来自渐近安全引力的SMEFT的费米子部分
The fermion sector of the SMEFT from asymptotically safe gravity
AI总结：
研究从具有量子引力的渐近安全标准模型预测SMEFT系数，通过研究四费米子算符在引力涨落下的流，加强渐近安全近乎微扰性质证据，预测SMEFT系数比值，还发现使算符子集相关的机制并对六维SMEFT相互作用分类。
AI中文摘要：
量子引力通过重整化产生的有效相互作用影响标准模型场。这些表现为标准模型有效场论（SMEFT）算符，新物理的效应由高阶SMEFT系数的值来参数化。作为从具有量子引力的渐近安全标准模型预测这些SMEFT系数的一步，我们研究了一组有代表性的四费米子算符在引力涨落下的流。通过发现这些六维相互作用仍然无关，我们加强了渐近安全近乎微扰性质的证据，从而预测了红外区域SMEFT系数的无量纲比值的特定值。我们还发现了一种能使这些算符的特定子集变得相关的机制。该子集由对称性考虑确定。在此基础上，我们将六维SMEFT相互作用分为两类。第一类相互作用预计不为零，但受普朗克尺度抑制。第二类相互作用在小引力耦合下预计为零，但在较大引力耦合下可能成为理论的自由参数。
英文摘要：
Quantum gravity impacts Standard Model fields through effective interactions generated by renormalization. These appear as Standard Model Effective Field Theory (SMEFT) operators, where the effects of new physics are parametrized by the values of the higher-order SMEFT coefficients. As a step towards predicting these SMEFT coefficients from the asymptotically safe Standard Model with quantum gravity, we investigate the flow of a representative set of four-fermion operators under gravitational fluctuations. We strengthen the evidence for the near-perturbative nature of asymptotic safety by finding that these dimension-six-interactions remain irrelevant, resulting in the prediction of specific values for the dimensionless ratios of SMEFT coefficients in the IR. We also find a mechanism that can make a specific subset of these operators relevant. This subset is determined by symmetry considerations. On this basis, we provide a categorization of dimension-six-SMEFT interactions into two categories. Interactions in the first category are predicted to be non-zero, but Planck-scale suppressed. Interactions in the second category are predicted to be zero at small gravitational coupling, but may become free parameters of the theory at larger gravitational couplings.
