无Higgsless模型中的Z到bbar和手征流
Z to b bbar and Chiral Currents in Higgsless Models
摘要：
本文计算了三格点无Higgsless模型中Z到bbar衰变的与味道相关的手征对数修正。我们计算这些修正图解在“gaugeless”的限制，其中的电弱耦合消失。我们还计算了手征对数修正的衰减Z到b bbar使用RGE分析有效场论，并表明结果一致。在计算过程中，我们计算了手征流在三位模型的无规范极限下的形式，并考虑了推广到N位模型的情况。本文阐明了三格点模型中无规范极限计算所依据的Ward-Takahashi恒等式，并描述了在全理论中如何在么正规范下得到Z到bbar振幅的结果。我们发现，三个站点的Higgsless模型所产生的测量Z到b bbar的唯象约束是相对温和的，只需要重狄拉克费米子是重于1 TeV左右，并自动满足其他精密电弱数据所允许的参数范围内。
英文摘要：
In this note we compute the flavor-dependent chiral-logarithmic corrections to the decay Z to b bbar in the three site Higgsless model. We compute these corrections diagrammatically in the "gaugeless" limit in which the electroweak couplings vanish. We also compute the chiral-logarithmic corrections to the decay Z to b bbar using an RGE analysis in effective field theory, and show that the results agree. In the process of this computation, we compute the form of the chiral current in the gaugeless limit of the three-site model, and consider the generalization to the N-site case. We elucidate the Ward-Takahashi identities which underlie the gaugeless limit calculation in the three-site model, and describe how the result for the Z to b bbar amplitude is obtained in unitary gauge in the full theory. We find that the phenomenological constraints on the three-site Higgsless model arising from measurements of Z to b bbar are relatively mild, requiring only that the heavy Dirac fermion be heavier than 1 TeV or so, and are satisfied automatically in the range of parameters allowed by other precision electroweak data.
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