AI 中文总结
本研究针对II型跷跷板模型中希格斯三重态的质量差问题，通过电弱圈修正计算其取值范围，分析不同质量差下的衰变分支比及部分子计数法的偏差，明确混合同号拓扑的存在条件及对现有排除边界的修正幅度。
AI 中文摘要
在对撞机相关研究文献中，II型跷跷板模型希格斯三重态的双电荷成员与单电荷成员之间的质量差通常被视为自由参数。当四次耦合λ₄在重整化标度μ̄=M_{H^{±±}}处被设为零时，电弱圈修正可将本文所考虑质量范围内的该质量差固定在767至841 MeV之间。将该标度向任意方向调整两倍，在200 GeV质量下会使圈修正值偏移208 MeV，在1 TeV质量下偏移量则降至42 MeV。在852 MeV的参考质量差下，对于质量为200 GeV（500 GeV）的双电荷希格斯粒子，H^{±±}→H^± W^{±(*)}衰变过程在三重态真空期望值的交叉点处占总宽度的40%（7%）。该质量差也是这一衰变率的部分子计数方法失效的位置。根据强子数据评估，在852 MeV质量差下，计数法将衰变率高估了1.46±0.05倍；在200 MeV质量差下则将其低估了4.87±0.09倍。混合同号拓扑结构是否存在，取决于λ₄的取值条件。在固定实验接收度的情况下，该衰变道会使两个已发表的排除边界沿相反方向移动，分支比层面的移动幅度分别为-1.4%和+24.5%。
英文摘要
The mass splitting between the doubly and singly charged members of the Higgs triplet of the type-II seesaw model is usually treated as a free parameter in the collider literature. Electroweak loops fix it to $767$ to $841$~MeV over the mass range considered here once the quartic coupling $λ_4$ is set to zero at the renormalization scale $\overlineμ= M_{H^{\pm\pm}}$. Moving that scale by a factor of two in either direction moves the loop value by $208$~MeV at $200$~GeV, falling to $42$~MeV at $1$~TeV. At the reference splitting of $852$~MeV, the transition $H^{\pm\pm} \to H^\pm W^{\pm(*)}$ takes $40\%$ ($7\%$) of the total width at the crossover triplet vacuum expectation value for a doubly charged Higgs mass of $200$~GeV ($500$~GeV). That splitting is also where the partonic counting of that rate fails. Evaluated from hadronic data, the counting overestimates the rate by a factor $1.46 \pm 0.05$ at a splitting of $852$~MeV and underestimates it by a factor $4.87 \pm 0.09$ at $200$~MeV. Whether the mixed same-sign topology survives is then a condition on $λ_4$. The same channel moves the two published exclusion boundaries in opposite directions, by $-1.4\%$ and $+24.5\%$, at the level of branching ratios and at fixed experimental acceptance.
Comments12 pages, 5 figures
