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arXiv 1406.2652hep-phhep-th
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抑制有效势中的红外发散

Taming Infrared Divergences in the Effective Potential

J. Elias-Miro, J. R. Espinosa, T. Konstandin

摘要:

标准模型(SM)中的希格斯有效势,微扰计算,一般遭受红外(IR)发散时(场依赖)的树级质量的戈德斯通玻色子去零。这种发散会影响电位及其一阶导数,并随着回路阶数的增加而变得更糟。在本文中,我们证明了这些IR分歧是虚假的,我们对所有已知的IR问题项进行简单的求和(最多三个循环),并解释了如何扩展求和以消除任何顺序的所有此类分歧。该方法具有普遍适用性,并且可以在SM之外的场景中工作。我们的讨论有一些关系的情况下,最近提出的规范调解机制的规模打破在紫外线,其中声称,低能量希格斯势是非标准的。我们认为,所有的非去耦重部门的影响,可以吸收在重整化的低能量参数导致SM有效的理论。

英文摘要:

The Higgs effective potential in the Standard Model (SM), calculated perturbatively, generically suffers from infrared (IR) divergences when the (field-dependent) tree-level mass of the Goldstone bosons goes to zero. Such divergences can affect both the potential and its first derivative and become worse with increasing loop order. In this paper we show that these IR divergences are spurious, we perform a simple resummation of all IR-problematic terms known (up to three loops) and explain how to extend the resummation to cure all such divergences to any order. The method is of general applicability and would work in scenarios other than the SM. Our discussion has some bearing on a scenario recently proposed as a mechanism for gauge mediation of scale breaking in the ultraviolet, in which it is claimed that the low-energy Higgs potential is non-standard. We argue that all non-decoupling effects from the heavy sector can be absorbed in the renormalization of low-energy parameters leading to a SM-like effective theory.

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