论文标题
WW与Electroweak手性Lagrangian的一环校正
One-loop corrections for WW to HH in HEFT with the electroweak chiral Lagrangian
论文作者
论文摘要
在这项工作中，我们介绍了在Higgs有效田间理论（HEFT）的背景下，对散射过程$ ww \ to hh $的一环辐射校正的计算。我们假设费米尼相互作用就像在标准模型中一样，而玻色子扇区中的超级标准模型相互作用是由electroweak手性拉格朗尼亚人给出的。一环振幅和重新归一化程序的计算是根据所涉及的一颗射击功能（1PI）和使用$r_ξ$协变量测量值执行的。 1PI在任意外部动量上的函数的重新归一化是一个更雄心勃勃的程序，而不是仅仅用外壳外腿重新归一化，并且可以将它们用于几个散射幅度。实际上，我们在这里使用了以前的工作中已经计算出的一些1PI功能（用于$ wz \ to wz $）。我们将通过计算$ ww \ to hh $所需的新1PI功能的计算来补充它们。从这种重新规定的过程中，我们还将得出与此散射过程相关的ECHL的完整一组重新归一化系数。在最后一部分中，我们将介绍一环横截面的ECHL预测的数值结果，$σ（ww \ to hh）| _ {\ rm 1-1-循环} $，是质量能量中心的函数，显示了相对于树级别预测的单循环校正相对的相对大小。还将呈现SM案例的单循环校正为$ ww \ to hh $的结果，以与ECHL情况进行比较，遵循相同的计算方法，即通过1PI函数的重新归一化。
In this work we present the computation of the one-loop electroweak radiative corrections to the scattering process $WW\to HH$ within the context of the Higgs Effective Field Theory (HEFT). We assume that the fermionic interactions are like in the Standard Model, whereas the Beyond Standard Model interactions in the bosonic sector are given by the Electroweak Chiral Lagrangian. The computation of the one-loop amplitude and the renormalization program is performed in terms of the involved one-particle-irreducible functions (1PI) and using $R_ξ$ covariant gauges. The renormalization of 1PI functions at arbitrary external momenta is a more ambitious program than just renormalizing the amplitude with on-shell external legs and it has the advantage that they can be used in several scattering amplitudes. In fact, we use here some of the 1PI functions already computed in our previous work (devoted to $WZ \to WZ$). We will complement them here with the computation of the new 1PI functions required for $WW \to HH$. From this renormalization procedure we will also derive the full set of renormalized coefficients of the EChL that are relevant for this scattering process. In the last part, we will present the numerical results for the EChL predictions of the one-loop level cross section, $σ(WW \to HH)|_{\rm 1-loop}$, as a function of the center of mass energy, showing the relative size of the one-loop radiative corrections respect to the tree level prediction in terms of the EChL coefficients. The results of the one-loop corrections to $WW \to HH$ for the SM case will be also presented, for comparison with the EChL case, following the same computational method, i.e., by means of the renormalization of 1PI functions.
