arXiv 2104.102602021-04-20hep-phhep-th

连续统线性膨胀

The Continuum Linear Dilaton

Eugenio Megias, Mariano Quiros

备注：: 33 pages, 7 figures
DOI：: 10.5506/APhysPolB.52.711

摘要：

连续谱可以作为一种方法，来缓解新物理学窄共振在直接实验研究中的难以捉摸所产生的紧张局势。受后者的启发，我们考虑了具有连续谱KK模的线性声子模型。它是由一个临界指数体电位的标量场稳定的距离，在$y=0$的UV边界和一个裸（好）奇异性在$y=y_s$，在适当的坐标，对应于共形坐标$z_s\to\infty$。在这个理论中，截断$M_s$是一个中间尺度$M_s\simeq 10^{-5}M_{\rm Pl}$，扭曲因子解决了$M_s$和TeV之间的层次结构，而$M_{\rm Pl}$和$M_s$之间的层次结构必须通过耦合$g_s\simeq 10^{-5}$的（Little）弦论来解决。标准模型被定位在一个4D IR膜上。引力子和辐射子的格林函数和光谱函数具有TeV质量间隙的连续状态，以及由4D引力子和轻辐射子组成的孤立极点。我们在质量间隙下建立了有效场论，在质量间隙中积分出KK模的连续体，产生了一组八维算符，这些算符有助于低能电弱精确观测，以及矢量玻色子散射过程中的高能么正性破坏。辐射子的质量取决于稳定的UV膜势，其波函数被定位在IR方向，这增强了其与SM场的耦合。

英文摘要：

Continuum spectra can be a way out to alleviate the tension generated by the elusiveness of narrow resonances of new physics in direct experimental searches. Motivated by the latter, we consider the linear dilaton model with a continuum spectrum of KK modes. It is provided by a critical exponential bulk potential for the scalar field stabilizing the distance, between the UV boundary at $y=0$ and a naked (good) singularity at $y=y_s$, in proper coordinates, which corresponds in conformal coordinates to $z_s\to\infty$. The cutoff $M_s$ in this theory is an intermediate scale $M_s\simeq 10^{-5}M_{\rm Pl}$ and the warped factor solves the hierarchy between $M_s$ and the TeV, while the hierarchy between $M_{\rm Pl}$ and $M_s$ has to be solved by a (Little) String Theory with coupling $g_s\simeq 10^{-5}$. The Standard Model is localized on a 4D IR brane. The graviton and radion Green's and spectral functions have a continuum of states with a TeV mass gap, and isolated poles consisting on the 4D graviton and the light radion/dilaton. We construct the effective field theory below the mass gap where the continua of KK modes are integrated out, generating a set of dimension eight operators which contribute to low energy electroweak precision observables, and high energy violation of unitarity in vector boson scattering processes. The radion mass depends on the stabilizing UV brane potential and its wave function is localized toward the IR which enhances its coupling with the SM fields.

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