https://doi.org/10.1140/epjc/s10052-021-08966-4
Regular Article – Theoretical Physics
Probing unified theories with reduced couplings at future hadron colliders
1
Instituto de Física Teórica (UAM/CSIC), Universidad Autónoma de Madrid Cantoblanco, 28049, Madrid, Spain
2
Campus of International Excellence UAM + CSIC, Cantoblanco, 28049, Madrid, Spain
3
Instituto de Física de Cantabria (CSIC-UC), 39005, Santander, Spain
4
Faculty of Physics, University of Warsaw, ul. Pasteura 5, 02-093, Warsaw, Poland
5
Technische Universität Dresden, Institut für Kern- und Teilchenphysik (IKTP), 01069, Dresden, Germany
6
Instituto de Física, Universidad Nacional Autónoma de México, A.P. 20-364, 01000, Mexico, CDMX, Mexico
7
Physics Department, Nat. Technical University, 157 80, Zografou, Athens, Greece
8
Max-Planck Institut für Physik, Föhringer Ring 6, 80805, München, Germany
9
Theoretical Physics Department, CERN, Geneva, Switzerland
Received:
23
November
2020
Accepted:
7
February
2021
Published online:
23
February
2021
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 
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 
model, (ii) an all-loop finite model, (iii) a two-loop finite 
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.
© The Author(s) 2021
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