论文标题
希格斯字段的质量尺度
The mass scales of the Higgs field
论文作者
论文摘要
在该理论的第一个版本中，具有经典的标量势，诱导SSB的扇区与通过其仪表和Yukawa耦合引起的HIGGS场相互作用不同。我们采用了类似的观点，但是根据最近的晶格模拟，在$λφ^4 $理论中将SSB描述为弱的一阶相变。在这种情况下，由此产生的有效电位具有两个质量尺度：i）较低的质量$ m_h $，由最小值的二次形状定义，〜和〜ii）较大的质量$ m_h $，由零点能量定义。这些是指繁殖器中的不同动量量表，并与$ m^2_h \ sim m^2_h \ ln（λ_s/m_h）$相关，其中$λ_s$是标量扇区的紫外线临界值。我们已经通过晶格模拟了繁殖物和该理论的4D ising限制的易感性检查了这种两尺度的结构。这些表明，在截止理论中，$ m_h $和$ m_h $都是有限的，通过增加能量，可以从相对较低的价值过渡，例如$ m_h $ = 125 GEV，到更大的$ m_h $。相同的晶格数据给出了最终的估计$ M_H = 720 \ pm 30 $ GEV，该$ GEV引起了重新考虑LHC的实验情况。特别是对ATLAS + CMS数据的独立分析表明4-Lepton通道中的过量，好像在700 GEV附近存在新的标量共振。最后，存在两个截然不同的质量尺度，这些质量尺度需要在循环校正中为希格斯场传播器进行插值形式，可以通过那些仍然有利于Higgs粒子质量值的精确测量值来减少差异。
In the first version of the theory, with a classical scalar potential, the sector inducing SSB was distinct from the Higgs field interactions induced through its gauge and Yukawa couplings. We have adopted a similar perspective but, following most recent lattice simulations, described SSB in $λΦ^4$ theory as a weak first-order phase transition. In this case, the resulting effective potential has two mass scales: i) a lower mass $m_h$, defined by its quadratic shape at the minima, ~and~ ii) a larger mass $M_h$, defined by the zero-point energy. These refer to different momentum scales in the propagator and are related by $M^2_h\sim m^2_h \ln (Λ_s/M_h)$, where $Λ_s$ is the ultraviolet cutoff of the scalar sector. We have checked this two-scale structure with lattice simulations of the propagator and of the susceptibility in the 4D Ising limit of the theory. These indicate that, in a cutoff theory where both $m_h$ and $M_h$ are finite, by increasing the energy, there could be a transition from a relatively low value, e.g. $m_h$=125 GeV, to a much larger $M_h$. The same lattice data give a final estimate $M_h= 720 \pm 30 $ GeV which induces to re-consider the experimental situation at LHC. In particular an independent analysis of the ATLAS + CMS data indicating an excess in the 4-lepton channel as if there were a new scalar resonance around 700 GeV. Finally, the presence of two vastly different mass scales, requiring an interpolating form for the Higgs field propagator also in loop corrections, could reduce the discrepancy with those precise measurements which still favor large values of the Higgs particle mass.
