论文标题

在碎裂的系统中近乎符合的动力学

Near-conformal dynamics in a chirally broken system

论文作者

Appelquist, Thomas, Brower, Richard C., Cushman, Kimmy K., Fleming, George T., Gasbarro, Andrew D., Hasenfratz, Anna, Jin, Xiao-Yong, Neil, Ethan T., Osborn, James C., Rebbi, Claudio, Rinaldi, Enrico, Schaich, David, Vranas, Pavlos, Witzel, Oliver

论文摘要

复合希格斯模型必须表现出与量子染色体动力学(QCD)非常不同的动力学,无论它们是将希格斯玻色子描述为dialatonlike状态还是伪 - nambu-goldstone-boson。现象学模型经常需要大量的尺度分离和较大的异常维度。质量分解系统非常适合复合Higgs模型,因为它们由紫外线中的保形固定点支配,但在红外线中被授课。在这项工作中,我们使用晶格场理论计算与域壁费米子一起研究具有四种光和六种重量风味的系统。我们演示了附近的共形固定点如何影响在红外中表现出手性对称性破裂的四种光口味的性质。具体而言,我们描述了尺寸的物理量的高度标准,并确定相应的异常质量维度。我们获得$ y_m = 1+γ^*= 1.47(5)$表明$ n_f = 10 $位于保形窗口内。将低能谱与Dilaton手性扰动理论的预测进行比较,我们观察到了极好的一致性,这支持了预期4+6个质量分解系统具有相对较轻的$ 0^{++} $ isosingletlelet标量的接近统一动力学。

Composite Higgs models must exhibit very different dynamics from quantum chromodynamics (QCD) regardless whether they describe the Higgs boson as a dilatonlike state or a pseudo-Nambu-Goldstone boson. Large separation of scales and large anomalous dimensions are frequently desired by phenomenological models. Mass-split systems are well-suited for composite Higgs models because they are governed by a conformal fixed point in the ultraviolet but are chirally broken in the infrared. In this work we use lattice field theory calculations with domain wall fermions to investigate a system with four light and six heavy flavors. We demonstrate how a nearby conformal fixed point affects the properties of the four light flavors that exhibit chiral symmetry breaking in the infrared. Specifically we describe hyperscaling of dimensionful physical quantities and determine the corresponding anomalous mass dimension. We obtain $y_m=1+γ^*= 1.47(5)$ suggesting that $N_f=10$ lies inside the conformal window. Comparing the low energy spectrum to predictions of dilaton chiral perturbation theory, we observe excellent agreement which supports the expectation that the 4+6 mass-split system exhibits near-conformal dynamics with a relatively light $0^{++}$ isosinglet scalar.

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