Composite Higgs models can be extended to the Planck scale by means of the partially unified partial compositeness (PUPC) framework. We present in detail the Techni-Pati-Salam model, based on a renormalizable gauge theory $SU(8{)}_{PS}\times SU(2{)}_L\times SU(2{)}_R$. We demonstrate that masses and mixings for all generations of standard model fermions can be obtained via partial compositeness at low energy, with four-fermion operators mediated by either heavy gauge bosons or scalars. The strong dynamics is predicted to be that of a confining $Sp(4{)}_{\mathrm{HC}}$ gauge group, with hyperfermions in the fundamental and two-index antisymmetric representations, with fixed multiplicities. This is motivation for lattice studies of the infrared near-conformal walking phase, with results that may validate or rule out the model. This is the first complete and realistic attempt at providing an ultraviolet completion for composite Higgs models with top partial compositeness. In the baryon-number conserving vacuum, the theory also predicts a dark matter candidate, with a mass in the few TeV range, protected by semi-integer baryon number.

中文翻译：

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Techni-Pati-Salam复合希格斯模型

可以通过部分统一的局部复合性（PUPC）框架将复合Higgs模型扩展到Planck规模。我们基于可归一化量规理论，详细介绍了Techni-Pati-Salam模型$\mathrm{小号}ü（8{）}_{P\mathrm{小号}}\times \mathrm{小号}ü（\mathrm{2个}{）}_{\mathrm{大号}}\times \mathrm{小号}ü（\mathrm{2个}{）}_{\mathrm{[R}}$。我们证明，可以通过低能量下的部分合成来获得所有世代标准模型费米子的质量和混合，其中四费米子算子由重规格玻色子或标量介导。强劲的动力被认为是局限性的$\mathrm{小号}p（4{）}_{\mathrm{HC}}$规范组，在基本和双指标反对称表示中具有高铁，具有固定的多重性。这是对红外近等角形行走相进行晶格研究的动机，其结果可能会验证或排除该模型。这是为具有最高局部复合性的复合希格斯模型提供紫外线填充的第一次完整而现实的尝试。在重子数守恒真空中，该理论还预测了质量处于少数TeV范围内的，受半整数重子数保护的暗物质候选物。