In the present work, we have extended the standard model by an abelian \(U(1)_{X}\) gauge group and additional particles. In particular, we have extended the particle content by three right handed neutrinos, two singlet scalars and two vectors like leptons. Charged assignments under different gauge groups are such that the model is gauge anomaly free and the anomaly contributions cancel among generations. Once the symmetry gets broken then three physical Higgses are produced, one axion like particle (ALP), which also acts as the keV scale FIMP dark matter is produced and the remaining component is absorbed by the extra gauge boson. Firstly, we have successfully generated neutrino mass by the type-I seesaw mechanism for normal hierarchy with the \(3\sigma \) bound on the oscillation parameters. The ALP in the present model can explain the Xenon-1T electron recoil signal at keV scale through its coupling with the electron. We have shown that ALP can be produced from the right handed neutrino decay through the freeze in mechanism. Electron and tauon get masses from dimensional-5 operators at the Planck scale and if we consider the vevs \(v_{1,2} \simeq 10^{12}\) GeV then we can obtain the correct value of the electron mass but not the tauon mass. The vector like leptons help in getting the correct value of the tauon mass through another higher dimensional operator which also has a role in DM production by the \(2 \rightarrow 2\) process, giving the correct ballpark value of relic density for suitable reheat temperature of the Universe. We have shown that the ALP production by the higher dimensional operator can explain the electron, tauon mass and Xenon-1T signal simultaneously whereas the decay production can not explain all of them together.

在目前的工作中，我们通过阿贝尔\(U(1)_{X}\)规范群和附加粒子扩展了标准模型。特别是，我们通过三个右手中微子、两个单线态标量和两个向量（如轻子）扩展了粒子含量。不同规范组下的带电分配使得模型无规范异常并且异常贡献在几代之间抵消。一旦对称性被打破，就会产生三个物理希格斯粒子，一个轴子状粒子 (ALP)，它也作为 keV 尺度的 FIMP 暗物质产生，剩余的成分被额外的规范玻色子吸收。首先，我们已经成功地通过具有\(3\sigma \)的正常层次结构的I型跷跷板机制生成了中微子质量振荡参数的界限。本模型中的 ALP 可以通过与电子的耦合来解释 keV 尺度的 Xenon-1T 电子反冲信号。我们已经证明 ALP 可以通过冻结机制从右手中微子衰变中产生。电子和 tauon 从普朗克尺度的 5 维算子获得质量，如果我们考虑 vevs \(v_{1,2} \simeq 10^{12}\) GeV 那么我们可以获得正确的电子质量值，但是不是 tauon 质量。像轻子这样的向量有助于通过另一个高维算子获得 tauon 质量的正确值，该算子在 DM 生产中也有作用\(2 \rightarrow 2\)过程，给出了合适的宇宙再加热温度的正确的残骸密度大致值。我们已经证明，高维算子产生的 ALP 可以同时解释电子、tauon 质量和 Xenon-1T 信号，而衰变产生不能同时解释所有这些。