arXiv 1504.017072015-04hep-ph

关于有效场论中反常希格斯玻色子耦合的注记

Note on Anomalous Higgs-Boson Couplings in Effective Field Theory

G. Buchalla, O. Cata, A. Celis, C. Krause

备注：: 7 pages, no figures; typos corrected; references added
DOI：: 10.1016/j.physletb.2015.09.027

摘要：

我们提出了一个参数化的异常希格斯玻色子耦合，这是系统的和实用的。它是基于电弱手征拉格朗日量，包括一个轻希格斯玻色子，作为有效场论（EFT）在电弱尺度$v$。对于$10\%$级的希格斯耦合与标准模型之间存在相当大的偏差的情况，这是一个合适的框架。在电弱规范相互作用领域，希格斯耦合被认为在参数上大于新物理效应。强调了功率计数在确定相关参数中的作用。三个相关标度$v$、新希格斯动力学标度$f$和截断$Λ=4πf$都允许在$ξ=v^2/f^2$和$f^2/Λ^2$中展开。前者对应于算子通过其规范维数的组织，后者对应于算子通过其循环序或手征维数的组织。因此，一般来说，EFT被组织为双重扩展。然而，只要$ξ\gg 1/16π^2$的EFT系统更接近手性计数。在EFT提供的一致近似中，与目前最重要的希格斯粒子产生和衰变过程相关的主要效应是由几个（通常是六个）耦合给出的。这些参数使我们能够以一种普遍和系统的方式描述希格斯玻色子的性质，并具有足够的精度在LHC进行测量。该框架可以系统地扩展到包括环路校正和高阶项的EFT。

英文摘要：

We propose a parametrization of anomalous Higgs-boson couplings that is both systematic and practical. It is based on the electroweak chiral Lagrangian, including a light Higgs boson, as the effective field theory (EFT) at the electroweak scale $v$. This is the appropriate framework for the case of sizeable deviations in the Higgs couplings of order $10\%$ from the Standard Model, considered to be parametrically larger than new-physics effects in the sector of electroweak gauge interactions. The role of power counting in identifying the relevant parameters is emphasized. The three relevant scales, $v$, the scale of new Higgs dynamics $f$, and the cut-off $Λ=4πf$, admit expansions in $ξ=v^2/f^2$ and $f^2/Λ^2$. The former corresponds to an organization of operators by their canonical dimension, the latter by their loop order or chiral dimension. In full generality the EFT is thus organized as a double expansion. However, as long as $ξ\gg 1/16π^2$ the EFT systematics is closer to the chiral counting. The leading effects in the consistent approximation provided by the EFT, relevant for the presently most important processes of Higgs production and decay, are given by a few (typically six) couplings. These parameters allow us to describe the properties of the Higgs boson in a general and systematic way, and with a precision adequate for the measurements to be performed at the LHC. The framework can be systematically extended to include loop corrections and higher-order terms in the EFT.

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摘要：

英文摘要：

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