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Feynman-like parameterizations of (anti-)de Sitter Witten diagrams for all masses at any loop order
Aidan Herderschee
https://arxiv.org/abs/2509.02699 https://

Feynman-like parameterizations of (anti-)de Sitter Witten diagrams for all masses at any loop order
Computing correlation functions in curved spacetime is central to both theoretical and experimental efforts, from precision cosmology to quantum simulations of strongly coupled systems. In anti-de Sitter (AdS) and de Sitter (dS) space, the key observables, boundary correlators in AdS and late-time correlators in dS, are obtained via Witten diagram calculations. While formally analogous to flat-space Feynman diagrams, even tree-level Witten diagrams are significantly more complicated due to the …

Double logarithmic contribution to Higgs pair production in the high-energy limit
Zhenghong Hu, Tao Liu
https://arxiv.org/abs/2509.06381 https://arxiv.org/…

Double logarithmic contribution to Higgs pair production in the high-energy limit
We study the leading logarithmic QCD corrections to Higgs pair production in the high-energy limit, which originate from soft quark exchange in the Feynman diagram and are thus suppressed by the quark mass. It is found that triangle Feynman diagrams can be analyzed in the same way as single Higgs production mediated by bottom quarks [45-47], while for diagrams of box type we cannot get an all-order result due to the many more double logarithmic structures they own. In this paper we calculate th…

Projector Method for Nonlinear Light-Matter Interactions and Quantum Geometry
Zhichao Guo, Zhuocheng Lu, Hua Wang
https://arxiv.org/abs/2509.09216 https://…

Projector Method for Nonlinear Light-Matter Interactions and Quantum Geometry
We develop a systematic projector-based Feynman diagram framework that intrinsically encodes quantum geometry for nonlinear optical responses. By explicitly incorporating geometric quantities such as the quantum geometric tensor, quantum hermitian connection, and triple phase product, the method ensures component-wise gauge invariance and seamlessly extends to multiband systems, enabling accurate calculations of quantum geometry and nonlinear optical responses. We derive the projector formalism…

$2$-split from Feynman diagrams and Expansions
Bo Feng, Liang Zhang, Kang Zhou
https://arxiv.org/abs/2508.21345 https://arxiv.org/pdf/2508.21345

$2$-split from Feynman diagrams and Expansions
In this paper, we investigate the $2$-split behavior of tree-level amplitudes of bi-adjoint scalar (BAS), Yang-Mills (YM), non-linear sigma model (NLSM), and general relativity (GR) theories under certain kinematic conditions. Our approach begins with a proof, based on the Feynman diagram method, of the $2$-split property for tree-level BAS$\oplus$X amplitudes with $\mathrm{X}={\mathrm{YM},\mathrm{NLSM},\mathrm{GR}}$. The proof relies crucially on a particular pattern in the Feynmam rules of va…