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One-loop Matching and Running with Covariant Derivative Expansion · Around

2016

One-loop Matching and Running with Covariant Derivative Expansion

Henning, Brian, Lu, Xiaochuan, Murayama, Hitoshi

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We develop tools for performing effective field theory (EFT) calculations in a manifestly gauge-covariant fashion.

We clarify how functional methods account for one-loop diagrams resulting from the exchange of both heavy and light fields, as some confusion has recently arisen in the literature.
To efficiently evaluate functional traces containing these "mixed" one-loop terms, we develop a new covariant derivative expansion (CDE) technique that is capable of evaluating a much wider class of traces than previous methods.
The technique is detailed in an appendix, so that it can be read independently from the rest of this work.

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Z. U. Khandker, D. Li, and W. Skiba, Electroweak Corrections from Triplet Scalars
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