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

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.

v3: Results updated with the latest (September 2012) lattice QCD results. Version published in Physical Review D

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• Neutral Kaon Mixing Beyond the Standard Model with $n_f=2+1$ Chiral Fermions Part 1: Bare Matrix Elements and Physical Results
• The CKM parameters in the SMEFT
• D-Dbar Mixing in the Standard Model and Beyond from Nf=2 Twisted Mass QCD
• Natural MSSM after the LHC 8 TeV run
• Natural Baryogenesis from Unnatural Supersymmetry
• Neutral kaon mixing from new physics: matrix elements in $N_f=2+1$ QCD
• Baryogenesis with Higher Dimension Operators
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• Lepton Number Violation: Seesaw Models and Their Collider Tests
• Phenomenological aspects of supersymmetric composite Higgs models
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• A new look at the theory uncertainty of epsilon_K
• Light third-generation squarks from flavour gauge messengers
• Next-to-Leading-Order QCD Matching for $\Delta F=2$ Processes in Scalar Leptoquark Models
• Light Axigluon Contributions to b-bbar and c-cbar Asymmetry and Constraints on Flavor Changing Axigluon Currents
• Probing the high scale SUSY in CP violations of K, B0 and Bs mesons
• The Flavour of Natural SUSY
• RGE Behaviour of SUSY with a U(2)^3 symmetry
• Searching for the squark flavor mixing in CP violations of Bs -> K+ K- and K0bar K0 decays
• Sensitivity of the squark flavor mixing to the CP violation of K, B0 and Bs mesons
• Toolkit for staggered $\Delta S=2$ matrix elements
• Sensitivity of High-Scale SUSY in Low Energy Hadronic FCNC
• The Minimal Supersymmetric Standard Model with Non-Invertible Selection Rules