We discuss the production of a heavy neutral Higgs boson of a CP-conserving Two-Higgs-Doublet Model in gluon fusion and its decay into a four-fermion final state, $gg (\rightarrow VV) \rightarrow e^+e^-\mu^+\mu^-/e^+e^-\nu_l\bar\nu_l$. We investigate the interference contributions to invariant mass distributions of the four-fermion final state and other relevant kinematical observables. The relative importance of the different contributions is quantified for the process in the on-shell approximation, $gg\rightarrow ZZ$. We show that interferences of the heavy Higgs with the light Higgs boson and background contributions are essential for a correct description of the differential cross section. Even though they contribute below $\mathcal{O}(10\%)$ to those heavy Higgs signal cross sections, to which the experiments at the Large Hadron Collider were sensitive in its first run, we find that they are sizeable in certain regions of the parameter space that are relevant for future heavy Higgs boson searches. In fact, the interference contributions can significantly enhance the experimental sensitivity to the heavy Higgs boson.
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机译：我们讨论了胶子聚变中CP守恒的两希格斯-双重峰模型的重中性希格斯玻色子的产生及其在胶子融合中的衰变成四费米子的最终状态$ gg（\ rightarrow VV）\ rightarrow e ^ + e ^- \ mu ^ + \ mu ^-/ e ^ + e ^-\ nu_1 \ bar \ nu_l $。我们研究了干扰对四费米子终态和其他相关运动学可观测量的不变质量分布的影响。在壳近似中，该过程量化了不同贡献的相对重要性$ gg \ rightarrow ZZ $。我们表明，沉重的希格斯与轻的希格斯玻色子的干扰和背景贡献对于差分截面的正确描述至关重要。即使它们对那些沉重的希格斯信号横截面的贡献低于$ \ mathcal {O}（10 \％）$，大型强子对撞机的实验在第一轮中对它们敏感，但我们发现它们在某些区域相当大与未来沉重的希格斯玻色子搜索相关的参数空间。实际上，干扰贡献可以显着提高对重型希格斯玻色子的实验灵敏度。
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