利用截面的四次方和三次方幂次依赖改进希格斯玻色子自耦合的约束
Improved constraints on Higgs boson self-couplings with quartic and cubic power dependencies of the cross section
AI总结：
本研究针对LHC希格斯对事件有限导致自耦合约束宽松的问题，通过纳入高阶量子修正、提出专门重整化流程，推导了含三次、四次幂次的截面新形式，将三线性希格斯自耦合上限显著收紧，并给出辅助实验分析的不变质量分布。
摘要：
精确测定希格斯玻色子自耦合对于理解电弱对称性破缺的深层机制至关重要。然而，由于大型强子对撞机（LHC）上的希格斯玻色子对事件数量有限，迄今为止仅建立了较为宽松的约束。当前的约束基于如下假设：在$κ$框架内，截面是三线性希格斯自耦合的二次函数。纳入来自虚希格斯玻色子的高阶量子修正会显著改变这一函数形式，引入关于三线性希格斯自耦合的新的四次方和三次方幂次依赖项。为推导这一新的函数形式，我们提出了一种专门的重整化流程，该流程会在每个计算步骤中追踪所有希格斯自耦合。此外，我们在$κ$框架内引入了耦合修正因子的重整化常数，以确保所有紫外发散都能被抵消。结合胶子-胶子融合和矢量玻色子融合两种道的截面新函数形式，ATLAS（CMS）合作组设定的$κ_{λ_{\rm 3H}}=λ_{\rm 3H}/λ_{\rm 3H}^{\rm SM}$的上限从6.6（6.49）降至5.5（5.39）。不过，从希格斯玻色子对产生数据中提取关于四次希格斯自耦合$λ_{\rm 4H}$的有意义约束仍然具有挑战性。我们还给出了不同$κ_λ$取值下希格斯玻色子对的不变质量分布，这可为实验分析设置最优截断提供帮助。
英文摘要：
Precise determination of the Higgs boson self-couplings is essential for understanding the mechanism underlying electroweak symmetry breaking. However, owing to the limited number of Higgs boson pair events at the LHC, only loose constraints have been established to date. Current constraints are based on the assumption that the cross section is a quadratic function of the trilinear Higgs self-coupling within the $κ$ framework. Incorporating higher-order quantum corrections from virtual Higgs bosons would significantly alter this functional form, introducing new quartic and cubic power dependencies on the trilinear Higgs self-coupling. To derive this new functional form, we propose a specialized renormalization procedure that tracks all Higgs self-couplings at each calculation step. Additionally, we introduce renormalization constants for coupling modifiers within the $κ$ framework to ensure the cancellation of all ultraviolet divergences. With new functional forms of the cross sections in both the gluon-gluon fusion and vector boson fusion channels, the upper limit of $κ_{λ_{\rm 3H}}=λ_{\rm 3H}/λ_{\rm 3H}^{\rm SM}$ set by the ATLAS (CMS) collaboration is reduced from 6.6 (6.49) to 5.5 (5.39). However, extracting a meaningful constraint on the quartic Higgs self-coupling $λ_{\rm 4H}$ from Higgs boson pair production data remains challenging. We also present the invariant mass distributions of the Higgs boson pair at different values of $κ_λ$, which could assist in setting optimal cuts for experimental analysis.
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