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arXiv 1708.09408hep-ph
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多Higgs二重态模型:物理参数化、求和规则和么正性界限

Multi-Higgs doublet models: physical parametrization, sum rules and unitarity bounds

Miguel P. Bento, Howard E. Haber, J. C. Romão, João P. Silva

摘要:

如果标准模型的标量扇区不是最小的,那么我们可以预期多代超荷-1/2标量偶线类似于费米子的世代结构。在这项工作中,我们研究了由N个希格斯偶极子组成的希格斯扇区的结构(其中N \geq 2)。在所谓的荷电希格斯基中工作特别方便,其中中性希格斯真空期望值完全位于第一个希格斯二重态中,其余N-1个希格斯二重态的荷电分量是质量本征态场。我们阐明了规范玻色子与物理希格斯标量和戈德斯通玻色子的相互作用,并表明它们是由一个N × 2N矩阵。这个矩阵依赖于(N-1)(2N-1)个实参数,这些实参数与带电希格斯基中中性希格斯场的混合有关。在这些参数中,N-1是非物理的(可以通过物理带电希格斯场的重定相来消除),剩下的2(N-1)^2个参数是物理的。我们还展示了一个特别简单的形式的三次相互作用和一些四次相互作用的戈德斯通玻色子的物理希格斯标量。这些结果被应用在希格斯耦合求和规则的推导和树水平的幺正性界限,限制四次标量耦合的大小。特别地,分别对具有四阶CP对称性和Z_3对称性的三个Higgs偶极模型给出了新的应用。

英文摘要:

If the scalar sector of the Standard Model is non-minimal, one might expect multiple generations of the hypercharge-1/2 scalar doublet analogous to the generational structure of the fermions. In this work, we examine the structure of a Higgs sector consisting of N Higgs doublets (where N \geq 2). It is particularly convenient to work in the so-called charged Higgs basis, in which the neutral Higgs vacuum expectation value resides entirely in the first Higgs doublet, and the charged components of remaining N-1 Higgs doublets are mass-eigenstate fields. We elucidate the interactions of the gauge bosons with the physical Higgs scalars and the Goldstone bosons and show that they are determined by an Nx2N matrix. This matrix depends on (N-1)(2N-1) real parameters that are associated with the mixing of the neutral Higgs fields in the charged Higgs basis. Among these parameters, N-1 are unphysical (and can be removed by rephasing the physical charged Higgs fields), and the remaining 2(N-1)^2 parameters are physical. We also demonstrate a particularly simple form for the cubic interaction and some of the quartic interactions of the Goldstone bosons with the physical Higgs scalars. These results are applied in the derivation of Higgs coupling sum rules and tree-level unitarity bounds that restrict the size of the quartic scalar couplings. In particular, new applications to three Higgs doublet models with an order-4 CP symmetry and with a Z_3 symmetry, respectively, are presented.

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