Parity ($\mathcal{P}$)–violating pseudoscalar or pseudovector cosmic fields are invoked in different models for cold dark matter or in the standard model extension that allows for Lorentz invariance violation. A direct detection of the timelike component of such fields requires a direct measurement of $\mathcal{P}$-odd potentials or their evolution over time. Herein, advantageous properties of chiral molecules, in which $\mathcal{P}$-odd potentials lead to resonance frequency differences between enantiomers, for direct detection of such $\mathcal{P}$-odd cosmic field interactions are demonstrated. Scaling behavior of electronic structure enhancements of such interactions with respect to nuclear charge number and the fine-structure constant is derived analytically. This allows a simple estimate of the effect sizes for arbitrary molecules. The analytical derivation is supported by quasirelativistic numerical calculations in the molecules ${\mathrm{H}}_2{X}_2$ and ${\mathrm{H}}_{2}X\mathrm{O}$ with $X =$ O, S, Se, Te, or Po. Parity-violating effects due to cosmic fields on the C–F stretching mode in CHBrClF are compared to electroweak parity violation and influences of nonseparable anharmonic vibrational corrections are discussed. On this basis, Gaul et al. [Phys. Rev. Lett. 125, 123004 (2020)] estimated from a 20-year-old experiment with CHBrClF that bounds on Lorentz invariance violation as characterized by the parameter $|b_0^{\mathrm{e}}|$ can be pushed down to the order of ${10}^{-17}\mathrm{GeV}$ in modern experiments with suitably selected molecular system, which will be an improvement of the current best limits by at least two orders of magnitude. This serves to highlight the particular opportunities that precision spectroscopy of chiral molecules provides in the search for new physics beyond the standard model.

中文翻译：

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手性分子与宇宙场中电子的奇偶非保守相互作用

平价（$\mathcal{P}$）–违反伪标量或伪矢量宇宙场在冷暗物质的不同模型中或在允许Lorentz不变性违反的标准模型扩展中调用。直接检测此类字段的时态分量需要直接测量$\mathcal{P}$潜力或它们随时间的演变。这里，手性分子的有利性质，其中$\mathcal{P}$奇电位导致对映体之间的共振频率差异，以便直接检测此类 $\mathcal{P}$展示了奇异的宇宙场相互作用。通过分析推导这种相互作用相对于核电荷数和精细结构常数的电子结构增强的尺度行为。这允许简单估计任意分子的效应大小。分子中的拟相对论性数值计算支持了分析推导${\mathrm{H}}_2{X}_2$ 和 ${\mathrm{H}}_{2}X\mathrm{Ø}$ 与 $X =$O，S，Se，Te或Po。将宇宙磁场对CHBrClF中C–F拉伸模式造成的奇偶校验效应与电弱奇偶校验违规进行了比较，并讨论了不可分离的非谐振动校正的影响。在此基础上，Gaul等。[物理 牧师 [ 125，123004（2020）]由一项20年前的CHBrClF实验估计，该实验以参数为特征对Lorentz不变性违规进行界定$|b_0^{\mathrm{Ë}}|$ 可以向下推到 ${10}^{-17}\mathrm{GeV}$在现代实验与适当选择的分子系统，这将是由大小的至少两个数量级的目前最佳范围的改进。这凸显了手性分子的精密光谱学在寻找标准模型以外的新物理方面所提供的特殊机会。