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arXiv 1909.02111hep-ph
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Gildener-Weinberg模型中新的轻希格斯玻色子玻色子的唯象

Phenomenology of the new light Higgs bosons in Gildener-Weinberg model

Kenneth Lane, Eric Pilon

备注：
25 pages, 5 figures, 1 table; Completely revised version of arXiv:1909.0211, including new title, new abstract and substantial new material and focus on the LHC signals of the Higgs bosons in a 2HDM Gildener-Weinberg model. Version to be published in Physical Review D
发表信息：
Phys. Rev. D 101, 055032 (2020)
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摘要：

Gildener-Weinberg（GW）模型的电弱对称性破缺特别有趣，因为低质量和接近标准模型的$125\,{\rm GeV}$希格斯玻色子的耦合，$H$，受到近似尺度对称性的保护。这些模型的另一个重要但至今未被充分认识的特征是，求和规则将出现在这些模型中的新的带电和中性希格斯玻色子玻色子的质量限制在大约$500\,{\rm GeV}$以下。因此，他们是在LHC数据的范围内，目前或即将在手。到目前为止，这些模型还没有注意到，某些立方和四次希格斯标量耦合在经典水平上消失了。这是由于尺度对称性的自发破缺。这些耦合成为非零的显式规模打破在科尔曼-温伯格环展开的有效潜力。在双Higgs偶极GW模型中，我们计算了$λ_{HHH} \simeq 2(λ_{HHH})_{\rm SM} = 64\,{\rm GeV}$。这对应于$σ(pp \to HH) \cong 15$ - $20\,{\rm fb}$，它的{ \em最小值}在大型强子对撞机上的$\sqrt{s} = 13$ -- $14\,{\rm TeV}$。至少需要$27\,{\rm TeV}$ HE-LHC来观察这个横截面。我们还发现了$λ_{HHHH} \simeq 4(λ_{HHHH})_{\rm SM} = 0.129$，它在$pp \to HHH$中的观测需要一个$100\,{\rm TeV}$对撞机。由于上述求和规则，这些结果适用于{ \em all} GW模型。鉴于这种不乐观的预测，我们强调，大型强子对撞机寻找新的相对较轻的希格斯玻色子玻色子的GW模型是迄今为止最可靠的方式来测试他们在这个十年。

英文摘要：

Gildener-Weinberg (GW) models of electroweak symmetry breaking are especially interesting because the low mass and nearly Standard Model couplings of the $125\,{\rm GeV}$ Higgs boson, $H$, are protected by approximate scale symmetry. Another important but so far under-appreciated feature of these models is that a sum rule bounds the masses of the new charged and neutral Higgs bosons appearing in {\em all} these models to be below about $500\,{\rm GeV}$. Therefore, they are within reach of LHC data currently or soon to be in hand. Also so far unnoticed of these models, certain cubic and quartic Higgs scalar couplings vanish at the classical level. This is due to spontaneous breaking of the scale symmetry. These couplings become nonzero from explicit scale breaking in the Coleman-Weinberg loop expansion of the effective potential. In a two-Higgs doublet GW model, we calculate $λ_{HHH} \simeq 2(λ_{HHH})_{\rm SM} = 64\,{\rm GeV}$. This corresponds to $σ(pp \to HH) \cong 15$--$20\,{\rm fb}$, its {\em minimum} value for $\sqrt{s} = 13$--$14\,{\rm TeV}$ at the LHC. It will require at least the $27\,{\rm TeV}$ HE-LHC to observe this cross section. We also find $λ_{HHHH} \simeq 4(λ_{HHHH})_{\rm SM} = 0.129$, whose observation in $pp \to HHH$ requires a $100\,{\rm TeV}$ collider. Because of the above-mentioned sum rule, these results apply to {\em all} GW models. In view of this unpromising forecast, we stress that LHC searches for the new relatively light Higgs bosons of GW models are by far the surest way to test them in this decade.

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