetric Lagrangian can give rise to CP violating phases. The superpotential contains a complex coefficient µ in the bilinear term of the Higgs superfield. There are two complex terms in the soft supersymmetry SUSY breaking part the gaugino mass M f and the left and right handed squark mixing term Aq 2 . f M µ µ eiφµ µ eiφ1 Aq Aq eiφqe Aq eiφ2 M f eiφM f f eiφ3 . M In the MSSM there are two types of scalar quarks squarks qeL and qeR corresponding to the left and the right helicity states of a quark. The mass matrix on qL qeR is given by 3 the basis e 2 2 2 mqeL aq mq qe mqe1 0 Mqe R Rqe. aq mq m2qeR 0 mq2e2 Received April 16 2012. Accepted October 20 2012. Physics Subject Classification 60 44 01. Contact Phung Van Hao e-mail address 94 Squarks decay into quarks and gluino in the MSSM According to Eq. Mq2e is diagonalized by a unitary matrix Rqe. The weak eigenstates qe1 and qe2 are thus .