Singlets in gauge theories with fundamental matter
Singlets in gauge theories with fundamental matter
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DOI：
10.1103/physrevd.109.034504
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发表时间：
2023-04
影响因子：
5
通讯作者：
E. Bennett;Ho-Fu Hsiao;Jong-Wan Lee;B. Lucini;A. Maas;M. Piai;Fabian Zierler
中科院分区：
文献类型：
--
作者：
E. Bennett;Ho-Fu Hsiao;Jong-Wan Lee;B. Lucini;A. Maas;M. Piai;Fabian Zierler
我们提供了第一个确定的质量最轻的味道单赝标和标量束缚态（介子），在$\rm{Sp}（4）$杨米尔斯理论耦合到两种口味的基本费米子，使用晶格方法。这一理论既适用于复合希格斯粒子，也适用于强相互作用的暗物质。我们发现单重态的质量与轻味态的质量相当，这可能对唯象模型具有重要意义。我们专注于区域的参数空间对应于一个中等重质量的费米子制度。我们比较了我们计算的光谱，现有的和新的结果为$\rm{SU}（2）$和$\rm{SU}（3）$理论，揭示了一个有趣的程度的共性。作为一个副产品，为了执行上述测量，我们实施和测试，在辛格点规范理论的背景下，几个战略的治疗断开图的贡献，两点相关函数。这些技术的进步为今后研究单重态扇区在更广泛的部分参数空间的这个和其他晶格理论与辛规范群。
We provide the first determination of the mass of the lightest flavor-singlet pseudoscalar and scalar bound states (mesons), in the $\rm{Sp}(4)$ Yang-Mills theory coupled to two flavors of fundamental fermions, using lattice methods. This theory has applications both to composite Higgs and strongly-interacting dark matter scenarios. We find the singlets to have masses comparable to those of the light flavored states, which might have important implications for phenomenological models. We focus on regions of parameter space corresponding to a moderately heavy mass regime for the fermions. We compare the spectra we computed to existing and new results for $\rm{SU}(2)$ and $\rm{SU}(3)$ theories, uncovering an intriguing degree of commonality. As a by-product, in order to perform the aforementioned measurements, we implemented and tested, in the context of symplectic lattice gauge theories, several strategies for the treatment of disconnected-diagram contributions to two-point correlation functions. These technical advances set the stage for future studies of the singlet sector in broader portions of parameter space of this and other lattice theories with a symplectic gauge group.