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arXiv 1210.0141hep-ph
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幺正规范中希格斯玻色子衰变为两个光子的剖析

Anatomy of the Higgs boson decay into two photons in the unitary gauge

Athanasios Dedes, Kristaq Suxho

摘要:

在这项工作中,我们回顾和澄清计算问题的W规范玻色子的单圈贡献的H ->伽玛衰变振幅,在幺正规范和标准模型。我们发现,高度发散的积分取决于任意矢量的动量转移的选择。这些任意向量的一个特定组合将表面发散降低到对数发散。剩余的模糊性,然后固定利用规范不变性和戈德斯通玻色子等价定理。我们的方法是严格实现四维。振幅的结果与在极限d-> 4中使用维数正则化(DR)获得的“著名”结果一致,其中d是欧几里得空间中的空间维数。当d=4时,出现了一个三球面项,使得沃德恒等式和等价定理不一致。我们还研究了最近提出的四维正则化方案,并发现与DR结果一致。

英文摘要:

In this work, we review and clarify computational issues about the W-gauge boson one-loop contribution to the H -> gamma gamma decay amplitude, in the unitary gauge and in the Standard Model. We find that highly divergent integrals depend upon the choice of shifting momenta with arbitrary vectors. One particular combination of these arbitrary vectors reduces the superficial divergency down to a logarithmic one. The remaining ambiguity is then fixed by exploiting gauge invariance and the Goldstone Boson Equivalence Theorem. Our method is strictly realised in four-dimensions. The result for the amplitude agrees with the "famous" one obtained using dimensional regularisation (DR) in the limit d-> 4, where d is the number of spatial dimensions in Euclidean space. At the exact equality d=4, a three-sphere surface term appears that renders the Ward Identities and the equivalence theorem inconsistent. We also examined a recently proposed four-dimensional regularisation scheme and found agreement with the DR outcome.

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