Quantum gravity contributions to the beta functions of gauge and Yukawa couplings are derived via the Schwinger proper-time flow equation; their dependence on gauge fixing and regulators is quantified at gravity's interactive fixed point and compared with other schemes.
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Six fixed points exist for the massless one-loop RG running of three-generation fermion mixing matrices, remaining fixed points to all orders via geometric properties of vector fields on the space of mixing matrices.
In asymptotically safe gravity, dimension-five couplings of ultralight scalar dark matter to gauge field strengths vanish and are not generated perturbatively.
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Towards theory constraints on ultralight dark matter from quantum gravity
In asymptotically safe gravity, dimension-five couplings of ultralight scalar dark matter to gauge field strengths vanish and are not generated perturbatively.