非可逆斐波那契选择规则在双希格斯二重态模型中的应用
A non-invertible Fibonacci selection rule for two-Higgs-doublet models
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中文总结 AI 辅助
本研究提出用非可逆斐波那契选择规则替代Z2对称性来抑制双希格斯模型中的味改变相互作用，该规则限制额外希格斯粒子质量，并在精确对齐极限下预测其质量低于150 GeV，同时给出HL-LHC可探测的抑制双光子信号。
中文摘要 AI 辅助
我们研究双希格斯二重态模型，这是标准模型（SM）的扩展，包含两个希格斯二重态而非一个。树级希格斯介导的相互作用会改变夸克或轻子味，通常通过离散的$\mathbb{Z}_2$对称性来抑制。受弦紧致化的启发，我们转而在此匹配尺度$\Lambda$上施加一个非可逆的斐波那契选择规则来实现这一目的。该规则还禁止了通常允许额外希格斯粒子变得任意重的独立质量参数，而重整化群演化在$\Lambda$以下重新生成该参数。一个允许的$\mathbb{Z}_2$破缺四次相互作用同时避免了稳定的宇宙学畴壁。在精确对齐极限下，要求微扰幺正性和从下方有界性直至匹配尺度，将三个非标准模型希格斯态的质量限制在一定范围内；对于$\Lambda=10^{19}\\,\mathrm{GeV}$，它们位于约$150\\,\mathrm{GeV}$以下。扫描的参数空间预测了希格斯双光子信号强度受到抑制，这在高亮度大型强子对撞机（HL-LHC）的预期覆盖范围内。这说明了弦论中的非可逆选择规则如何在希格斯物理中留下可测试的信号。
英文摘要
We study two-Higgs-doublet models, extensions of the Standard Model (SM) containing two Higgs doublets rather than one. Tree-level Higgs-mediated interactions that change quark or lepton flavor are conventionally suppressed by a discrete $\mathbb{Z}_2$ symmetry. Motivated by string compactifications, we instead impose a non-invertible Fibonacci selection rule at a matching scale $Λ$ for that purpose. This rule also forbids the independent mass parameter that normally allows the additional Higgs particles to become arbitrarily heavy, while renormalization-group evolution regenerates it below $Λ$. An allowed $\mathbb{Z}_2$-breaking quartic interaction simultaneously avoids stable cosmological domain walls. In the exact alignment limit, requiring perturbative unitarity and boundedness from below up to the matching scale bounds the masses of the three non-SM Higgs states; for $Λ=10^{19}\,\mathrm{GeV}$, they lie below about $150\,\mathrm{GeV}$. The scanned parameter space predicts a suppressed Higgs diphoton signal strength within the projected reach of the HL-LHC. This illustrates how a stringy non-invertible selection rule can leave testable signatures in Higgs physics.
发表机构
- The University of Osaka（大阪大学）
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