Unified Maximally Natural Supersymmetry

Abstract

Maximally Natural Supersymmetry, an unusual weak-scale supersymmetric extension of the Standard Model based upon the inherently higher-dimensional mechanism of Scherk-Schwarz supersymmetry breaking (SSSB), possesses remarkably good fine tuning given present LHC limits. Here we construct a version with precision $SU(2{)}_{\mathrm{L}}\times U(1{)}_{\mathrm{Y}}$ unification: ${\sin }^2{\theta }_W(M_Z)\simeq 0.231$ is predicted to $\pm 2\%$ by unifying $SU(2{)}_{\mathrm{L}}\times U(1{)}_{\mathrm{Y}}$ into a 5D $SU(3{)}_{\mathrm{EW}}$ theory at a Kaluza-Klein scale of $1/R_5\sim 4.4\mathrm{TeV}$, where SSSB is simultaneously realised. Full unification with $SU(3{)}_{\mathrm{C}}$ is accommodated by extending the 5D theory to a $N=4$ supersymmetric $SU(6)$ gauge theory on a 6D rectangular orbifold at $1/R_6\sim 40\mathrm{TeV}$. TeV-scale states beyond the SM include exotic charged fermions implied by $SU(3{)}_{\mathrm{EW}}$ with masses lighter than $\sim 1.2\mathrm{TeV}$, and squarks in the mass range $1.4\mathrm{TeV}-2.3\mathrm{TeV}$, providing distinct signatures and discovery opportunities for LHC run II.

33 pages, 7 figures

References in corpus (15)

• Combined Measurement of the Higgs Boson Mass in $pp$ Collisions at $\sqrt{s}=7$ and 8 TeV with the ATLAS and CMS Experiments
• Search for new phenomena in the dijet mass distribution using $p-p$ collision data at $\sqrt{s}=8$ TeV with the ATLAS detector
• Search for resonances and quantum black holes using dijet mass spectra in proton-proton collisions at sqrt(s) = 8 TeV
• Search for physics beyond the standard model in dilepton mass spectra in proton-proton collisions at sqrt(s) = 8 TeV
• Supersymmetry production cross sections in pp collisions at sqrt{s} = 7 TeV
• Search for anomalous production of events with three or more leptons in pp collisions at sqrt(s) = 8 TeV
• Search for disappearing tracks in proton-proton collisions at sqrt(s) = 8 TeV
• Searches for heavy long-lived charged particles with the ATLAS detector in proton-proton collisions at $\sqrt{s}$ = 8 TeV
• Search for Displaced Supersymmetry in events with an electron and a muon with large impact parameters
• Search for supersymmetry in events with four or more leptons in $\sqrt{s}$ = 8 TeV pp collisions with the ATLAS detector
• Maximally Natural Supersymmetry
• Radiative Corrections with 5D Mixed Position-/Momentum-space Propagators
• The MSSM from Scherk-Schwarz Supersymmetry Breaking
• Auto-Concealment of Supersymmetry in Extra Dimensions
• Rare Flavor Processes in Maximally Natural Supersymmetry

Cited by in corpus (1)

• Revisiting fine-tuning in the MSSM