One-loop renormalization in Galileon effective field theory

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We investigate the renormalization structure of scalar Galileons in flat spacetime.

• We explicitly calculate the ultraviolet divergent one-loop contributions to the 2-point, 3-point, 4-point, and 5-point functions.
• We discuss the structure of the counterterms and their hierarchy within an effective field theory expansion.
• We comment on different resummation schemes, including a geometric resummation for which our results could be generalized to arbitrary n-point functions.