We propose a scenario to retrodict the top and bottom mass and the Abelian gauge coupling from first principles in a microscopic model including quantum gravity. In our approximation, antiscreening quantum-gravity fluctuations induce an asymptotically safe fixed point for the Abelian hypercharge leading to a uniquely fixed infrared value that is observationally viable for a particular choice of microscopic gravitational parameters. The unequal quantum numbers of the top and bottom quark lead to different fixed-point values for the top and bottom Yukawa under the impact of gauge and gravity fluctuations. This results in a dynamically generated mass difference between the two quarks. To work quantitatively, the preferred ratio of electric charges of bottom and top in our approximation lies in close vicinity to the Standard-Model value of $Q_b/Q_t =-1/2$.

中文翻译：

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来自渐近安全量子引力的带电夸克的质量差

我们提出了一种方案，用于从包括量子引力在内的微观模型中的第一性原理推论顶部和底部质量以及阿贝尔量规耦合。在我们的近似值中，反屏蔽量子重力波动会引起Abelian超荷的渐近安全固定点，从而导致唯一固定的红外值，对于特定的微观重力参数选择，红外值在观察上是可行的。顶夸克和底夸克的不相等的量子数导致在规格和重力波动的影响下，顶和底汤川的固定点值不同。这导致两个夸克之间动态产生质量差。为了定量地工作，