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arXiv 2303.00541hep-thhep-lathep-ph
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从自下而上全息中的规则几何探讨极简复合Higgs模型

Toward minimal composite Higgs models from regular geometries in bottom-up holography

Daniel Elander, Ali Fatemiabhari, Maurizio Piai

AI总结:

基于自下而上全息模型研究SO(5)至SO(4)对称性破缺,发现特定参数空间内PNGBs和最轻标量态参数化地轻于其他束缚态,为复合Higgs模型构建提供新线索。

摘要:

我们研究了一种场论的自下而上全息描述,该理论导致近似SO(5)全局对称性自发破缺为其SO(4)子群。弱耦合的六维引力对偶具有规则几何。其中一个维度被紧致化在一个圆上,该圆在全息方向的有限值处平滑收缩至零尺寸,从而引入一个物理标度,其方式类似于对偶四维场论中 confinement(禁闭)的效应。我们研究了携带SO(5)量子数的体场小涨落谱,它们在对偶场论中可被解释为自旋为0和自旋为1的束缚态。本工作补充了早期仅关注SO(5)单态的发表。我们探索了理论的参数空间,特别关注具有合适量子数以被识别为 pseudo-Nambu-Goldstone Bosons (PNGBs) 的复合态。我们发现,在该模型中PNGBs通常较重,其质量与其他束缚态同阶,表明场论一侧存在可观的显式对称性破缺。但我们还发现了一个定性上全新的、意料之外的结果。当诱导SO(5)破缺的场论算符的维度接近时空维度的一半时,存在一个参数空间区域,其中PNGBs和最轻标量场在参数上均轻于场论的所有其他束缚态。尽管已知该区域会产生亚稳态经典背景,但这一发现可能对复合Higgs语境下的模型构建具有意义。

英文摘要:

We study a bottom-up, holographic description of a field theory yielding the spontaneous breaking of an approximate SO(5) global symmetry to its SO(4) subgroup. The weakly-coupled, six-dimensional gravity dual has regular geometry. One of the dimensions is compactified on a circle that shrinks smoothly to zero size at a finite value of the holographic direction, hence introducing a physical scale in a way that mimics the effect of confinement in the dual four-dimensional field theory. We study the spectrum of small fluctuations of the bulk fields carrying SO(5) quantum numbers, which can be interpreted as spin-0 and spin-1 bound states in the dual field theory. This work supplements an earlier publication, focused only on the SO(5) singlet states. We explore the parameter space of the theory, paying particular attention to composite states that have the right quantum numbers to be identified as pseudo-Nambu-Goldstone Bosons (PNGBs). We find that in this model the PNGBs are generally heavy, with masses of the same order as other bound states, indicating the presence of a sizeable amount of explicit symmetry breaking in the field theory side. But we also find a qualitatively new, unexpected result. When the dimension of the field-theory operator inducing SO(5) breaking is close to half of the space-time dimensionality, there exists a region of parameter space in which the PNGBs and the lightest scalar are both parametrically light in comparison to all other bound states of the field theory. Although this region is known to yield metastable classical backgrounds, this finding might be relevant to model building in the composite Higgs context.

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