Abstract
We analyse the low energy predictions of the minimal supersymmetric standard model (MSSM) arising from a GUT scale Pati-Salam gauge group further constrained by an $A_4 \times Z_5$ family symmetry, resulting in four soft scalar masses at the GUT scale: one left-handed soft mass $m_0$ and three right-handed soft masses $m_1,m_2,m_3$, one for each generation. We demonstrate that this model, which was initially developed to describe the neutrino sector, can explain collider and non-collider measurements such as the dark matter relic density, the Higgs boson mass and, in particular, the anomalous magnetic moment of the muon $(g-2)_\mu$. Since about two decades, $(g-2)_\mu$ suffers a puzzling about 3$\,\sigma$ excess of the experimentally measured value over the theoretical prediction, which our model is able to fully resolve. As the consequence of this resolution, our model predicts specific regions of the parameter space with the specific properties including light smuons and neutralinos, which could also potentially explain di-lepton excesses observed by CMS and ATLAS.
Highlights
Where, at classical level, the gyromagnetic ratio is gμ = 2
We analyse the low energy predictions of the minimal supersymmetric standard model (MSSM) arising from a Grand Unified Theory (GUT) scale Pati-Salam gauge group further constrained by an A4 × Z5 family symmetry, resulting in four soft scalar masses at the GUT scale: one left-handed soft mass m0 and three right-handed soft masses m1, m2, m3, one for each generation
The anomalous magnetic moment of the muon continues to show a disagreement with the SM which suggests new physics at a relatively low mass scale
Summary
An “A to Z of flavour with Pati-Salam” based on the Pati-Salam gauge group has been proposed [72] as sketched in figure 1. In the SUSY theory at the GUT scale, from (2.2) there are four different matter multiplets: F, F1c, F2c, F3c, corresponding to the left-handed block and the three distinct right-handed blocks in figure 1 respectively. Ratio is predicted to be 2 for every massive particle with semi-integer spin Deviations from this classical value emerge at the loop-level, where besides SM corrections, new physics contributions may be relevant. A large μ combined with light smuons enhances ∆aμ via diagram (A) in figure 2, while keeping the remaining contributions suppressed This solution is not unique and in the limit of small μ the size of the functions fN(A,B,C,D) and fC(E) themselves may distinguish the dominant contributions among diagrams (B) to (E).
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