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组合Higgs -标量场暴胀的重子生成

Baryogenesis from combined Higgs - scalar field inflation

Yann Cado, Mariano Quirós

备注：
Version to appear in Physical Review D, 56 pages, 11 figures
发表信息：
Phys. Rev. D 106 (2022) 5, 055018
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摘要：

我们研究修改的希格斯通货膨胀的情况下，我们引入了额外的标量$ϕ$，质量$m$，耦合到里奇标量为$gϕ^2 R$，并通过拉格朗日项$μϕh^2$与希格斯场$h$混合。这两个领域都参与了一个酉理论的膨胀过程，该理论预测的宇宙学观测值与普朗克/BICEP/Keck合作的结果一致。此外，通过将$ϕ$与超荷规范群的Chern-Simons项耦合为$f_ϕ^{-1}ϕ\,Y_{μν}\tilde Y^{μν}$的$\mathcal{CP}$奇有效算符，在最后的$e$折叠过程中产生最大螺旋磁场.我们在耦合$ f_ϕ$中发现了一个窗口，在那里这些场在电弱相变之前经受住了所有的约束，并且通过标准模型手征异常来产生宇宙的重子不对称性。从唯象的角度来看，该模型可以解决标准模型在$\mathcal Q_I\simeq 10^{11}$ GeV尺度下的不稳定性问题，只要$μ\lesssim m \lesssim \mathcal Q_I$和对于$m\lesssim \mathcal{O}$（few）~TeV，$ϕ$-$h$混合变得相当大，而理论变得自然。因此，后者预测了三线性和四次耦合的修改，可以在HE-LHC以及未来的对撞机上进行探索，并允许在LHC直接产生$ϕ$，然后衰变为$hh$。ATLAS和CMS的现有结果已经对95% C. L.处的重标量$m\gtrsim 0.55$ ~TeV的质量提出了（温和的）限制。

英文摘要：

We study a modification of the Higgs inflation scenario where we introduce an extra scalar $ϕ$, with mass $m$, coupled to the Ricci scalar as $gϕ^2 R$, and mixed with the Higgs field $h$ via the Lagrangian term $μϕh^2$. Both fields participate in the inflation process in a unitary theory that predicts values of the cosmological observables in agreement with the results from the Planck/BICEP/Keck collaborations. In addition, by means of a $\mathcal{CP}$-odd effective operator that couples $ϕ$ to the Chern-Simons term of the hypercharge gauge group as $f_ϕ^{-1}ϕ\,Y_{μν}\tilde Y^{μν}$, maximally helical magnetic fields are produced during the last $e$-folds of inflation. We found a window in the coupling $ f_ϕ$ where these fields survive all constraints until the electroweak phase transition, and source the baryon asymmetry of the Universe through the Standard Model chiral anomaly. From a phenomenological perspective, the model can solve the Standard Model instability problem at the scale $\mathcal Q_I\simeq 10^{11}$ GeV, provided that $μ\lesssim m \lesssim \mathcal Q_I$, and for $m\lesssim \mathcal{O}$(few)~TeV, the $ϕ$-$h$ mixing becomes sizable while the theory turns natural. The latter thus predicts modifications of the trilinear and quartic couplings that could be explored at the HE-LHC, as well as at future colliders, and allows for direct $ϕ$ production at the LHC followed by decay into $hh$. Present results from ATLAS and CMS already put (mild) bounds on the mass of the heavy scalar as $m\gtrsim 0.55$~TeV at 95\% C.L.

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