Bourgoin A, Hees A, Bouquillon S, Le Poncin-Lafitte C, Francou G, Angonin M-C
SYRTE, Observatoire de Paris, PSL Research University, CNRS, Sorbonne Universités, UPMC Univ. Paris 06, LNE, 61 avenue de l'Observatoire, 75014 Paris, France.
Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA.
Phys Rev Lett. 2016 Dec 9;117(24):241301. doi: 10.1103/PhysRevLett.117.241301.
Lorentz symmetry violations can be parametrized by an effective field theory framework that contains both general relativity and the standard model of particle physics called the standard-model extension (SME). We present new constraints on pure gravity SME coefficients obtained by analyzing lunar laser ranging (LLR) observations. We use a new numerical lunar ephemeris computed in the SME framework and we perform a LLR data analysis using a set of 20 721 normal points covering the period of August, 1969 to December, 2013. We emphasize that linear combination of SME coefficients to which LLR data are sensitive and not the same as those fitted in previous postfit residuals analysis using LLR observations and based on theoretical grounds. We found no evidence for Lorentz violation at the level of 10^{-8} for s[over ¯]^{TX}, 10^{-12} for s[over ¯]^{XY} and s[over ¯]^{XZ}, 10^{-11} for s[over ¯]^{XX}-s[over ¯]^{YY} and s[over ¯]^{XX}+s[over ¯]^{YY}-2s[over ¯]^{ZZ}-4.5s[over ¯]^{YZ}, and 10^{-9} for s[over ¯]^{TY}+0.43s[over ¯]^{TZ}. We improve previous constraints on SME coefficient by a factor up to 5 and 800 compared to postfit residuals analysis of respectively binary pulsars and LLR observations.
洛伦兹对称性破缺可以通过一个有效场论框架来参数化，该框架包含广义相对论和称为标准模型扩展（SME）的粒子物理学标准模型。我们通过分析月球激光测距（LLR）观测结果，给出了对纯引力SME系数的新限制。我们使用在SME框架中计算出的新的数值月球星历表，并使用一组涵盖1969年8月至2013年12月期间的20721个正常点进行LLR数据分析。我们强调，LLR数据敏感的SME系数的线性组合与之前基于理论依据使用LLR观测进行拟合后残差分析中所拟合的系数不同。我们没有发现(\overline{s}^{TX})在(10^{-8})水平、(\overline{s}^{XY})和(\overline{s}^{XZ})在(10^{-12})水平、(\overline{s}^{XX}-\overline{s}^{YY})和(\overline{s}^{XX}+\overline{s}^{YY}-2\overline{s}^{ZZ}-4.5\overline{s}^{YZ})在(10^{-11})水平以及(\overline{s}^{TY}+0.43\overline{s}^{TZ})在(10^{-9})水平存在洛伦兹破缺的证据。与分别对双脉冲星和LLR观测进行的拟合后残差分析相比，我们将对SME系数的先前限制提高了高达5倍和800倍。
