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arXiv 1806.11564hep-ph
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双Higgs产生的NLO QCD修正的解析方法

An Analytical Method for the NLO QCD Corrections to Double-Higgs Production

Roberto Bonciani, Giuseppe Degrassi, Pier Paolo Giardino, Ramona Gröber

摘要:

本文提出了一种新的计算高阶微扰修正的解析方法,并将其应用于胶子聚变产生Higgs对的双圈虚修正的计算。该方法是基于一个小的希格斯横向动量的振幅的扩展。这种方法给出了一个非常好的近似(优于千分之一)的部分子截面的质心能量区$\sqrt{\hat{s}} \lesssim 750$ GeV,其中$\sim95\%$的总强子截面集中。所提出的方法是通用的,可以在一个简单的方式应用到其他$2\to2$过程的虚拟高阶校正的计算,代表了改进的计算重质量膨胀的基础上。

英文摘要:

We propose a new method to calculate analytically higher-order perturbative corrections and we apply it to the calculation of the two-loop virtual corrections to Higgs pair production through gluon fusion. The method is based on the expansion of the amplitudes in terms of a small Higgs transverse momentum. This approach gives a very good approximation (better than per-mille) of the partonic cross section in the center of mass energy region $\sqrt{\hat{s}} \lesssim 750$ GeV, where $\sim95\%$ of the total hadronic cross section is concentrated. The presented method is general and can be applied in a straightforward way to the computation of virtual higher-order corrections to other $2\to2$ processes, representing an improvement with respect to calculations based on heavy mass expansions.

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