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arXiv 2006.01934hep-phhep-ex
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一般味守恒双Higgs二重态模型中的电子和μ子$g-2$反常

Electron and muon $g-2$ anomalies in general flavour conserving two Higgs doublets models

Francisco J. Botella, Fernando Cornet-Gomez, Miguel Nebot

备注：
32 pages, 11 figures
发表信息：
Phys. Rev. D 102, 035023 (2020)
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摘要：

在轻子扇区中没有标量变味中性耦合（SFCNC）的两Higgs偶极模型（2 HDMs）中，电子、μ子和τ子的相互作用可以在一个稳健的框架中解耦，在重整化群演化下是稳定的.在这个框架中，轻子味普适性（LFU）的打破超越了质量比例，打开了容纳带电轻子之间不同行为的可能性。我们分析了电子和μ子$(g-2)$异常的背景下，这些一般的风味保存模型在轻子部门（g $\ell$ FC）。我们考虑了两种不同的模型，I-g $\ell$ FC和II-g $\ell$ FC，其中夸克Yukawa耦合分别与I型和II型2 HDM中的夸克Yukawa耦合一致。我们找到两种类型的解决方案，完全再现两个$(g-2)$异常，并与LEP和LHC的实验约束，从LFU，从味道和电弱物理，并在标量部门的理论约束兼容。在第一种类型的解决方案中，所有的新标量的质量在1--2.5 TeV的范围内，真空的期望值（vevs）的两个双峰是非常相似的幅度，和两个异常占主导地位的两个环路Barr-Zee贡献。该解决方案出现在两个模型中。在第二种类型的解决方案中，一个循环的贡献是占主导地位的μ子异常，所有新的标量的质量低于1 TeV，和vev的比例是在10- 100的范围内。第二个中性标量$H$是新标量中较轻的一个，质量在210- 390 GeV范围内，而赝标量$A$较重，质量在400- 900 GeV范围内。新的带电标量$H^\pm$几乎与标量或赝标量简并。这第二种类型的解决方案只出现在I-g $\ell$ FC模型中。这两种解都需要希格斯势的$\mathbb{Z}_{2}$对称性的软破缺。

英文摘要：

In general two Higgs doublet models (2HDMs) without scalar flavour changing neutral couplings (SFCNC) in the lepton sector, the electron, muon and tau interactions can be decoupled in a robust framework, stable under renormalization group evolution. In this framework, the breaking of lepton flavour universality (LFU) goes beyond the mass proportionality, opening the possibility to accommodate a different behaviour among charged leptons. We analyze the electron and muon $(g-2)$ anomalies in the context of these general flavour conserving models in the leptonic sector (g$\ell$FC). We consider two different models, I-g$\ell$FC and II-g$\ell$FC, in which the quark Yukawa couplings coincide, respectively, with the ones in type I and in type II 2HDMs. We find two types of solutions that fully reproduce both $(g-2)$ anomalies, and which are compatible with experimental constraints from LEP and LHC, from LFU, from flavour and electroweak physics, and with theoretical constraints in the scalar sector. In the first type of solution, all the new scalars have masses in the 1--2.5 TeV range, the vacuum expectation values (vevs) of both doublets are quite similar in magnitude, and both anomalies are dominated by two loop Barr-Zee contributions. This solution appears in both models. In a second type of solution, one loop contributions are dominant in the muon anomaly, all new scalars have masses below 1 TeV, and the ratio of vevs is in the range 10--100. The second neutral scalar $H$ is the lighter among the new scalars, with a mass in the 210--390 GeV range while the pseudoscalar $A$ is the heavier, with a mass in the range 400--900 GeV. The new charged scalar $H^\pm$ is almost degenerate either with the scalar or with the pseudoscalar. This second type of solution only appears in the I-g$\ell$FC model. Both solutions require the soft breaking of the $\mathbb{Z}_{2}$ symmetry of the Higgs potential.

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