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arXiv 1908.00895hep-phhep-lat
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伸缩子势与晶格数据

The Dilaton Potential and Lattice Data

Thomas Appelquist, James Ingoldby, Maurizio Piai

摘要:

本文研究了一种描述近似介子与一组伪Nambu-Goldstone玻色子相互作用的有效场论。EFT的灵感,并用于分析,最近的结果,从晶格计算,揭示了一个显着的光单重标量粒子的存在。我们采用了一个简单的形式为EFT的标量势,它插在早期的建议。它描述了偏离共形对称,通过插入一个单一的运营商在领先的顺序在EFT。为了拟合晶格结果,全局内部对称性被明确打破,产生pNGB的共同质量,以及标量势的进一步加性变形。我们讨论了量子环的EFT中产生的次主导修正。从晶格测量的标量和pNGB的质量和pNGB的衰变常数,我们提取模型参数值,包括那些cumbered的标量势。结果包括保形变形明显非边缘的可能性。衰变常数和标量质量的外推值将不会远低于当前晶格确定的值。

英文摘要:

We study an effective field theory (EFT) describing the interaction of an approximate dilaton with a set of pseudo-Nambu-Goldstone bosons (pNGBs). The EFT is inspired by, and employed to analyse, recent results from lattice calculations that reveal the presence of a remarkably light singlet scalar particle. We adopt a simple form for the scalar potential for the EFT, which interpolates among earlier proposals. It describes departures from conformal symmetry, by the insertion of a single operator at leading order in the EFT. To fit the lattice results, the global internal symmetry is explicitly broken, producing a common mass for the pNGBs, as well as a further, additive deformation of the scalar potential. We discuss sub-leading corrections arising in the EFT from quantum loops. From lattice measurements of the scalar and pNGB masses and of the pNGB decay constant, we extract model parameter values, including those that characterise the scalar potential. The result includes the possibility that the conformal deformation is clearly non-marginal. The extrapolated values for the decay constants and the scalar mass would then be not far below the current lattice-determined values.

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