Abstract
We study the two-body decays of the gluino at full one-loop level in the Minimal Supersymmetric Standard Model with quark-flavour violation (QFV) in the squark sector. The renormalisation is done in the overline{mathrm{DR}} scheme. The gluon and photon radiations are included by adding the corresponding three-body decay widths. We discuss the dependence of the gluino decay widths on the QFV parameters. The main dependence stems from the tilde{c}_R – tilde{t}_R mixing in the decays to up-type squarks, and from the tilde{s}_R – tilde{b}_R mixing in the decays to down-type squarks due to the strong constraints from B-physics on the other quark-flavour-mixing parameters. The full one-loop corrections to the gluino decay widths are mostly negative and of the order of about −10%. The QFV part stays small in the total width but can vary up to −8% for the decay width into the lightest tilde{u} squark. For the corresponding branching ratio the effect is somehow washed out by at least a factor of two. The electroweak corrections can be as large as 35% of the SUSY QCD corrections.
Highlights
After the discovery of the Higgs particle in 2012 [1,2], a task with high priority of the LHC is the search for new physics, beyond the framework of the Standard Model (SM)
In this paper we study cR–tL, cL –tR, cR–tR, and cL –tL mixing, which is described by the quark-flavour violation (QFV) parameters δ2u3RL, δ2u3L R ≡ (δ3u2RL )∗, δ2u3R R, and δ2L3L, respectively, as well as sR– bL, sL –bR, sR–bR, and sL –bL mixing, which is described by the QFV parameters δ2d3RL, δ2d3L R ≡ (δ3d2RL )∗, δ2d3R R, and δ2L3L, respectively
We have studied all two-body decays of the gluino at full oneloop level in the Minimal Supersymmetric Standard Model with quark-flavour violation in the squark sector
Summary
After the discovery of the Higgs particle in 2012 [1,2], a task with high priority of the LHC is the search for new physics, beyond the framework of the Standard Model (SM). The decays of the gluino in the Minimal Supersymmetric Standard Model (MSSM) were previously studied with general quark-flavour violation (QFV) in the squark sector at tree level [3,4,5] or including one-loop corrections with no QFV in the squark sector [6,7]. In this paper we study the twobody decays of the gluino into a scalar quark and a quark at full one-loop level with general quark-flavour mixing in the squark sector of the MSSM. Such a study has been performed in detail in [8]. In Appendix B all constraints we obey are summarised and Appendix C gives the detailed formulae for the hard radiation of a gluon or a photon
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