$K_L \to π^0 ν{\bar ν}$ decay correlating with $ε_K$ in high-scale SUSY

Morimitsu Tanimoto; Kei Yamamoto

doi:10.1093/ptep/ptv066

paper

$K_{L} \to π^{0} ν ν ˉ$ decay correlating with $ε_{K}$ in high-scale SUSY

arXiv:1503.06270 · doi:10.1093/ptep/ptv066

Abstract

We have studied the contribution of the high-scale SUSY to the K_L to pi^0 nu{bar nu} and K^+ to pi^+ nu{bar nu} processes correlating with the CP violating parameter epsilon_K. Taking account of the recent LHC results for the Higgs discovery and the SUSY searches, we consider the high-scale SUSY at the 10-50 TeV scale in the framework of the non-minimal squark (slepton) flavor mixing. The Z penguin mediated the chargino dominates the SUSY contribution for these decays. At the 10 TeV scale of the SUSY, the chargino contribution can enhance the branching ratio of K_L to pi^0 nu{bar nu} in eight times compared with the SM predictions whereas the predicted branching ratio BR(K^+ to pi^+ nu {bar nu}) increases up to three times of the SM one. The gluino box diagram dominates the SUSY contribution of epsilon_K up to 30%. If the down-squark mixing is neglected compared with the up-squark mixing, the Z penguin mediated the chargino dominates both SUSY contributions of K_L to pi^0 nu {bar nu} and epsilon_K. Then, it is found a correlation between them, but the chargino contribution to epsilon_K is at most 3%. Even if the SUSY scale is 50TeV, the chargino process still enhances the branching ratio of K_L to pi^0 nu {bar nu} from the SM prediction in the factor two, and epsilon_K is deviated from the SM prediction in O(10%) through the gluino box diagram unless the down-squark mixing is suppressed. We also discuss the chargino contribution to K_L to pi^0 e^+e^- process.

22 pages, 11 figures, some comments added, minor corrections; matches the published version

KL​→π0ννˉ decay correlating with εK​ in high-scale SUSY

Abstract

References in corpus (10)

$K_{L} \to π^{0} ν ν ˉ$ decay correlating with $ε_{K}$ in high-scale SUSY