论文标题
希格斯玻色子腐烂到4D正则化中的振动:IR取消,而没有evanevancent of nlo
Higgs boson decay into gluons in a 4D regularization: IR cancellation without evanescent fields to NLO
论文作者
论文摘要
使用有效的higgs-yang-mills相互作用的希格斯衰减在尺寸五操作员以及通常的QCD相互作用方面,在隐式正则化(IREG)的背景下进行了重新访问,并与常规维度正则化(CDR),四二二二光螺旋(FDH)(FDH)和Dimensional降低(dred)schemes schemes进行了比较。 $ h \ rightArrow gg(g)$的衰减率是在强制耦合中严格的四维设置中计算出的$α_s^3 $订单。此外,我们还包括在由3个元素以及带有光(零质量)夸克的Gluon Quark-Antiquark最终状态组成的实际发射通道中以相同扰动顺序贡献的联合过程。紫外线与IR差异的明确识别和分离是在工作中实现了该方法固有的重新归一化组规模关系。紫外线奇异性像往常一样通过重新归一化而被删除,由于该方法符合Kinoshita-Lee-Nauenberg(KLN)定理,因此IR差异被取消。最重要的是,我们验证是否需要根据某些在物理维度中部分运行的混合正规化需要介绍诸如$ε$ scalars之类的逃生场。
Higgs decay using an effective Higgs-Yang-Mills interaction in terms of a dimension five operator as well as usual QCD interactions is revisited in the context of Implicit Regularization (IReg) and compared with conventional dimensional regularization (CDR), four dimensional helicity (FDH) and dimensional reduction (DRED) schemes. The decay rate for $H \rightarrow gg(g)$ is calculated in this strictly four-dimensional set-up to $α_s^3$ order in the strong coupling. Moreover we include joint processes that contribute at the same perturbative order in the real emission channels consisting of 3 gluons as well as gluon quark-antiquark final states with light (zero mass) quarks. Unambiguous identification and separation of UV from IR divergences is achieved putting at work the renormalization group scale relation inherent to the method. UV singularities are removed as usual by renormalization, the IR divergences are cancelled due to the method's compliance with the Kinoshita-Lee-Nauenberg (KLN) theorem. Most importantly, we verify that no evanescent fields such as $ε$-scalars need be introduced as required by some mixed regularizations that operate partially in the physical dimension.