Boundary-value problems in RG flows are not always unique when the beta-function Jacobian has complex eigenvalues, unlike initial-value problems, with a diagnostic tool and examples in the SM and ASQG.
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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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Non-uniqueness of boundary-value problems in Renormalization Group flows
Boundary-value problems in RG flows are not always unique when the beta-function Jacobian has complex eigenvalues, unlike initial-value problems, with a diagnostic tool and examples in the SM and ASQG.
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Fixed points of the renormalisation group running of quark and fermion mixing matrices in the Standard Model and beyond
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.
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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.
- Quantum gravity contributions to the gauge and Yukawa couplings in proper time flow