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The Geometric Universal One-Loop Effective Action
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We derive universal formulae for integrating out heavy degrees of freedom in scalar field theories up to one-loop level in terms of covariant quantities associated with the geometry of the field manifold. The universal matching results can be readily applied to phenomenologically interesting extensions of the Standard Model, as we demonstrate using a singlet scalar example. We also discuss the role of field redefinitions in effective field theory matching and simplifications resulting from going to a field basis where interactions are encoded in a nontrivial metric on the field manifold.
Forward citations
Cited by 2 Pith papers
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A Guide to Functional Methods Beyond One-Loop Order
Functional methods are generalized to two-loop EFT matching and running with manifest gauge covariance, and the hard-region matching formula is proven to all loop orders.
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The Potential of HEFT and the scale of New Physics
From a geometric recursion, the authors compute leading high-energy amplitudes with arbitrary multiplicities, resum them into unitarity bounds and cut-offs, and show that a dilaton HEFT reaches the SM as Δ→2 without p...
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