发表机构
College of Physics, Chongqing University; National Gravitation Laboratory, MOE Key Laboratory of Fundamental Physical Quantities Measurement, and School of Physics, Huazhong University of Science and Technology; School of Mathematics and Statistics, South-Central Minzu University; School of Physics and Optoelectronic Engineering, Yangtze University（重庆大学物理学院; 华中科技大学物理学院、引力教育部重点实验室; 中南民族大学数学与统计学院; 长江大学物理与光电工程学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究针对标准模型扩展引力扇区的高维算符，开发了有限体积响应与协方差优化方法，比较多条纹配置，发现中心线配准可显著提升灵敏度，为短距离洛伦兹对称性测试提供新途径。
AI 中文摘要
标准模型扩展的引力扇区中的高维算符会产生在短距离内迅速增长的各向异性相互作用。在早期条纹平衡研究的基础上，我们开发了一种有限体积响应和基于协方差的优化方法，用于$d=6$和$d=8$纯引力扇区。我们在$d=8$下比较了三、五和七条纹，并在两个扇区中比较了左、中心和右图案配准，使用水平和垂直条纹轴。体积积分给出方位角相关的传递矩阵，而高斯似然则考虑了系数相关性以及常数和恒星振幅的不等不确定性。三条纹在$d=8$下给出最强的总体响应。对每次配准重新优化两个方位角，使噪声加权的$D$-最优得分在$d=6$时提高高达$7.3\\%$，在$d=8$时提高高达$35.6\\%$。响应矩阵允许同时拟合所有14或22个实系数分量。最佳边缘化$1\sigma$灵敏度达到$10^{-9}\\,\mathrm{m}^{2}$和$10^{-15}\\,\mathrm{m}^{4}$，对于最有利的分量，比早期平方反比定律极限高出约两个数量级。这些结果确定了中心线配准作为改进洛伦兹对称性短距离测试的额外途径。
英文摘要
Higher-dimension operators in the gravity sector of the Standard-Model Extension generate anisotropic interactions that grow rapidly at short range. Building on earlier striped-balance studies, we develop a finite-volume response and covariance-based optimization for the \(d=6\) and \(d=8\) pure-gravity sectors. We compare three, five, and seven stripes at \(d=8\) and left, centered, and right pattern registrations in both sectors, using horizontal and vertical stripe axes. Volume integration gives azimuth-dependent transfer matrices, while a Gaussian likelihood accounts for coefficient correlations and the unequal uncertainties of constant and sidereal amplitudes. Three stripes give the strongest aggregate \(d=8\) response. Reoptimizing two azimuths for each registration increases the noise-weighted \(D\)-optimal score by up to \(7.3\%\) at \(d=6\) and \(35.6\%\) at \(d=8\). The response matrices permit simultaneous fits of all 14 or 22 real coefficient components. The best marginalized \(1σ\) sensitivities reach \(10^{-9}\,\mathrm{m}^{2}\) and \(10^{-15}\,\mathrm{m}^{4}\), about two orders of magnitude beyond earlier inverse-square-law limits for the most favorable components. These results identify centerline registration as an additional route to improved short-range tests of Lorentz symmetry.
