Finite and Gauge-Yukawa unified theories: Theory and predictions

Details Finite and Gauge-Yukawa unified theories: Theory and predictions Finite and Gauge-Yukawa unified theories: Theory and predictions

Oct 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999aipc..490..279k&link_type=abstract

The eighth mexican school on particles and fields. AIP Conference Proceedings, Volume 490, pp. 279-309 (1999).

Computer Science

2

Unified Field Theories And Models, Lagrangian And Hamiltonian Approach

Scientific paper

All-loop Finite Unified Theories (FUTs) are very interesting N=1 GUTs in which a complete reduction of couplings has been achieved. FUTs realize an old field theoretical dream and have remarkable predictive power. Reduction of dimensionless couplings in N=1 GUTs is achieved by searching for renormalization group invariant (RGI) relations among them holding beyond the unification scale. Finiteness results from the fact that there exists RGI relations among dimensionless couplings that guarantee the vanishing of the β- functions in certain N=1 supersymmetric GUTS even to all orders. Recent developments in the soft supersymmetry breaking (SSB) sector of N=1 GUTs and FUTs lead to exact RGI relations also in this sector of the theories. Of particular interest is a RGI sum rule for the soft scalar masses holding to all orders. The characteristic features of SU(5) models that have been constructed based on the above tools are: a) the old agreement of the top quark prediction with the measured value remains unchanged, b) the lightest Higgs boson is predicted to be around 120 GeV, c) the s-spectrum starts above several hundreds of GeV.

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