近共形EFT的钽化钽离子试验
Tantalizing dilaton tests from a near-conformal EFT
摘要:
在强耦合近共形规范场理论的范式下,研究了出射光标量的低能有效场论。这些研究的动机模型,表现出小的$β$ -功能附近的共形窗口(CW),也许与缓慢的尺度相关的步行和轻标量与${ 0^{++} }$量子数。我们报告我们的结果从假设的一个费米子启发EFT分析与两个无质量费米子的双指数对称(六重态)表示的SU(3)色规范群。我们的结论中有重要的警告,当在费米子质量变形的相关尺度上进行探测时,与手征对称性破缺纠缠的共形对称性破缺将驱动理论的近共形红外行为,该理论根据破缺的尺度不变性预测光标量的特征膨胀子签名。从最近合理选择的EFT描述中的介子势~ \cite{Golterman:2016lsd},我们发现了一个意外的轻介子质量的手征极限在$m_d/f_π= 1.56(28)$,设置在单位的π衰变常数$f_π$。经过进一步的统计和系统的测试,继续会后分析,这一结果是显着低于我们以前的估计,从控制较少的外推轻标量($σ$粒子)的手征微扰理论的无质量费米子极限。我们还讨论了重要的区别EFT分析和线性$σ$模型没有EFT签名。出于比较的原因,我们评论的费米子测试从最近的工作与$n_f=8$口味的基本表示。
英文摘要:
The dilaton low-energy effective field theory (EFT) of an emergent light scalar is probed in the paradigm of strongly coupled near-conformal gauge theories. These studies are motivated by models which exhibit small $β$-functions near the conformal window (CW), perhaps with slow scale-dependent walking and a light scalar with ${ 0^{++} }$ quantum numbers. We report our results from the hypothesis of a dilaton inspired EFT analysis with two massless fermions in the two-index symmetric (sextet) representation of the SU(3) color gauge group. With important caveats in our conclusions, conformal symmetry breaking entangled with chiral symmetry breaking would drive the near-conformal infrared behavior of the theory predicting characteristic dilaton signatures of the light scalar from broken scale invariance when probed on relevant scales of fermion mass deformations. From a recently reasoned choice of the dilaton potential in the EFT description~\cite{Golterman:2016lsd} we find an unexpectedly light dilaton mass in the chiral limit at $m_d/f_π= 1.56(28)$, set in units of the pion decay constant $f_π$. Subject to further statistical and systematic tests of continued post-conference analysis, this result is significantly lower than our earlier estimates from less controlled extrapolations of the light scalar (the $σ$-particle) to the massless fermion limit of chiral perturbation theory. We also discuss important distinctions between the dilaton EFT analysis and the linear $σ$-model without dilaton signatures. For comparative reasons, we comment on dilaton tests from recent work with fermions in the fundamental representation with $n_f=8$ flavors.
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