Summary
We work out an iterative solution of the evolution equations forα 1,α 2,α 3 in the Minimal SupersymmetricSU(5) Grand Unified model with the condition that the gauge couplings should converge smoothly towardsE GUT and should not separate aboveE GUT. The work is done at two levels of theoretical accuracy: one loop and two loops. Improved accuracy favours high values ofα 3(M Z) with respect to the world average.
Similar content being viewed by others
References
J. Ellis, S. Kelley andD. V. Nanopoulos:Phys. Lett. B,249, 441 (1990).
P. Langacker andM. Luo: preprint UPR 0466-T.
U. Amaldi, W. de Boer andH. Fürstenau:Phys. Lett. B,260, 447 (1991).
U. Amaldi, W. de Boer andH. Fürstenau: preprint CERN-PPE/91-190, November 1991.
D. A. Ross:Nucl. Phys. B,140, 1 (1978).
F. Anselmo, L. Cifarelli, A. Peterman andA. Zichichi, preprint CERN-PPE/91-123, 15 July 1991 andNuovo Cimento A,104, 1817 (1991). Note that for notations, formulae and other details not discussed in the present paper, we refer the reader to this work.
H. Georgi andS. L. Glashow:Phys. Rev. Lett.,32, 438 (1974).
M. B. Einhorn andD. R. T. Jones:Nucl. Phys. B,196, 475 (1982).
M. E. Machacek andM. T. Vaughn:Nucl. Phys. B,236, 131 (1984).
For lectures and references on Supersymmetry, Supersymmetric theories and, in particular SUSY-SU(5) see;Superworld I, edited byA. Zichichi (Plenum Press, New York-London, 1986);Superworld II, edited byA. Zichichi (Plenum Press, New York-London, 1987);Superworld III, edited byA. Zichichi (Plenum Press, New York-London, 1988).
F. Anselmo, L. Cifarelli, A. Peterman andA. Zichichi:The Evolution of Gaugino Masses, work in progress.
E. A. Paschos: preprint DO-TH 80/19.
A. Peterman: αS(Q 2)Extrapolation with Analytic Thresholds, to appear as CERN-TH preprint in 1992.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Anselmo, F., Cifarelli, L., Peterman, A. et al. The convergence of the gauge couplings atE GUT and above: Consequences forα 3(M Z) and SUSY breaking. Nuov Cim A 105, 1025–1044 (1992). https://doi.org/10.1007/BF02730842
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02730842