Natural SUSY and Kaon Mixing in view of recent results from Lattice QCD

TL;DR

This paper uses recent lattice QCD results to analyze Kaon mixing within Natural SUSY, deriving bounds on superpartner masses and highlighting tensions with naturalness assumptions.

Contribution

It provides the first comprehensive analysis of epsilonK in Natural SUSY incorporating recent lattice QCD data and next-to-leading order matching, setting new bounds on SUSY particle masses.

Findings

Sbottom must be heavier than 3 TeV for gluino up to 10 TeV.

Natural flavor-violating SUSY couplings are incompatible with current bounds.

Lattice QCD significantly reduces uncertainties in Kaon mixing analysis.

Abstract

Lattice results are available for Delta S=2 matrix elements for the first time in full QCD, which improve considerably the status of hadronic uncertainties in K-Kbar mixing with respect to earlier phenomenological studies. Using an average of the ETMC and RBC results, we analyze epsilonK in Natural SUSY. This scenario arises as a consistent BSM framework after the latest results from the LHC. The analysis is improved with respect to previous studies including next-to-leading order matching conditions of order (alpha_s)^3. We derive new bounds for SUSY mass insertions in the scenario with a light third generation and study the implications for squark and gluino masses, compared with direct searches at the LHC. Assuming natural values for the flavor violating SUSY couplings of both chiralities, we find that the sbottom must be heavier than 3 TeV for a gluino mass up to 10 TeV. In this scenario no natural values for squark and gluino masses can satisfy the flavor bounds.