标题： 双希格斯二重模型中的纠缠最大化和镜像对称 显示英文标题

标题： Entanglement Maximization and Mirror Symmetry in Two-Higgs-Doublet Models

摘要： 我们考虑在CP守恒的双希格斯二重模型(2HDM)中希格斯玻色子的2比2散射，并研究了在味空间最大化纠缠的含义，其中两个二重复子$\Phi_a$，$a=1,2$可以被视为一个量子比特：$\Phi_1=|0\rangle$和$\Phi_2=|1\rangle$。 更具体地，我们计算了$\Phi_a \Phi_b \to \Phi_c \Phi_d$的散射振幅，并要求对于完整的乘积基（例如计算基）出射味纠缠最大化，该基包括$\{|00\rangle,|01\rangle,|10\rangle,|11\rangle\}$。 在未破缺相且关闭规范相互作用的情况下，纠缠最大化导致四阶耦合之间出现$U(2)\times U(2)$全局对称性，这通常被质量项软破缺。 有趣的是，一旦希格斯玻色子获得了真空期望值，最大纠缠会强制执行一个精确的$U(2) \times U(2)$对称性，该对称性自发破缺为$U(1)\times U(1)$。作为副产品，这导致了希格斯对齐以及6个无质量Nambu-Goldstone玻色子的存在。 $U(2)\times U(2)$对称性可以被规范来提升无质量Goldstone粒子的质量，而维持最大纠缠则要求存在一个离散的$\mathrm{Z}_2$对称性来交换两个规范领域。 该模型在标量领域内具有保形不变性，包括费米子需要一个与标准模型由$\mathrm{Z}_2$对称性相关的镜像暗物质领域。 显示英文摘要

摘要： We consider 2-to-2 scatterings of Higgs bosons in a CP-conserving two-Higgs-doublet model (2HDM) and study the implication of maximizing the entanglement in the flavor space, where the two doublets $\Phi_a$, $a=1,2$, can be viewed as a qubit: $\Phi_1=|0\rangle$ and $\Phi_2=|1\rangle$. More specifically, we compute the scattering amplitudes for $\Phi_a \Phi_b \to \Phi_c \Phi_d$ and require the outgoing flavor entanglement to be maximal for a full product basis such as the computational basis, which consists of $\{|00\rangle,|01\rangle,|10\rangle,|11\rangle\}$. In the unbroken phase and turning off the gauge interactions, entanglement maximization results in the appearance of an $U(2)\times U(2)$ global symmetry among the quartic couplings, which in general is broken softly by the mass terms. Interestingly, once the Higgs bosons acquire vacuum expectation values, maximal entanglement enforces an exact $U(2) \times U(2)$ symmetry, which is spontaneously broken to $U(1)\times U(1)$. As a byproduct, this gives rise to Higgs alignment as well as to the existence of 6 massless Nambu-Goldstone bosons. The $U(2)\times U(2)$ symmetry can be gauged to lift the massless Goldstones, while maintaining maximal entanglement demands the presence of a discrete $\mathrm{Z}_2$ symmetry interchanging the two gauge sectors. The model is custodially invariant in the scalar sector, and the inclusion of fermions requires a mirror dark sector, related to the standard one by the $\mathrm{Z}_2$ symmetry.