KL → π0ν¯ν decay correlating with K in high-scale SUSY

munawar iqbal, david t. llewellyn;

We have studied the contribution of high-scale SUSY to the KL → π0ν¯ν and K+ → π + ν¯ν processes by correlating with the CP-violating parameter K . Taking account of the recent LHC results for Higgs discovery and SUSY searches, we consider high-scale SUSY at the 10–50 TeV scale in the framework of non-minimal squark (slepton) flavor mixing. The Z penguin mediated chargino dominates the SUSY contribution for these decays. At the 10 TeV SUSY scale, the chargino contribution can enhance the branching ratio of KL → π0ν¯ν by eight times compared with SM predictions, whereas the predicted branching ratio BR  K+ → π + ν¯ν  increases by up to three times that of the SM. The gluino box diagram dominates the SUSY contribution of K
up to 30%. If down-squark mixing is neglected compared with up-squark mixing, the Z penguin mediated chargino dominates both SUSY contributions of BR  KL → π0ν¯ν  and K . Then, a
correlation between them is found, but the chargino contribution to K is at most 3%. Even if the SUSY scale is 50 TeV, the chargino process still enhances the branching ratio of KL → π0ν¯ν from theSMprediction by a factor of two, and K is deviated from theSMprediction byO(10%). We also discuss the chargino contribution to the KL → π0e+e− process.