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We present a general framework to systematically study the derivativeexpansion of asymptotically safe quantum gravity. It is based on an exactdecoupling and cancellation of different modes in the Landau limit, andimplements a correct mode count as well as a regularisation based ongeometrical considerations. It is applicable independent of the truncationorder. To illustrate the power of the framework, we discuss the quartic orderof the derivative expansion and its fixed point structure as well as physicalimplications.

The derivative expansion in asymptotically safe quantum gravity: general setup and quartic order