论文标题
$ b $异常，$ u_1 $ leptoquark和暗物质
The $B$ Anomalies, the $U_1$ Leptoquark and Dark Matter
论文作者
论文摘要
当今涉及$ b \ tosμ^+μ^ - $或$ b \ tocτ^ - {\barν} $转换的当今$ b $ - $ b \ $ b \ $^+μ^ - $或$ b \ to to vector $ u_1 $ leptoquark，均以$ u_1 $ leptoquark的质量为$ $ m_ {u_1} {u_1}} \ ge 1.8 $ tev。在标量单元暗物质模型（SSDMM）中，DM是标量$ s $，通过$λ_{hs} \，s^2 | h |^2 $将其耦合到Higgs。我们将拟合到数据更新，并发现SSDMM现在仅适用于$ M_S \ ge 1.6 $ tev。在本文中，我们假设DM还通过$λ_{u_1 s} \，s^2 \，u_ {1μ}^{\ dagger} u^μ_1$耦合到$ u_1 $。除了通过$ s \ to u_1 {\ bar u} _1 $导致DM歼灭，此耦合还会在一个循环中生成$ ssgg $和$ssγγ$耦合。尽管天真的发散性，但可以根据$ u_1 $是TEV量表中损坏的组的仪表的假设来计算这些循环图。使用此DM- $ U_1 $耦合项，对各种DM可观察物（遗物密度，直接和间接检测）还有其他贡献。我们发现SSDMM上的约束对于重型DM（$ M_S \ ge M_ {U_1} $）和Light DM（$ M_S <M_S <M_ {U_1} $）都放松了。
The present-day $B$-anomalies involving $b \to s μ^+ μ^-$ or $b \to c τ^- {\barν}$ transitions can all be explained with the addition of a vector $U_1$ leptoquark with a mass of $M_{U_1} \ge 1.8$ TeV. In the scalar singlet dark matter model (SSDMM), the DM is a scalar $S$ that couples to the Higgs via $λ_{hS} \, S^2|H|^2$. We update the fit to the data and find that the SSDMM is now viable only for $M_S \ge 1.6$ TeV. In this paper, we assume that the DM also couples to the $U_1$ via $λ_{U_1 S} \, S^2 \, U_{1μ}^{\dagger} U^μ_1$. In addition to leading to DM annihilation via $S S \to U_1 {\bar U}_1$, this coupling generates $SSgg$ and $SSγγ$ couplings at one loop. Although naively divergent, these loop diagrams can be calculated under the assumption that the $U_1$ is a gauge boson of a group broken at the TeV scale. With this DM-$U_1$ coupling term, there are additional contributions to the various DM observables (relic density, direct and indirect detection). We find that the constraints on the SSDMM are relaxed for both heavy DM ($M_S \ge M_{U_1}$) and light DM ($M_S < M_{U_1}$).
