arXiv 1109.48462011-09hep-phhep-ex

关于Higgs衰变为双光子$H\to γγ$的注记

Note on Higgs Decay into Two Photons $H\to γγ$

Da Huang, Yong Tang, Yue-Liang Wu

备注：: 13 pages, 2 figures, references added, advantage of loop regularization method with the concept of irreduciable loop integral is emphasized, published version
发表信息：: Commun.Theor.Phys. 57 (2012) 427-434
DOI：: 10.1088/0253-6102/57/3/14

摘要：

在不改变原有理论的前提下，利用保旋度和保发散性态的环正则化方法，在四维时空中重新研究了由虚$W$环效应引起的Higgs衰变$H\to γγ$.虽然$H\to γγ$的单圈振幅是有限的，因为标准模型中的希格斯玻色子在树水平上没有与无质量光子的直接相互作用，但它涉及张量型和标量型发散积分，这些积分通常会破坏规范不变性，而无需施加适当的正则化方案使它们得到很好的定义。由于回路正则化方案能保证正则化张量型和标量型发散不可约回路积分之间的相容条件以保持规范不变性，我们明确地证明了在极限$M_W/M_H\to0$中不存在解耦，得到了与文献中的结果完全一致的结果.然后，我们澄清了早期的结果和最近得到的R。Gastmans，S.L.吴和T. T.吴在幺正规范中计算的优点变得很明显，即非去耦来自于$W$规范玻色子的纵向贡献。

英文摘要：

The Higgs decay $H\to γγ$ duo to the virtual $W$-loop effect is revisited in the unitary gauge by using the symmetry-preserving and divergent-behavior-preserving loop regularization method, which is realized in the four dimensional space-time without changing original theory. Though the one-loop amplitude of $H\to γγ$ is finite as the Higgs boson in the standard model has no direct interaction with the massless photons at tree level, while it involves both tensor-type and scalar-type divergent integrals which can in general destroy the gauge invariance without imposing a proper regularization scheme to make them well-defined. As the loop regularization scheme can ensure the consistency conditions between the regularized tensor-type and scalar-type divergent irreducible loop integrals to preserve gauge invariance, we explicitly show the absence of decoupling in the limit $M_W/M_H\to0$ and obtain a result agreed exactly with the earlier one in the literature. We then clarify the discrepancy between the earlier result and the recent one obtained by R. Gastmans, S.L. Wu and T.T. Wu. The advantage of calculation in the unitary gauge becomes manifest that the non-decoupling arises from the longitudinal contribution of the $W$ gauge boson.

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