Clay weekly context brief for the High Energy Physics category (ISO week 2026-W36). Clay tracks publications from the High Energy Physics feed list. Below are recent items from this category, each with its source and a short description of what the publication covers when one is available in the source feed. Recent publications: 1. Cluster Representation of Renormalization Group Transformations and a Rigorous Proof for Convergence of the RG-Flow of the Ising Model to Trivial Fixed Points Source: hep-lat (High Energy Physics - Lattice) Link: https://arxiv.org/abs/2608.18862 Many rigorous results in the modern era of statistical mechanics have been obtained through geometrical representations. 2. Testing $f(Q)$ Gravity with DESI DR2 and Strong-Lensing Time Delays Source: gr-qc (General Relativity and Quantum Cosmology) Link: https://arxiv.org/abs/2608.24676 Symmetric teleparallel gravity provides an alternative description of gravitation in which non-metricity replaces curvature and torsion. 3. Tensor states $\Upsilon B_{c}^{\ast -}$ and $J/\psi B_{c}^{\ast +}$ Source: hep-lat (High Energy Physics - Lattice) Link: https://arxiv.org/abs/2602.10075 Tensor states $\mathcal{M}_{\mathrm{T}}^{\mathrm{b}}=\Upsilon B_{c}^{\ast -}$ and $\mathcal{M}_{\mathrm{T}}^{\mathrm{c}}=J/\psi B_{c}^{\ast +}$ are explored using techniques of QCD sum rule method. 4. Gravitational Waves from Green's Function Decomposition for a Kerr black hole: I. Equatorial ISCO Plunge Source: gr-qc (General Relativity and Quantum Cosmology) Link: https://arxiv.org/abs/2608.17943 We present a decomposition of the Kerr Green's function in the time domain, motivated by the frequency-domain split previously studied in the Schwarzschild limit. 5. Tightening energy-based boson truncation bound using Monte Carlo-assisted methods Source: hep-lat (High Energy Physics - Lattice) Link: https://arxiv.org/abs/2604.24896 Quantum simulation offers a promising framework for quantum field theory calculations. 6. Ostrogradsky's Theorem is Incompatible with Background Independence in Quantum Gravity Source: gr-qc (General Relativity and Quantum Cosmology) Link: https://arxiv.org/abs/2608.17364 Ostrogradsky's theorem shows that higher-derivative dynamical systems inevitably yields a Hamiltonian featuring a ghost mode that is unbounded from below. 7. Revisiting the $U(1)$-$CP$ tension in QCD from a 1PI-action perspective Source: hep-lat (High Energy Physics - Lattice) Link: https://arxiv.org/abs/2608.28253 We discuss the tension one encounters in trying to solve, simultaneously, the $U(1)$ and strong-$CP$ problems in QCD with light quarks and a small $\bar{\theta}$ angle within QCD itself. 8. Determination of the metric of a Schwarzschild black hole surrounded by a halo of dark matter Source: gr-qc (General Relativity and Quantum Cosmology) Link: https://arxiv.org/abs/2606.27482 Following the landmark acquisition of the first image of a black hole, systems comprising a black hole enveloped by a dark matter halo have attracted considerable attention. 9. Magnetic Moments and Radiative Transitions of the $T_{cc}(3875)^+$ and its partner states Source: hep-lat (High Energy Physics - Lattice) Link: https://arxiv.org/abs/2608.27961 We systematically investigate the magnetic moments (MMs) and radiative decay widths of S-wave doubly heavy tetraquark states based on chromomagnetic interaction (CMI). 10. Remarks on electrical Penrose process for magnetized Reissner-Nordstr\"om black hole Source: gr-qc (General Relativity and Quantum Cosmology) Link: https://arxiv.org/abs/2605.20492 The energy extraction from a magnetized Reissner-Nordstr\"om black hole is analyzed within the framework of the electric Penrose mechanism. 11. Chern insulator boundary criticality Source: hep-lat (High Energy Physics - Lattice) Link: https://arxiv.org/abs/2608.18199 We investigate signatures of chirality at Chern insulator transitions in the presence of a boundary. 12. Ringdown analysis of GW250114 with orthonormal modes Source: gr-qc (General Relativity and Quantum Cosmology) Link: https://arxiv.org/abs/2605.03576 GW250114 is the loudest gravitational wave event to date observed by LIGO-Virgo-KAGRA Collaboration. 13. Renormalization-guided cascade upscaling for lattice field generation Source: hep-lat (High Energy Physics - Lattice) Link: https://arxiv.org/abs/2608.28581 We introduce a renormalization-group (RG) guided machine-learning algorithm for lattice field generation based on approximate inversion of an RG transformation. 14. Noether charges and the first law of thermodynamics for multifractional Schwarzschild black hole in the q-derivative theory Source: gr-qc (General Relativity and Quantum Cosmology) Link: https://arxiv.org/abs/2605.03311 In this paper, we investigate black-hole thermodynamics in the multi-fractional theory with $q$-derivatives, focusing on static, spherically symmetric vacuum solutions in the spherical-coordinate approximation. 15. Renormalization-guided inverse blocking for lattice field generation: construction and validation Source: hep-lat (High Energy Physics - Lattice) Link: https://arxiv.org/abs/2608.28580 We propose an algorithm for generating lattice field configurations based on the approximate inversion of a renormalization-group blocking transformation. 16. Phase transition for a black hole with matter fields and the relation with the Lyapunov exponent Source: gr-qc (General Relativity and Quantum Cosmology) Link: https://arxiv.org/abs/2604.00753 We construct static black hole solutions coexisting with anisotropic matter in asymptotically (anti-)de Sitter spacetime and investigate how the matter field modifies their thermodynamic and dynamical properties. 17. Optimized numerical evolution of perturbations across sharp background trajectory turns in multifield inflation Source: gr-qc (General Relativity and Quantum Cosmology) Link: https://arxiv.org/abs/2603.27080 Features in the primordial power spectrum require numerical methods that are both accurate and scalable across the wide class of multifield inflationary models that produce them. Sources in this brief: gr-qc (General Relativity and Quantum Cosmology); hep-lat (High Energy Physics - Lattice). Selected 17 of 28 available items for this weekly brief.