Mapping the Nucleus: A New Approach to Parton Distributions
![The study demonstrates that nucleon effective mass, extracted from two-point correlators, aligns with relativistic expectations-specifically, [latex]m\_{\rm eff}=\sqrt{m\_{0}^{2}+(P^{z})^{2}}[/latex] with a static mass of 1.1 GeV-and that a fit to the ground-state energy dispersion relation-[latex]E=\sqrt{m\_{0}^{2}+c\_{1}P^{2}+c\_{2}a^{2}P^{4}}[/latex]-accurately captures the momentum dependence of nucleon energies, as evidenced by the consistency between fitted parameters and theoretical predictions.](https://arxiv.org/html/2602.11283v1/x2.png)
Researchers have achieved a first-of-its-kind lattice QCD calculation of nucleon parton distribution functions, opening a new pathway for understanding the internal structure of protons and neutrons.



![Large language models accelerate generative inference by preserving the computations of [latex]Q K^T[/latex] and [latex]\mathrm{Softmax}(\cdot)\times V[/latex] for previously generated tokens within a KV cache, enabling efficient reuse of information across sequential decoding steps.](https://arxiv.org/html/2602.11470v1/x1.png)
![The perturbative calculation of the [latex]q^2[/latex] spectrum in [latex]b \rightarrow u \ell \bar{\nu}_{\ell}[/latex] decay, carried out to order [latex]\mathcal{O}(\alpha_s^3)[/latex] within the [latex]b\bar{b}[/latex] quark pole mass scheme, demonstrates a predictable sensitivity to the renormalization scale μ, evidenced by variations obtained using a conventional band defined by [latex]m_{b,os}/2[/latex] and [latex]m_{b,os}[/latex], and normalized by [latex]m_{b,os}^2[/latex].](https://arxiv.org/html/2602.11879v1/x19.png)
![CosmicTurtle establishes cryptographic provenance by executing compilation within a zero-knowledge virtual machine-the zkVM-and generating a succinct proof verifying that the resulting code genuinely originates from the specified source and compiler, effectively ensuring the integrity of the build process via [latex]\mathbb{Z}_p[/latex] arithmetic.](https://arxiv.org/html/2602.11887v1/x1.png)

![Calculations of [latex]\mathcal{O}(\alpha)[/latex] corrections to beta decay incorporate hadronic states (represented by double lines), leptons (single lines), and photons (wavy lines), with weak and electromagnetic current insertions denoted by hatched circles to refine decay rate predictions.](https://arxiv.org/html/2602.11253v1/Figures/diagrams.jpg)
