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arXiv 1805.00568hep-ph
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味对称规范${\rm B-L}$扩张中的逆跷跷板和暗物质

Inverse seesaw and dark matter in a gauged ${\rm B-L}$ extension with flavour symmetry

Anirban Biswas, Sandhya Choubey, Sarif Khan

摘要:

我们提出了一个由反跷跷板机制产生中微子质量的模型,提供了一个可行的暗物质候选者,并解释了μ子($g-2$)异常。标准模型(SM)规范群扩展为规范U(1)$_{\rm B-L}$和规范U(1)$_{\rm L_μ - L_τ}$。虽然U(1)$_{\rm L_μ - L_τ}$是无反常的,但U(1)$_{\rm B-L}$引入的反常在为逆跷跷板机制引入的六个SM单线态费米子和在该模型中引入的四个额外的手征费米子之间被抵消。在自发对称性破缺之后,四个手征费米子自由度结合起来,得到两个狄拉克态。最轻的狄拉克费米子变得稳定,因此成为暗物质的候选者。我们专注于该区域的参数空间的暗物质湮灭的右手中微子,与中微子部门的暗物质部门。U(1)$_{\rm L_μ - L_τ}$规范对称性为反跷跷板框架提供了一种味结构,成功地解释了观测到的中微子质量和混合。我们根据中微子振荡数据研究了模型参数,发现了它们之间的相关性。一些模型参数的值被证明是相互排斥的正常和倒置的中微子质量本征态之间的顺序。此外,μ子($g-2$)异常可以用U(1)$_{\rm L_μ - L_τ}$规范玻色子的附加贡献来解释。

英文摘要:

We propose a model which generates neutrino masses by the inverse seesaw mechanism, provides a viable dark matter candidate and explains the muon ($g-2$) anomaly. The Standard Model (SM) gauge group is extended with a gauged U(1)$_{\rm B-L}$ as well as a gauged U(1)$_{\rm L_μ - L_τ}$. While U(1)$_{\rm L_μ - L_τ}$ is anomaly free, the anomaly introduced by U(1)$_{\rm B-L}$ is cancelled between the six SM singlet fermions introduced for the inverse seesaw mechanism and four additional chiral fermions introduced in this model. After spontaneous symmetry breaking the four chiral fermionic degrees of freedom combine to give two Dirac states. The lightest Dirac fermion becomes stable and hence the dark matter candidate. We focus on the region of the parameter space where the dark matter annihilates to the right-handed neutrinos, relating the dark matter sector with the neutrino sector. The U(1)$_{\rm L_μ - L_τ}$ gauge symmetry provides a flavour structure to the inverse seesaw framework, successfully explaining the observed neutrino masses and mixings. We study the model parameters in the light of neutrino oscillation data and find correlation between them. Values of some of the model parameters are shown to be mutually exclusive between normal and inverted ordering of the neutrino mass eigenstates. Moreover, the muon ($g-2$) anomaly can be explained by the additional contribution arising from U(1)$_{\rm L_μ - L_τ}$ gauge boson.

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