标题： $f(Q)$-引力与中微子物理 显示英文标题

标题： $f(Q)$-gravity and neutrino physics

摘要： 在$f(Q)$引力框架内，我们对宇宙学观测量进行了现象学研究，考虑到中微子物理与修改引力参数之间的退化，并识别出特定模式以打破这种退化。 我们还分别对中微子的总质量$\Sigma m_{\nu}$和有效中微子种类数$N_{\rm eff}$提供了约束，使用宇宙微波背景（CMB）、重子声学振荡（BAO）、红移空间畸变（RSD）、超新星（SNIa）、星系团聚（GC）和弱引力透镜（WL）测量数据。 对于 CMB+BAO+RSD+SNIa 的组合，中微子总质量的最强上限为 95% 置信度下的$\Sigma m_\nu<0.277$eV。 对于相同的数据组合，我们发现$N_{\rm eff}=2.93^{+0.31}_{-0.34}$在 95% 置信度下。 我们还发现，我们考虑的所有数据组合都倾向于比$\Lambda$CDM 更强的引力相互作用。 最后，我们考虑了$\chi^2$和偏差信息准则统计量，并发现$f(Q)+\Sigma m_\nu$模型在统计上由数据支持，优于标准情景。 相反，$f(Q)+N_{\rm eff}$被 CMB+BAO+RSD+SNIa 支持，但通过 GC 和 WL 数据发现对其有中等程度的反对证据。 显示英文摘要

摘要： Within the $f(Q)$-gravity framework we perform a phenomenological study of the cosmological observables in light of the degeneracy between neutrinos physics and the modified gravity parameter and we identify specific patterns which allow to break such degeneracy. We also provide separately constraints on the total mass of the neutrinos, $\Sigma m_{\nu}$, and on the effective number of neutrino species, $N_{\rm eff}$, using cosmic microwave background (CMB), baryon acoustic oscillation (BAO), redshift space distortion (RSD), supernovae (SNIa), galaxy clustering (GC) and weak gravitational lensing (WL) measurements. The strongest upper bound on the total mass of the neutrinos is found for the combination of CMB+BAO+RSD+SNIa and it is $\Sigma m_\nu<0.277$ eV at 95\% C.L. For the same combination of data we find $N_{\rm eff}=2.93^{+0.31}_{-0.34}$ at 95\% C.L. We also find that all combinations of data we consider, prefer a stronger gravitational interaction than $\Lambda$CDM. Finally, we consider the $\chi^2$ and deviance information criterion statistics and find the $f(Q)+\Sigma m_\nu$ model to be statistically supported by data over the standard scenario. On the contrary $f(Q)+N_{\rm eff}$ is supported by CMB+BAO+RSD+SNIa but a moderate evidence against it is found with GC and WL data.