We focus on an SU(N ) Yang-Mills gauge theory in 0 + 1-dimensions with the same matrix content as the bosonic part of the BFSS matrix model, but with mass deformation terms breaking the global SO(9) symmetry of the latter to SO(5) × SO(3) × ℤ2. Introducing an ansatz configuration involving fuzzy four and two spheres with collective time dependence, we examine the chaotic dynamics in a family of effective Lagrangians obtained by tracing over the aforementioned ansatz configurations at the matrix levels $$ N=\frac{1}{6} $$ N = 1 6 (n + 1)(n + 2)(n + 3), for n = 1, 2, · · · , 7. Through numerical work, we determine the Lyapunov spectrum and analyze how the largest Lyapunov exponents(LLE) change as a function of the energy, and discuss how our results can be used to model the temperature dependence of the LLEs and put upper bounds on the temperature above which LLE values comply with the Maldacena-Shenker-Stanford (MSS) bound 2πT , and below which it will eventually be violated.

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The potential of triphoton production to obtain limits on anomalous Higgs boson couplings at Hγγ and HZγ vertices is studied in the Standard Model Effective Field Theory (EFT) framework for the post-LHC circular high-energy hadron colliders: High Luminosity-LHC (HL-LHC), High-Energy LHC (HE-LHC), and Low-Energy FCC (LE-FCC) which are designed with standard configurations of 14 TeV/3 ab −1 , 27 TeV/15 ab −1 , and 37.5 TeV/15 ab −1 . Madgraph in which the effective Lagrangian of the SM EFT is implemented using FeynRules and UFO framework is used to generate both background and signal events. These events are then passed through PYTHIA 8 for parton showering and Delphes to include realistic detector effects. After optimizing cuts on kinematics of three photons as well as the reconstructed invariant mass of the two leading photons, invariant mass of three leading photons is used to obtain constraints on the Wilson coefficients of dimension-six operators. We report on the result of a twodimensional scan of cγ and cγ couplings at 95% confidence level and compare with the LHC results. Our obtained limits without systematic error on cγ ( cγ ) are [−3.15; 1.41] × 10 −2 ([−2.12; 2.12] × 10 −2 ), [−1.21; 0.78] × 10 −2 ([−0.98; 0.98] × 10 −2 ), and [−0.89; 0.66] × 10 −2 ([−0.77; 0.77] × 10 −2 ) for HL-LHC, HE-LHC, and LE-FCC, respectively.