论文标题
Electroweak风味统一
Electroweak flavour unification
论文作者
论文摘要
我们建议,可以在$ su(4)\ times sp(6)_l \ times sp(6)_r $无异常的仪表模型中以高能统一标准模型(SM)的电量和量子数。所有SM费用都包装到两个基本字段中,$ψ_l\ sim(\ Mathbf {4},\ Mathbf {6},\ Mathbf {1})$和$ψ_R\ sim(\ sim(\ Mathbf {4},{4},\ MathBf {1},\ MathBf {1}费米。嵌入在紫外线模型中时,sm higgs被电荷充满电,必然会在风味中充满风味。因此,仅将其与第三家族搭配到真空期的期望值是很自然的。 UV Higgs田地的其他组件被认为是沉重的。需要额外的标量来将这种对称性分解为SM,可以通过“ flavour deconstruct”仪表组进行。例如,我们提出了一个模式$ sp(6)_l \ to \ prod_ {i = 1}^3 su(2)_ {l,i} \ to su(2)_l $ for左手因子。当将重型希格斯组件集成到繁重的元素中,如果我们假设各种对称性破坏标量在不同的尺度上凝结,则自然会生成具有内部层次结构的逼真的夸克Yukawa耦合。我们计算的CKM矩阵不是通用的统一矩阵,但它可以精确地符合观察到的值。
We propose that the electroweak and flavour quantum numbers of the Standard Model (SM) could be unified at high energies in an $SU(4)\times Sp(6)_L \times Sp(6)_R$ anomaly-free gauge model. All the SM fermions are packaged into two fundamental fields, $Ψ_L \sim (\mathbf{4}, \mathbf{6}, \mathbf{1})$ and $Ψ_R\sim (\mathbf{4}, \mathbf{1},\mathbf{6})$, thereby explaining the origin of three families of fermions. The SM Higgs, being electroweakly charged, necessarily becomes charged also under flavour when embedded in the UV model. It is therefore natural for its vacuum expectation value to couple only to the third family. The other components of the UV Higgs fields are presumed heavy. Extra scalars are needed to break this symmetry down to the SM, which can proceed via `flavour-deconstructed' gauge groups; for instance, we propose a pattern $Sp(6)_L \to \prod_{i=1}^3 SU(2)_{L,i} \to SU(2)_L$ for the left-handed factor. When the heavy Higgs components are integrated out, realistic quark Yukawa couplings with in-built hierarchies are naturally generated without any further ingredients, if we assume the various symmetry breaking scalars condense at different scales. The CKM matrix that we compute is not a generic unitary matrix, but it can precisely fit the observed values.