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arXiv 1112.3554hep-ph
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$H \to$ 3部分子螺旋度振幅的双环QCD修正

Two-Loop QCD Corrections to the Helicity Amplitudes for $H \to$ 3 partons

T. Gehrmann, M. Jaquier, E. W. N. Glover, A. Koukoutsakis

摘要:

许多标准模型希格斯玻色子的搜索策略都对观察到的与希格斯玻色子衰变产物相关的强子喷注应用了特定的选择标准,要么以喷注否决的形式,要么根据喷注多重性定义事件样本。为了改进对Higgs玻色子加喷流产生(以及与之密切相关的希格斯玻色子横动量分布)的理论描述,我们在一个顶夸克质量为无穷大的有效理论中导出了对过程$H \to ggg$和$H\to q \bar q g$的螺旋度振幅的双圈QCD修正.螺旋度振幅从每个过程的一般张量结构中出现的系数中提取。的系数来自费曼图振幅的投影仪内的传统的维正则化方案。我们的结果的红外极点结构符合红外因式分解的预期,振幅的有限部分表示为一维和二维调和多项式。

英文摘要:

Many search strategies for the Standard Model Higgs boson apply specific selection criteria on hadronic jets observed in association with the Higgs boson decay products, either in the form of a jet veto, or by defining event samples according to jet multiplicity. To improve the theoretical description of Higgs-boson-plus-jet production (and the closely related Higgs boson transverse momentum distribution), we derive the two-loop QCD corrections to the helicity amplitudes for the processes $H \to ggg$ and $H\to q \bar q g$ in an effective theory with infinite top quark mass. The helicity amplitudes are extracted from the coefficients appearing in the general tensorial structure for each process. The coefficients are derived from the Feynman graph amplitudes by means of projectors within the conventional dimensional regularization scheme. The infrared pole structure of our result agrees with the expectation from infrared factorization and the finite parts of the amplitudes are expressed in terms of one- and two-dimensional harmonic polylogarithms.

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