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Reduction of Couplings in Quantum Field Theories with Applications in Finite Theories and the MSSM

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Lie Theory and Its Applications in Physics

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 111))

Abstract

We apply the method of reduction of couplings in a Finite Unified Theory and in the MSSM. The method consists on searching for renormalization group invariant relations among couplings of a renormalizable theory holding to all orders in perturbation theory. It has a remarkable predictive power, since it leads to relations between gauge and Yukawa couplings in the dimensionless sectors and relations involving the trilinear terms and the Yukawa couplings, as well as a sum rule among scalar masses in the soft breaking sector, at the GUT scale. In both the MSSM and the FUT model we predict the masses of the top and bottom quarks and the light Higgs in remarkable agreement with the experiment. Furthermore we also predict the masses of the other Higgses, as well as the supersymmetric spectrum, the latter being in very comfortable agreement with the LHC bounds on supersymmetric particles.

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Notes

  1. 1.

    The second term can be determined once the first term is known.

  2. 2.

    We have not yet taken into account the improved M h prediction presented in [88] (and implemented into the most recent version of FeynHiggs), which will lead to an upward shift in the Higgs boson mass prediction.

  3. 3.

    In this analysis the new M h evaluation [88] may have a relevant impact on the restrictions on the allowed SUSY parameter space shown below.

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Acknowledgements

G.Z. thanks the Institut für Theoretische Physik, Heidelberg, for its generous support and warm hospitality. The work of G.Z. was supported by the Research Funding Program ARISTEIA, Higher Order Calculations and Tools for High Energy Colliders, HOCTools (co-financed by the European Union (European Social Fund ESF) and Greek national funds through the Operational Program Education and Lifelong Learning of the National Strategic Reference Framework (NSRF)). G.Z and N.T. acknowledge also support from the European Union’s ITN programme HIGGSTOOLS. The work of M.M. was supported by Mexican grants PAPIIT IN113712 and Conacyt 132059. The work of S.H. was supported in part by CICYT (grant FPA 2010–22163-C02-01) and by the Spanish MICINN’s Consolider-Ingenio 2010 Program under grant MultiDark CSD2009-00064.

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Authors and Affiliations

  1. Instituto de Física de Cantabria (CSIC-UC), 39005, Santander, Spain

    S. Heinemeyer

  2. Instituto de Física, Universidad Nacional Autónoma de México, A.P. 20-364, México, 01000, Mexico

    M. Mondragón

  3. Physics Department, National Technical University, 157 80 Zografou, Athens, Greece

    N. Tracas & G. Zoupanos

  4. Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, 69120, Heidelberg, Germany

    G. Zoupanos

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  1. S. Heinemeyer
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  2. M. Mondragón
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  4. G. Zoupanos
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Correspondence to G. Zoupanos .

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  1. Bulgarian Academy of Sciences, Institute for Nuclear Research and Nuclear Energy, Sofia, Bulgaria

    Vladimir Dobrev

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Heinemeyer, S., Mondragón, M., Tracas, N., Zoupanos, G. (2014). Reduction of Couplings in Quantum Field Theories with Applications in Finite Theories and the MSSM. In: Dobrev, V. (eds) Lie Theory and Its Applications in Physics. Springer Proceedings in Mathematics & Statistics, vol 111. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55285-7_11

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