论文标题
发条$ d $ term的通货膨胀和远程力量
Inflation and long-range force from clockwork $D$-term
论文作者
论文摘要
与超对称的Abelian仪表组的真空能量相关的真空能量驱动的宇宙通货膨胀,以及由超光量规boson $ z^\ prime介导的远距离力量的可能存在,是基于额外$ u(1)$ symmetries的模型的两个极端示例。大型真空能将通货膨胀的尺度设置为,而由异常的额外测量$ u(1)$ symmetries诱导的远距离力量的尺度受到中微子振荡,二进制脉冲脉冲时间和隐形中微子衰减的约束。这两个尺度之间存在约40个数量级的差异。同样,与标准模型耦合相比,与远程力相关的量规耦合非常小,并且是通货膨胀所需的。我们提出了一个基于发条机制的框架,在这种框架中,这些截然不同的尺度和相关的新物理可以在基本理论中调用任何任意小或大参数的情况下共存。引入了$ u(1)$的链条,并具有最接近的近纽布交互作用。一端引入的大型$ d $ - 结构通货膨胀的动力。 $ z^\ prime $本地化在链的另一端,它可以是无质量的,也可以自然抑制的质量。标准型号字段可以在链条中的中间$ U(1)$下收取,以引起其小型有效耦合$ g^\ prime $,并带有$ z^\ prime $。 $ g^\ prime $和$ m_ {z^\ prime} $的约束是在类型$l_μ-l_τ$,$ l_e-l_μ$和$ b-l $的背景下讨论的。这些以及通货膨胀可观察到的,用于限制基础发条模型的参数。
Cosmic inflation driven by the vacuum energy associated with the $D$-term of a supersymmetric abelian gauge group and a possible existence of long-range force mediated by an ultra-light gauge boson $Z^\prime$ are two extreme examples of models based on extra $U(1)$ symmetries. Large vacuum energy sets the scale of inflation while the scales of long-range forces induced by anomaly free extra gauged $U(1)$ symmetries are constrained by neutrino oscillations, binary pulsar timings and invisible neutrino decay. There exists a difference of about 40 orders of magnitude between the scales of these two. Also, gauge couplings associated with the long-range forces are very small compared to the standard model couplings and the one required for inflation. We propose a framework based on clockwork mechanism in which these vastly different scales and associated new physics can coexist without invoking any arbitrarily small or large parameter in the fundamental theory. A chain of $U(1)$ is introduced with characteristic nearest-neighbour interactions. A large $D$-term introduced at one end governs the dynamics of inflation. $Z^\prime$ is localized on the other end of the chain, and it can be massless or can get naturally suppressed mass. The standard model fields can be charged under one of the intermediate $U(1)$ in the chain to give rise to their small effective coupling $g^\prime$ with $Z^\prime$. Constraints on $g^\prime$ and $M_{Z^\prime}$ are discussed in the context of the long-range forces of type $L_μ- L_τ$, $L_e - L_μ$ and $B-L$. These, along with the inflation observables, are used to constraint the parameters of the underlying clockwork model.