https://doi.org/10.1140/epjc/s10052-022-10353-6
Regular Article - Theoretical Physics
Particle physics and cosmology of the string derived no-scale flipped SU(5)
1
Laboratoire de Physique Théorique et Hautes Energies-LPTHE, Sorbonne Université, CNRS, 4 Place Jussieu, 75005, Paris, France
2
Department of Mathematical Sciences, University of Liverpool, L69 7ZL, Liverpool, UK
3
George P. and Cynthia W. Mitchell Institute for Fundamental Physics and Astronomy, Texas A &M University, 77843, College Station, TX, USA
4
Astroparticle Physics Group, Houston Advanced Research Center (HARC), Mitchell Campus, 77381, Woodlands, TX, USA
5
Division of Natural Sciences, Academy of Athens, 10679, Athens, Greece
6
Physics Department, University of Ioannina, 45110, Ioannina, Greece
7
School of Science and Technology, Hellenic Open University, Tsamadou 13-15, 26222, Patras, Greece
Received:
9
February
2022
Accepted:
19
April
2022
Published online:
29
April
2022
In a recent paper, we identified a cosmological sector of a flipped SU(5) model derived in the free fermionic formulation of the heterotic superstring, containing the inflaton and the goldstino superfields with a superpotential leading to Starobinsky type inflation, while is still unbroken. Here, we study the properties and phenomenology of the vacuum after the end of inflation, where the gauge group is broken to the Standard Model. We identify a set of vacuum expectation values, triggered by the breaking of an anomalous
gauge symmetry at roughly an order of magnitude below the string scale, that solve the F and D-flatness supersymmetric conditions up to 6th order in the superpotential which is explicitly computed, leading to a successful particle phenomenology. In particular, all extra colour triplets become superheavy guaranteeing observable proton stability, while the Higgs doublet mass matrix has a massless pair eigenstate with realistic hierarchical Yukawa couplings to quarks and leptons. The supersymmetry breaking scale is constrained to be high, consistent with the non observation of supersymmetry signals at the LHC.
© The Author(s) 2022
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