Flavor constraints on scenarios with two or three heavy squark generations
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We re-assess constraints from flavor-changing neutral currents in the kaon system on supersymmetric scenarios with a light gluino, two heavy generations of squarks and a lighter third generation. We compute for the first time limits in scenarios with three heavy squark families, taking into account QCD corrections at the next-to-leading order. We compare our limits with those in the case of two heavy families. We use the mass insertion approximation and consider contributions from gluino exchange to constrain the mixing between the first and second squark generation. While it is not possible to perform a general analysis, we assess the relevance of each kind of flavor- and CP-violating parameters. We also provide ready to use magic numbers for the computation of the Wilson coefficients at 2 GeV for these scenarios.
KeywordsMagic Number Gluino Mass Squark Masse Squark Generation Mass Insertion
We would like to thank Joachim Brod, Christian Hoelbling, Luca Silvestrini, and Javier Virto for very helpful discussions. This work was supported by the German Research Foundation (DFG) via the Junior Research Group “SUSY Phenomenology” within the Collaborative Research Center 676 “Particles, Strings and the Early Universe” and by the INFN. We acknowledge the Aspen Center for Theoretical Physics for a very stimulating environment which prompted the beginning of this work. L. V.-S. thanks the University of Hamburg for its hospitality. Finally, we thank the Galileo Galilei Institute for Theoretical Physics for its hospitality during later stages of the work.
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