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arXiv 1807.11501hep-ph
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在N $^3$ LO QCD上使用$q_T$减法形式在LHC上产生希格斯玻色子

Higgs boson production at the LHC using the $q_T$ subtraction formalism at N$^3$LO QCD

Leandro Cieri, Xuan Chen, Thomas Gehrmann, E. W. N. Glover, Alexander Huss

摘要:

我们考虑强子碰撞中在大顶夸克质量极限下胶子-胶子融合产生希格斯玻色子的高阶QCD修正。将横动量($q_T$)减法推广到次-领先阶($^3$ LO),并将其与NNLO Higgs-plus-jet计算相结合,数值计算了$^3$ LO处胶子聚变产生希格斯玻色子的差分红外安全观测值.为了消除红外发散,我们利用相关的$q_T$分布在小$q_T$区域的普遍行为。我们记录所有必要的成分的横向动量减法方法高达N $^3$ LO。缺失的三阶共线函数,其仅在$q_T$ =0处起作用,使用处方来近似,该处方使用该阶处的总希格斯玻色子截面的已知结果。作为三阶$q_T$减法的第一个应用,我们给出了LHC中希格斯玻色子的$^3$ LO快度分布。

英文摘要:

We consider higher-order QCD corrections to Higgs boson production through gluon-gluon fusion in the large top quark mass limit in hadron collisions. We extend the transverse-momentum ($q_T$) subtraction method to next-to-next-to-next-to-leading order (N$^3$LO) and combine it with the NNLO Higgs-plus-jet calculation to numerically compute differential infrared-safe observables at N$^3$LO for Higgs boson production in gluon fusion. To cancel the infrared divergences, we exploit the universal behaviour of the associated $q_T$ distributions in the small-$q_T$ region. We document all the necessary ingredients of the transverse-momentum subtraction method up to N$^3$LO. The missing third order collinear functions, which contribute only at $q_T$ =0, are approximated using a prescription which uses the known result for the total Higgs boson cross section at this order. As a first application of the third-order $q_T$ subtraction method, we present the N$^3$LO rapidity distribution of the Higgs boson at the LHC.

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