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arXiv 2007.09164hep-ph
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Higgs和Drell-Yan的联合再确认唯象

Phenomenology of combined resummation for Higgs and Drell--Yan

Tanjona R. Rabemananjara

摘要:

我们研究了最近提出的阈值和所谓的阈值改进的横向动量remmation的组合形式主义的唯象影响,通过使用它来改善固定阶的结果。这种形式主义允许系统地改善横向动量的再确认,这是有效的,在整个范围内的$p_T$的阈值贡献的列入。我们使用的Borel方法作为一个合适的处方定义的梅林和傅立叶逆变换的上下文中组合的图形化表达。研究应用于两个QCD过程,即通过胶子融合产生的希格斯玻色子和通过Drell-Yan机制产生的$Z$玻色子。我们比较我们的结果,标准的横向动量recrmation,以及固定的顺序的结果。我们发现,阈值改进的横向动量remation导致更快的微扰收敛在小$p_T$,而包括阈值remation提高了协议与固定阶计算在中型和大型$p_T$。这些影响在希格斯玻色子的情况下更为明显,已知希格斯玻色子具有较慢的微扰收敛。

英文摘要:

We study the phenomenological impact of a recently suggested formalism for the combination of threshold and a so-called threshold-improved transverse momentum resummation, by using it to improve the fixed-order results. This formalism allows for a systematic improvement of the transverse momentum resummation that is valid in the entire range of $p_T$ by the inclusion of the threshold contribution. We use the Borel method as a suitable prescription for defining the inverse Mellin and Fourier transforms in the context of combined resummed expression. The study is applied to two QCD processes, namely the Higgs boson produced via gluon fusion and $Z$ boson production via the Drell--Yan mechanism. We compare our results to the standard transverse momentum resummation, as well as to the fixed-order results. We find that the threshold-improved transverse momentum resummation leads to faster perturbative convergence at small $p_T$ while the inclusion of threshold resummation improves the agreement with fixed-order calculations at medium and large $p_T$. These effects are more pronounced in the case of Higgs which is known to have slower perturbative convergence.

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