Suchergebnisse

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. ; Funded by SCOAP3. ; GZ thanks the ITP of Heidelberg, MPI Munich, CERN Department of Theoretical Physics, IFT Madrid and MPI-AEI for their hospitality. The work of SH is supported in part by the MEINCOP Spain under Contract FPA2016-78022-P and and under Contract PID2019-110058GB-C21, in part by the Spanish Agencia Estatal de Investigación (AEI), the EU Fondo Europeo de Desarrollo Regional (FEDER) through the project FPA2016-78645-P, in part by the "Spanish Red Consolider MultiDark" FPA2017-90566-REDC, and in part by the AEI through the Grant IFT Centro de Excelencia Severo Ochoa SEV-2016-0597. The work of MM is partly supported by UNAM PAPIIT through Grant IN111518. The work of GP, NT and GZ is partially supported by the COST action CA16201, GZ is also partially supported by the Grant DEC-2018/31/B/ST2/02283 of NSC, Poland. GZ has been supported within the Excellence Initiative funded by the German and State Governments, at the Institute for Theoretical Physics, Heidelberg University and from the Excellence Grant Enigmass of LAPTh. The work of JK and WK has been supported b the National Science Centre, Poland, the HARMONIA project under contract UMO-2015/18/M/ST2/00518 (2016-2020). ; Peer reviewed