Probing Unified Theories with Reduced Couplings at Future Hadron Colliders

Abstract

The search for renormalization group invariant relations among parameters to all orders in perturbation theory constitutes the basis of the reduction of couplings concept. Reduction of couplings can be achieved in certain $N=1$ supersymmetric Grand Unified Theories and few of them can become even finite at all loops. We review the basic idea, the tools that have been developed as well as the resulting theories in which successful reduction of couplings has been achieved so far. These include: (i) a reduced version of the minimal $N=1$ $SU(5)$ model, (ii) an all-loop finite $N=1$ $SU(5)$ model, (iii) a two-loop finite $N=1$ $SU(3{)}^3$ model and finally (vi) a reduced version of the Minimal Supersymmetric Standard Model. In this paper we present a number of benchmark scenarios for each model and investigate their observability at existing and future hadron colliders. The heavy supersymmetric spectra featured by each of the above models are found to be beyond the reach of the 14 TeV HL-LHC. It is also found that the reduced version of the MSSM is already ruled out by the LHC searches for heavy neutral MSSM Higgs bosons. In turn the discovery potential of the 100 TeV FCC-hh is investigated and found that large parts of the predicted spectrum of these models can be tested, but the higher mass regions are beyond the reach even of the FCC-hh.

30 pages, 9 figures; references added, typos corrected, CDM arguments added in sections 3,5,6,7 and 8

References in corpus (11)

• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
• LHAPDF6: parton density access in the LHC precision era
• Estimate of BR(B -> X_s gamma) at O(alpha_s^2)
• SARAH 3.2: Dirac Gauginos, UFO output, and more
• Neutralino with the Right Cold Dark Matter Abundance in (Almost) Any Supersymmetric Model
• Hints of large tan(beta) in flavour physics
• Flavour physics at large tan(beta) with a Bino-like LSP
• The Light and Heavy Higgs Interpretation of the MSSM
• Confronting Finite Unified Theories with Low-Energy Phenomenology
• Reduction of Couplings and its application in Particle Physics