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One residue to rule them all: Electroweak symmetry breaking, inflation and field-space geometry
Physics Letters B ( IF 4.4 ) Pub Date : 2020-12-01 , DOI: 10.1016/j.physletb.2020.135876 Georgios K. Karananas , Marco Michel , Javier Rubio
Physics Letters B ( IF 4.4 ) Pub Date : 2020-12-01 , DOI: 10.1016/j.physletb.2020.135876 Georgios K. Karananas , Marco Michel , Javier Rubio
Abstract We point out that the successful generation of the electroweak scale via gravitational instanton configurations in certain scalar-tensor theories can be viewed as the aftermath of a simple requirement: the existence of a quadratic pole with a sufficiently small residue in the Einstein-frame kinetic term for the Higgs field. In some cases, the inflationary dynamics may also be controlled by this residue and therefore related to the Fermi-to-Planck mass ratio, up to possible uncertainties associated with the instanton regularization. We present here a unified framework for this hierarchy generation mechanism, showing that the aforementioned residue can be associated with the curvature of the Einstein-frame target manifold in models displaying spontaneous breaking of dilatations. Our findings are illustrated through examples previously considered in the literature.
中文翻译:
一个残余物统治它们:电弱对称性破坏、膨胀和场空间几何
摘要 我们指出,在某些标量张量理论中,通过引力瞬子构型成功产生电弱标度可以看作是一个简单要求的后果:在爱因斯坦坐标系动力学中存在一个具有足够小残差的二次极点。希格斯场的术语。在某些情况下,暴胀动力学也可能受该残差控制,因此与费米-普朗克质量比有关,直至与瞬子正则化相关的可能不确定性。我们在这里提出了这种层次结构生成机制的统一框架,表明在显示膨胀自发破坏的模型中,上述残差可以与爱因斯坦框架目标流形的曲率相关联。
更新日期:2020-12-01
中文翻译:
一个残余物统治它们:电弱对称性破坏、膨胀和场空间几何
摘要 我们指出,在某些标量张量理论中,通过引力瞬子构型成功产生电弱标度可以看作是一个简单要求的后果:在爱因斯坦坐标系动力学中存在一个具有足够小残差的二次极点。希格斯场的术语。在某些情况下,暴胀动力学也可能受该残差控制,因此与费米-普朗克质量比有关,直至与瞬子正则化相关的可能不确定性。我们在这里提出了这种层次结构生成机制的统一框架,表明在显示膨胀自发破坏的模型中,上述残差可以与爱因斯坦框架目标流形的曲率相关联。